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/a> <a href="chap1_mj.html" >1 </a> <a href="chap2_mj.html" >2 </a> <a href="chap3_mj.html" >3 </a> <a href="chap4_mj.html" >4 </a> <a href="chap5_mj.html" >5 </a> <a href="chap6_mj.html" >6 </a> <a href="chap7_mj.html" >7 </a> <a href="chap8_mj.html" >8 </a> <a href="chap9_mj.html" >9 </a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap9_mj.html" >[Previous Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chapInd.html" >[MathJax off]</a></p>"X83A0356F839C696F" name="X83A0356F839C696F" ></a></p>div class="index" >code class="func" >Arrow</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X7863825F85197D30" >2 .3 -2 </a> <br />"chap3_mj.html#X83C847FC86AB508B" >3 .3 -2 </a> <br />"chap4_mj.html#X7CCBCD5385E55586" >4 .3 -4 br />code class="func" >AsGeneralizedMorphism</code >, for IsCapCategoryMorphism <a href="chap1_mj.html#X7F89465C80D5CB2F" >1 .5 -3 </a> <br />code class="func" >AsGeneralizedMorphismByCospan</code >, for IsCapCategoryMorphism <a href="chap2_mj.html#X79F31F9E80A5BFAD" >2 .5 -4 </a> <br />"chap2_mj.html#X7A094900868E02F1" >2 .6 -1 </a> <br />code class="func" >AsGeneralizedMorphismBySpan</code >, for IsCapCategoryMorphism <a href="chap3_mj.html#X79C48BB782BD799F" >3 .5 -4 </a> <br />code class="func" >AsGeneralizedMorphismByThreeArrows</code >, for IsCapCategoryMorphism <a href="chap4_mj.html#X7E0CF2A87AC08A8B" >4 .5 -4 </a> <br />code class="func" >AsSerreQuotientCategoryByCospansMorphism</code >, for IsCapCategory, IsCapCategoryMorphism <a href="chap7_mj.html#X83B53BAD85CDABE3" >7 .2 -7 </a> <br />code class="func" >AsSerreQuotientCategoryByCospansObject</code >, for IsCapCategory, IsCapCategoryObject <a href="chap7_mj.html#X7C696E9E83CA9250" >7 .2 -2 </a> <br />code class="func" >AsSerreQuotientCategoryBySpansMorphism</code >, for IsCapCategory, IsCapCategoryMorphism <a href="chap7_mj.html#X838E9D4D7BF0AA85" >7 .3 -7 </a> <br />code class="func" >AsSerreQuotientCategoryBySpansObject</code >, for IsCapCategory, IsCapCategoryObject <a href="chap7_mj.html#X82726E3C7A66996A" >7 .3 -2 </a> <br />code class="func" >AsSerreQuotientCategoryByThreeArrowsMorphism</code >, for IsCapCategory, IsCapCategoryMorphism <a href="chap7_mj.html#X7DFC91D07E9A187B" >7 .4 -7 </a> <br />code class="func" >AsSerreQuotientCategoryByThreeArrowsObject</code >, for IsCapCategory, IsCapCategoryObject <a href="chap7_mj.html#X80BDE2C9864D84B8" >7 .4 -2 </a> <br />code class="func" >AsSerreQuotientCategoryMorphism</code >, for IsCapCategory, IsCapCategoryMorphism <a href="chap7_mj.html#X7C2D68DA796082CE" >7 .1 -10 </a> <br />code class="func" >AsSerreQuotientCategoryObject</code >, for IsCapCategory, IsCapCategoryObject <a href="chap7_mj.html#X7B2E75C3828CFEE4" >7 .1 -4 </a> <br />code class="func" >AssociatedMorphism</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X8056D2E886060EB7" >1 .2 -10 </a> <br />code class="func" >CanonicalProjection</code >, for IsCapCategory <a href="chap7_mj.html#X7A1765BF783041DC" >7 .1 -17 </a> <br />code class="func" >CodefectProjection</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7E323705780A7472" >1 .2 -8 </a> <br />code class="func" >CodomainProjection</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X867950C684A50A6E" >1 .2 -6 </a> <br />code class="func" >CommonCoastriction</code >, for IsList <a href="chap4_mj.html#X7A50AC43855B33B1" >4 .4 -2 </a> <br />code class="func" >CommonRestriction</code >, for IsList <a href="chap1_mj.html#X7B8E3FBC82429136" >1 .3 -2 </a> <br />code