<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by DFIN XBRL Schema Document - http://www.dfinsolutions.com/ - on 19-06-2026 08:26:06 AM -->
<!-- Copyright(c) 2026 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<schema targetNamespace="http://www.bny.com/20260618" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:bmifivi="http://www.bny.com/20260618" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:srt-types="http://fasb.org/srt-types/2025" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef-pre="http://xbrl.sec.gov/oef-pre/2025" xmlns:oef-lab="http://xbrl.sec.gov/oef-lab/2025" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:country="http://xbrl.sec.gov/country/2025" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:us-types="http://fasb.org/us-types/2025" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:oef-def="http://xbrl.sec.gov/oef-def/2025" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:srt="http://fasb.org/srt/2025" xmlns:oef-sr="http://xbrl.sec.gov/oef-sr/2025" xmlns:srt-roles="http://fasb.org/srt-roles/2025" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:stpr="http://xbrl.sec.gov/stpr/2025" elementFormDefault="qualified">
	<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
	<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
	<import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
	<import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd"/>
	<import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>   
	<import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd"/>
	<import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd"/>
	<import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd"/>
	<import namespace="http://xbrl.sec.gov/oef-sr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-sr-2025.xsd"/>
	<import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd"/>
	<import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd"/>
	<import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd"/>
	<annotation>
		<appinfo>
			<link:linkbase id="lnk">
				<link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReport" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReport"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportHoldingsDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportLineGraphDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportAverageAnnualReturnDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ClassOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ClassOnly"/>
				<link:roleRef roleURI="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists" xlink:type="simple" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd#eedm"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/LargestHoldingOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#LargestHoldingOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other1CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other1CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#AdditionalIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#BroadBasedIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other2CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other2CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/SalesLoadOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#SalesLoadOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/MaturityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#MaturityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/IndustrySectorOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#IndustrySectorOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/CreditQualityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#CreditQualityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/GeographicRegionOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#GeographicRegionOnly"/>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReport">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000765Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000766Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000734Member" order="4.0" />
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000765Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000766Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000734Member" order="4.0" />   
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetBackedSecuritiesMember" xlink:label="AssetBackedSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="AssetBackedSecuritiesMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USTreasurySecuritiesMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CommercialMortgageBackedSecuritiesMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USGovernmentCorporationsAndAgenciesSecuritiesMember" xlink:label="USGovernmentCorporationsAndAgenciesSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentCorporationsAndAgenciesSecuritiesMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedShortMember" xlink:label="USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedShortMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MunicipalSecuritiesMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesCollateralizedMunicipalBackedMember" xlink:label="USGovernmentAgenciesCollateralizedMunicipalBackedMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesCollateralizedMunicipalBackedMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ForeignGovernmentalMember" xlink:label="ForeignGovernmentalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="ForeignGovernmentalMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageSecuritiesMember" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CorporateBondsAndNotesMember" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedLongMember" xlink:label="USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedLongMember" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClAMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClCMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MetaPlatformsIncClAMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="BerkshireHathawayIncClBMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AppleIncMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NVIDIACorpMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AmazonComIncMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="BroadcomIncMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="TeslaIncMember" order="11.0" />
					<!--GeographicRegionDomain Only presentation and label linkbases-->			 
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