class="func" >ConcatenationProduct</code >, for IsList <a href="chap1_mj.html#X83CB98F3783972DE" >1 .3 -3 </a> <br />code class="func" >DefectEmbedding</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7EF102897D38A0CE" >1 .2 -4 </a> <br />code class="func" >DomainAssociatedMorphismCodomainTriple</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7CF4DA3478101045" >1 .2 -11 </a> <br />code class="func" >DomainEmbedding</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7E72DC48842AFA58" >1 .2 -2 </a> <br />code class="func" >FullSubcategoryByMembershipFunction</code >, for IsCapCategory, IsFunction <a href="chap6_mj.html#X7C2C5BC07CABE97D" >6 .1 -1 </a> <br />code class="func" >FunctorFromCospansToSpans</code >, for IsCapCategory <a href="chap5_mj.html#X8092A53484B9D89E" >5 .1 -2 </a> <br />code class="func" >FunctorFromCospansToThreeArrows</code >, for IsCapCategory <a href="chap5_mj.html#X79C6FF647D725997" >5 .1 -1 </a> <br />code class="func" >FunctorFromSpansToCospans</code >, for IsCapCategory <a href="chap5_mj.html#X80EAF5547D5E3A08" >5 .2 -2 </a> <br />code class="func" >FunctorFromSpansToThreeArrows</code >, for IsCapCategory <a href="chap5_mj.html#X7A250CED7862BD61" >5 .2 -1 </a> <br />code class="func" >FunctorFromThreeArrowsToCospans</code >, for IsCapCategory <a href="chap5_mj.html#X805E300E7CBA3F18" >5 .3 -1 </a> <br />code class="func" >FunctorFromThreeArrowsToSpans</code >, for IsCapCategory <a href="chap5_mj.html#X7E0E745085802E80" >5 .3 -2 </a> <br />code class="func" >GeneralizedCoimageProjection</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7E0DAE747945216A" 1 .2 -9 </a> <br />code class="func" >GeneralizedCokernelProjection</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X80E5FD8C84054135" >1 .2 -7 </a> <br />code class="func" >GeneralizedImageEmbedding</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X86B43E60846202CA" >1 .2 -3 </a> <br />code class="func" >GeneralizedInverse</code >, for IsCapCategoryMorphism <a href="chap1_mj.html#X8180D14B85D8DDFD" >1 .2 -13 </a> <br />code class="func" >GeneralizedInverseByCospan</code >, for IsCapCategoryMorphism <a href="chap2_mj.html#X87E4921884F9F1FF" >2 .3 -6 </a> <br />code class="func" >GeneralizedInverseBySpan</code >, for IsCapCategoryMorphism <a href="chap3_mj.html#X800786037C19DEF5" >3 .3 -6 </a> <br />code class="func" >GeneralizedInverseByThreeArrows</code >, for IsCapCategoryMorphism <a href="chap4_mj.html#X78A8A55883C06AB1" >4 .3 -6 </a> <br />code class="func" >GeneralizedKernelEmbedding</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X834716A87EADE83E" >1 .2 -5 </a> <br />code class="func" >GeneralizedMorphism</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap1_mj.html#X7BCAEAEC78CE8093" >1 .5 -4 </a> <br />"chap1_mj.html#X87C5A2AC86D384BC" >1 .5 -5 </a> <br />code class="func" >GeneralizedMorphismByCospan</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap2_mj.html#X8313697F833CA064" >2 .5 -1 </a> <br />"chap2_mj.html#X865028F47CB5A9FA" >2 .5 -2 </a> <br />code class="func" >GeneralizedMorphismByCospansObject</code >, for IsCapCategoryObject <a href="chap2_mj.html#X81ADB9C17D822C05" >2 .5 -6 </a> <br />code class="func" >GeneralizedMorphismByCospanWithSourceAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap2_mj.html#X7B744FE28475F25B" >2 .5 -3 </a> <br />code class="func" >GeneralizedMorphismBySpan</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap3_mj.html#X83FA5A4C787261DB" >3 .5 -1 </a> <br />"chap3_mj.html#X7EAF87447D2A08EE" >3 .5 -2 </a> <br />code class="func" >GeneralizedMorphismBySpansObject</code >, for IsCapCategoryObject <a href="chap3_mj.html#X817694F38145FD9F" >3 .5 -6 </a> <br />code class="func" >GeneralizedMorphismBySpanWithRangeAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap3_mj.html#X79A8B50C7EB5ADE2" >3 .5 -3 </a> <br />code class="func" >GeneralizedMorphismByThreeArrows</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap4_mj.html#X8477D6E679E15474" >4 5 -1 </a> <br />code class="func" >GeneralizedMorphismByThreeArrowsObject</code >, for IsCapCategoryObject <a href="chap4_mj.html#X8165802A8625467E" >4 .5 -6 </a> <br />code class="func" >GeneralizedMorphismByThreeArrowsWithRangeAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap4_mj.html#X7F9E6B188755170A" >4 .5 -3 </a> <br />code class="func" >GeneralizedMorphismByThreeArrowsWithSourceAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap4_mj.html#X7D60D9F97A2F7D5F" >4 .5 -2 </a> <br />code class="func" >GeneralizedMorphismCategory</code >, for IsCapCategory <a href="chap1_mj.html#X8276ADE97D53B8F0" >1 .5 -1 </a> <br />code class="func" >GeneralizedMorphismCategoryByCospans</code >, for IsCapCategory <a href="chap2_mj.html#X879C3A4F82EC9C13" 2 .5 -5 </a> <br />code class="func" >GeneralizedMorphismCategoryBySpans</code >, for IsCapCategory <a href="chap3_mj.html#X812CBF7580098CCF" >3 .5 -5 </a> <br />code class="func" >GeneralizedMorphismCategoryByThreeArrows</code >, for IsCapCategory <a href="chap4_mj.html#X8296606484DDDF6C" >4 .5 -5 </a> <br />code class="func" >GeneralizedMorphismFromFactorToSubobject</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap1_mj.html#X82FE8F3E84432929" >1 .3 -1 </a> <br />code class="func" >GeneralizedMorphismFromFactorToSubobjectByCospan</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap2_mj.html#X7988FD538374DC5C" >2 .4 -1 </a> <br />code class="func" >GeneralizedMorphismFromFactorToSubobjectBySpan</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap3_mj.html#X7D3675B0866191EC" >3 .4 -1 </a> <br />code class="func" >GeneralizedMorphismFromFactorToSubobjectByThreeArrows</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap4_mj.html#X78C1A22D86943E97" >4 .4 -1 </a> <br />code class="func" >GeneralizedMorphismObject</code >, for IsCapCategoryObject <a href="chap1_mj.html#X846BEA5784436575" >1 .5 -2 </a> <br />code class="func" >GeneralizedMorphismWithRangeAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap1_mj.html#X7DC1AF448411DFCE" >1 .5 -6 </a> <br />code class="func" >GeneralizedMorphismWithSourceAid</code >, for IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap1_mj.html#X7D32834C7EA50379" >1 .5 -7 </a> <br />code class="func" >HasFullCodomain</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7A5A03577DF86A1F" >1 .4 -3 </a> <br />code class="func" >HasFullDomain</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X806C879182E335B6" >1 .4 -2 </a> <br />code class="func" >HasIdentitiesAsReversedArrows</code >, for IsGeneralizedMorphismByThreeArrows <a href="chap4_mj.html#X8247F41681D15233" >4 .2 -1 </a> <br />code class="func" >HasIdentityAsRangeAid</code >, for IsGeneralizedMorphismByThreeArrows <a href="chap4_mj.html#X81F0F4FA78F9F361" >4 .2 -3 </a> <br />code class="func" >HasIdentityAsReversedArrow</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X815D6FE986CC3F99" >2 .2 -1 </a> <br />"chap3_mj.html#X7A058F5C7F7116DB" >3 .2 -1 </a> <br />code class="func" >HasIdentityAsSourceAid</code >, for IsGeneralizedMorphismByThreeArrows <a href="chap4_mj.html#X8347A40179DBD909" >4 .2 -2 </a> <br />code class="func" >HonestRepresentative</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X8129D15C87A5642B" >1 .2 -12 </a> <br />code class="func" >IdempotentDefinedByFactorobject</code >, for IsCapCategoryMorphism <a href="chap1_mj.html#X7F3F851D7FD6BE60" >1 .2 -15 </a> <br />code class="func" >IdempotentDefinedByFactorobjectByCospan</code >, for IsCapCategoryMorphism <a href="chap2_mj.html#X8330AB9480BC933A" >2 .3 -8 </a> <br />code class="func" >IdempotentDefinedByFactorobjectBySpan</code >, for IsCapCategoryMorphism <a href="chap3_mj.html#X82D0B42E8413A5FE" >3 .3 -8 </a> <br />code class="func" >IdempotentDefinedByFactorobjectByThreeArrows</code >, for IsCapCategoryMorphism <a href="chap4_mj.html#X8217014B870B3EC2" >4 .3 -8 </a> <br />code class="func" >IdempotentDefinedBySubobject</code >, for IsCapCategoryMorphism <a href="chap1_mj.html#X87BA1A897A3019B0" 1 .2 -14 </a> <br />code class="func" >IdempotentDefinedBySubobjectByCospan</code >, for IsCapCategoryMorphism <a href="chap2_mj.html#X7CFE9A12793AF805" >2 .3 -7 </a> <br />code class="func" >IdempotentDefinedBySubobjectBySpan</code >, for IsCapCategoryMorphism <a href="chap3_mj.html#X7B8C00217DD3A64C" >3 .3 -7 </a> <br />code class="func" >IdempotentDefinedBySubobjectByThreeArrows</code >, for IsCapCategoryMorphism <a href="chap4_mj.html#X80E329707BAA3B29" >4 .3 -7 </a> <br />code class="func" >IsGeneralizedMorphism</code >, for IsCapCategoryMorphism <a href="chap1_mj.html#X805BE326803873AC" >1 .1 -3 </a> <br />code class="func" >IsGeneralizedMorphismByCospan</code >, for IsGeneralizedMorphism <a href="chap2_mj.html#X82D8F9C38330F81E" >2 .1 -3 </a> <br />code class="func" >IsGeneralizedMorphismBySpan</code >, for IsGeneralizedMorphism <a href="chap3_mj.html#X7A5BDCEE78549DFB" >3 .1 -3 </a> <br />code class="func" >IsGeneralizedMorphismByThreeArrows</code >, for IsGeneralizedMorphism <a href="chap4_mj.html#X87934BAA84C6E654" >4 .1 -3 </a> <br />code class="func" >IsGeneralizedMorphismCategory</code >, for IsCapCategory <a href="chap1_mj.html#X79F2D53F7B79450C" >1 .1 -1 </a> <br />code class="func" >IsGeneralizedMorphismCategoryByCospans</code >, for IsGeneralizedMorphismCategory <a href="chap2_mj.html#X8187BB8479575083" >2 .1 -1 </a> <br />code class="func" >IsGeneralizedMorphismCategoryByCospansObject</code >, for IsGeneralizedMorphismCategoryObject <a href="chap2_mj.html#X86C1877D7EC9F075" >2 .1 -2 </a> <br />code class="func" >IsGeneralizedMorphismCategoryBySpans</code >, for IsGeneralizedMorphismCategory <a href="chap3_mj.html#X7B3EA2C279A4F9E4" >3 .1 -1 </a> <br />code class="func" >IsGeneralizedMorphismCategoryBySpansObject</code >, for IsGeneralizedMorphismCategoryObject <a href="chap3_mj.html#X78F2B8E882ECF61E" >3 .1 -2 </a> <br />code class="func" >IsGeneralizedMorphismCategoryByThreeArrows</code >, for IsGeneralizedMorphismCategory <a href="chap4_mj.html#X869A7C2A85C2743A" >4 .1 -1 </a> <br />code class="func" >IsGeneralizedMorphismCategoryByThreeArrowsObject</code >, for IsGeneralizedMorphismCategoryObject <a href="chap4_mj.html#X7E861596801CA565" >4 .1 -2 </a> <br />code class="func" >IsGeneralizedMorphismCategoryObject</code >, for IsCapCategoryObject <a href="chap1_mj.html#X7BEE0C4D8324D332" >1 .1 -2 </a> <br />code class="func" >IsHonest</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X78B6216F7869E215" >1 .4 -1 </a> <br />code class="func" >IsSerreQuotientCategoryMorphism</code >, for IsCapCategoryMorphism <a href="chap7_mj.html#X82C2C3C27C0FC106" >7 .1 -2 </a> <br />code