					<!--IndustrySectorDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="RealEstateSectorMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="FinancialServicesSectorMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="HealthcareSectorMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="EnergySectorMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerStaplesSectorMember" xlink:label="ConsumerStaplesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerStaplesSectorMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrialSectorMember" xlink:label="IndustrialSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="IndustrialSectorMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_InformationTechnologySectorMember" xlink:label="InformationTechnologySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="InformationTechnologySectorMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaterialsSectorMember" xlink:label="MaterialsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="MaterialsSectorMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CommunicationsSectorMember" xlink:label="CommunicationsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="CommunicationsSectorMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerDiscretionarySectorMember" xlink:label="ConsumerDiscretionarySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerDiscretionarySectorMember" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_UtilitiesSectorMember" xlink:label="UtilitiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="UtilitiesSectorMember" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TechnologySectorMember" xlink:label="TechnologySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="TechnologySectorMember" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentSectorMember" xlink:label="GovernmentSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="GovernmentSectorMember" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="InvestmentCompaniesSectorMember" order="15.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerNonCyclicalMember" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="NetOtherAssetsAndLiabilitiesSectorMember" order="17.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerCyclicalMember" order="18.0" />
					<!--CreditQualityDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>	
					<!--ExternalCreditRatingFitchMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingFitchMember" xlink:label="ExternalCreditRatingFitchMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingFitchMember" xbrldt:usable="false" order="1.0"/>
					<!--ExternalCreditRatingMoodysMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingMoodysMember" xlink:label="ExternalCreditRatingMoodysMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingMoodysMember" xbrldt:usable="false" order="2.1"/>
					<!--ExternalCreditRatingStandardPoorsMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingStandardPoorsMember" xlink:label="ExternalCreditRatingStandardPoorsMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingStandardPoorsMember" xbrldt:usable="false" order="3.1"/>
					<!--CreditRatingAMBestDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CreditRatingAMBestDomain" xlink:label="CreditRatingAMBestDomain"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="CreditRatingAMBestDomain" xbrldt:usable="false" order="4.1"/>
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails">            
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000765Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000766Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000734Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails">            
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000765Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000766Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000734Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				</link:presentationLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ClassOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000765Member" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000766Member" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000734Member" order="3.0"/>
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				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other1CategoryOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other2CategoryOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/LargestHoldingOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClAMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClCMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MetaPlatformsIncClAMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="BerkshireHathawayIncClBMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AppleIncMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NVIDIACorpMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AmazonComIncMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="BroadcomIncMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="TeslaIncMember" order="10.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/SalesLoadOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USTreasurySecuritiesMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CommercialMortgageBackedSecuritiesMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USGovernmentCorporationsAndAgenciesSecuritiesMember" xlink:label="USGovernmentCorporationsAndAgenciesSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentCorporationsAndAgenciesSecuritiesMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedShortMember" xlink:label="USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedShortMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MunicipalSecuritiesMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesCollateralizedMunicipalBackedMember" xlink:label="USGovernmentAgenciesCollateralizedMunicipalBackedMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesCollateralizedMunicipalBackedMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ForeignGovernmentalMember" xlink:label="ForeignGovernmentalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="ForeignGovernmentalMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="MortgageSecuritiesMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="CorporateBondsAndNotesMember" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedLongMember" xlink:label="USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="USGovernmentAgenciesMortgageBackedLongMember" order="12.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/MaturityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/IndustrySectorOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="InvestmentCompaniesSectorMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="ConsumerNonCyclicalMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="NetOtherAssetsAndLiabilitiesSectorMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="IndustrySectorDomain" xlink:to="ConsumerCyclicalMember" order="4.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/CreditQualityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>
				</link:definitionLink>
				<!--GeographicRegionOnly use only for STPR-->
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/GeographicRegionOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
				</link:definitionLink>
				<link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_RealEstateSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Real Estate Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RealEstateSectorMember" xlink:to="label_RealEstateSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Financial Services Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FinancialServicesSectorMember" xlink:to="label_FinancialServicesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_HealthcareSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Healthcare Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HealthcareSectorMember" xlink:to="label_HealthcareSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_EnergySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Energy Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="EnergySectorMember" xlink:to="label_EnergySectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_TechnologySectorMember" xlink:label="TechnologySectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_TechnologySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Technology Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TechnologySectorMember" xlink:to="label_TechnologySectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_GovernmentSectorMember" xlink:label="GovernmentSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_GovernmentSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Government Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GovernmentSectorMember" xlink:to="label_GovernmentSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesSectorMember" xlink:label="InvestmentCompaniesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompaniesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Companies Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompaniesSectorMember" xlink:to="label_InvestmentCompaniesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerNonCyclicalMember" xlink:label="ConsumerNonCyclicalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ConsumerNonCyclicalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Consumer Non cyclical [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ConsumerNonCyclicalMember" xlink:to="label_ConsumerNonCyclicalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesSectorMember" xlink:label="NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesSectorMember" xlink:to="label_NetOtherAssetsAndLiabilitiesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ConsumerCyclicalMember" xlink:label="ConsumerCyclicalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ConsumerCyclicalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Consumer Cyclical [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ConsumerCyclicalMember" xlink:to="label_ConsumerCyclicalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesMember" xlink:to="label_NetOtherAssetsAndLiabilitiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetBackedSecuritiesMember" xlink:label="AssetBackedSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_AssetBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Asset-Backed Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetBackedSecuritiesMember" xlink:to="label_AssetBackedSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USTreasurySecuritiesMember" xlink:label="USTreasurySecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_USTreasurySecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">US Treasury Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USTreasurySecuritiesMember" xlink:to="label_USTreasurySecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_CommercialMortgageBackedSecuritiesMember" xlink:label="CommercialMortgageBackedSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_CommercialMortgageBackedSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Commercial Mortgage-Backed Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CommercialMortgageBackedSecuritiesMember" xlink:to="label_CommercialMortgageBackedSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_USGovernmentCorporationsAndAgenciesSecuritiesMember" xlink:label="USGovernmentCorporationsAndAgenciesSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentCorporationsAndAgenciesSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">US Government Corporations and Agencies Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentCorporationsAndAgenciesSecuritiesMember" xlink:to="label_USGovernmentCorporationsAndAgenciesSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedShortMember" xlink:label="USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesMortgageBackedShortMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Mortgage Backed Short [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesMortgageBackedShortMember" xlink:to="label_USGovernmentAgenciesMortgageBackedShortMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MunicipalSecuritiesMember" xlink:label="MunicipalSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_MunicipalSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Municipal Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MunicipalSecuritiesMember" xlink:to="label_MunicipalSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesCollateralizedMunicipalBackedMember" xlink:label="USGovernmentAgenciesCollateralizedMunicipalBackedMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesCollateralizedMunicipalBackedMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Collateralized Municipal Backed [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesCollateralizedMunicipalBackedMember" xlink:to="label_USGovernmentAgenciesCollateralizedMunicipalBackedMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_ForeignGovernmentalMember" xlink:label="ForeignGovernmentalMember"/>
					<link:label xlink:type="resource" xlink:label="label_ForeignGovernmentalMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Foreign Governmental [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ForeignGovernmentalMember" xlink:to="label_ForeignGovernmentalMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MortgageSecuritiesMember" xlink:label="MortgageSecuritiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_MortgageSecuritiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Mortgage Securities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MortgageSecuritiesMember" xlink:to="label_MortgageSecuritiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompaniesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Companies [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompaniesMember" xlink:to="label_InvestmentCompaniesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_CorporateBondsAndNotesMember" xlink:label="CorporateBondsAndNotesMember"/>
					<link:label xlink:type="resource" xlink:label="label_CorporateBondsAndNotesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Corporate Bonds and Notes [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CorporateBondsAndNotesMember" xlink:to="label_CorporateBondsAndNotesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_USGovernmentAgenciesMortgageBackedLongMember" xlink:label="USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:label xlink:type="resource" xlink:label="label_USGovernmentAgenciesMortgageBackedLongMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">U S Government Agencies Mortgage Backed Long [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="USGovernmentAgenciesMortgageBackedLongMember" xlink:to="label_USGovernmentAgenciesMortgageBackedLongMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:label xlink:type="resource" xlink:label="label_AlphabetIncClAMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Alphabet Inc Cl A [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AlphabetIncClAMember" xlink:to="label_AlphabetIncClAMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:label xlink:type="resource" xlink:label="label_AlphabetIncClCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Alphabet Inc Cl C [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AlphabetIncClCMember" xlink:to="label_AlphabetIncClCMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:label xlink:type="resource" xlink:label="label_MetaPlatformsIncClAMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Meta Platforms Inc Cl A [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MetaPlatformsIncClAMember" xlink:to="label_MetaPlatformsIncClAMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:label xlink:type="resource" xlink:label="label_BerkshireHathawayIncClBMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Berkshire Hathaway Inc Cl B [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BerkshireHathawayIncClBMember" xlink:to="label_BerkshireHathawayIncClBMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_AppleIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Apple Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AppleIncMember" xlink:to="label_AppleIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_MicrosoftCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Microsoft Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MicrosoftCorpMember" xlink:to="label_MicrosoftCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_NVIDIACorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NVIDIA Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NVIDIACorpMember" xlink:to="label_NVIDIACorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_AmazonComIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Amazon com Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AmazonComIncMember" xlink:to="label_AmazonComIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_BroadcomIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Broadcom Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BroadcomIncMember" xlink:to="label_BroadcomIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_TeslaIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Tesla Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TeslaIncMember" xlink:to="label_TeslaIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000765Member" xlink:label="C000000765Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000765Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000765 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000765Member" xlink:to="label_C000000765Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000000765Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Investor Shares</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000765Member" xlink:to="label_C000000765Member_2"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000766Member" xlink:label="C000000766Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000766Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000766 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000766Member" xlink:to="label_C000000766Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000000766Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Class I</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000766Member" xlink:to="label_C000000766Member_2"/>
					<link:loc xlink:type="locator" xlink:href="#bmifivi_C000000734Member" xlink:label="C000000734Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000734Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000734 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000734Member" xlink:to="label_C000000734Member"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="InvestmentTypeAxis"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Type [Axis]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentTypeAxis" xlink:to="label_InvestmentTypeAxis" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNet" xlink:label="AssetsNet"/>
					<link:label xlink:type="resource" xlink:label="label_AssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Assets</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetsNet" xlink:to="label_AssetsNet" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyPortfolioTurnover" xlink:label="InvestmentCompanyPortfolioTurnover"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Company Portfolio Turnover</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompanyPortfolioTurnover" xlink:to="label_InvestmentCompanyPortfolioTurnover" priority="1"/>                
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_NoTradingSymbolFlag" xlink:label="dei_NoTradingSymbolFlag"/>
					<link:label xlink:type="resource" xlink:label="label_NoTradingSymbolFlag" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">No Trading Symbol Flag</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_NoTradingSymbolFlag" xlink:to="label_NoTradingSymbolFlag" priority="1"/>		
				</link:labelLink>
			</link:linkbase>
		</appinfo>
	</annotation>   
	<element name="InvestmentCompaniesSectorMember" id="bmifivi_InvestmentCompaniesSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ConsumerNonCyclicalMember" id="bmifivi_ConsumerNonCyclicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NetOtherAssetsAndLiabilitiesSectorMember" id="bmifivi_NetOtherAssetsAndLiabilitiesSectorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ConsumerCyclicalMember" id="bmifivi_ConsumerCyclicalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NetOtherAssetsAndLiabilitiesMember" id="bmifivi_NetOtherAssetsAndLiabilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesMortgageBackedShortMember" id="bmifivi_USGovernmentAgenciesMortgageBackedShortMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MunicipalSecuritiesMember" id="bmifivi_MunicipalSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesCollateralizedMunicipalBackedMember" id="bmifivi_USGovernmentAgenciesCollateralizedMunicipalBackedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ForeignGovernmentalMember" id="bmifivi_ForeignGovernmentalMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MortgageSecuritiesMember" id="bmifivi_MortgageSecuritiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="InvestmentCompaniesMember" id="bmifivi_InvestmentCompaniesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CorporateBondsAndNotesMember" id="bmifivi_CorporateBondsAndNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="USGovernmentAgenciesMortgageBackedLongMember" id="bmifivi_USGovernmentAgenciesMortgageBackedLongMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AlphabetIncClAMember" id="bmifivi_AlphabetIncClAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AlphabetIncClCMember" id="bmifivi_AlphabetIncClCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MetaPlatformsIncClAMember" id="bmifivi_MetaPlatformsIncClAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BerkshireHathawayIncClBMember" id="bmifivi_BerkshireHathawayIncClBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AppleIncMember" id="bmifivi_AppleIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MicrosoftCorpMember" id="bmifivi_MicrosoftCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NVIDIACorpMember" id="bmifivi_NVIDIACorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AmazonComIncMember" id="bmifivi_AmazonComIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BroadcomIncMember" id="bmifivi_BroadcomIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="TeslaIncMember" id="bmifivi_TeslaIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000765Member" id="bmifivi_C000000765Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000766Member" id="bmifivi_C000000766Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000734Member" id="bmifivi_C000000734Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
</schema>