class="func" >IsSerreQuotientCategoryObject</code >, for IsCapCategoryObject <a href="chap7_mj.html#X7BC5B052783425A2" >7 .1 -1 </a> <br />code class="func" >IsSingleValued</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X7B025572785DACBA" >1 .4 -4 </a> <br />code class="func" >IsTotal</code >, for IsGeneralizedMorphism <a href="chap1_mj.html#X85E05A137F6C759A" >1 .4 -5 </a> <br />code class="func" >NormalizedCospan</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X7B636E0D7A9FA235" >2 .3 -9 </a> <br />code class="func" >NormalizedCospanTuple</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X7DCA5A8278F4C569" >2 .3 -4 </a> <br />code class="func" >NormalizedSpan</code >, for IsGeneralizedMorphismBySpan <a href="chap3_mj.html#X86499E0D83A9D090" >3 .3 -9 </a> <br />code class="func" >NormalizedSpanTuple</code >, for IsGeneralizedMorphismBySpan <a href="chap3_mj.html#X8082EEE27FB449E5" >3 .3 -4 </a> <br />code class="func" >PseudoInverse</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X7F4AC0FE847140A4" >2 .3 -5 </a> <br />"chap3_mj.html#X878EE24487756BD4" >3 .3 -5 </a> <br />"chap4_mj.html#X784C006B8525E205" >4 .3 -5 br />code class="func" >RangeAid</code >, for IsGeneralizedMorphismByThreeArrows <a href="chap4_mj.html#X87B0A0AF84F8AF7D" >4 .3 -3 </a> <br />code class="func" >ReversedArrow</code >, for IsGeneralizedMorphismByCospan <a href="chap2_mj.html#X871D3BBC7E6B544B" >2 .3 -3 </a> <br />"chap3_mj.html#X826CC0B57D6F7F3B" >3 .3 -3 </a> <br />code class="func" >SerreQuotientCategory</code >, for IsCapCategory, IsFunction, IsString <a href="chap7_mj.html#X8311C69E7FEEF417" >7 .1 -3 </a> <br />code class="func" >SerreQuotientCategoryByCospans</code >, for IsCapCategory, IsFunction, IsString <a href="chap7_mj.html#X7B0DFAB77891EB63" >7 .2 -1 </a> <br />code class="func" >SerreQuotientCategoryByCospansMorphism</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X8163B686820C8119" >7 .2 6 </a> <br />sm <a href="chap7_mj.html#X7B6DB3178122E617" >7 .2 -4 </a> <br />"chap7_mj.html#X7F1CBD4F82097FFE" >7 .2 -3 </a> <br />code class="func" >SerreQuotientCategoryByCospansMorphismWithSourceAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X84649E8381E40A5E" >7 .2 -5 </a> <br />code class="func" >SerreQuotientCategoryBySpans</code >, for IsCapCategory, IsFunction, IsString <a href="chap7_mj.html#X81B80C5882061F37" >7 .3 -1 </a> <br />code class="func" >SerreQuotientCategoryBySpansMorphism</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X85320AF0799B2ED6" >7 .3 -5 br />sm <a href="chap7_mj.html#X854E2C577EBC71A8" >7 .3 -4 </a> <br />"chap7_mj.html#X8540DCE084BB710F" >7 .3 -3 </a> <br />code class="func" >SerreQuotientCategoryBySpansMorphismWithRangeAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X7BF244A67D0A7199" >7 .3 -6 </a> <br />code class="func" >SerreQuotientCategoryByThreeArrows</code >, for IsCapCategory, IsFunction, IsString <a href="chap7_mj.html#X856C35F28411363D" >7 .4 -1 </a> <br />code class="func" >SerreQuotientCategoryByThreeArrowsMorphism</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X7AAB402C852E6030" >7 .4 -4 </a> <br />"chap7_mj.html#X7E798D6882E5DBB4" >7 .4 -3 </a> <br />code class="func" >SerreQuotientCategoryByThreeArrowsMorphismWithRangeAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X820FF6B88188DB68" >7 .4 -6 </a> <br />code class="func" >SerreQuotientCategoryByThreeArrowsMorphismWithSourceAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X8597A92278BC8D63" >7 .4 -5 </a> <br />code class="func" >SerreQuotientCategoryMorphism</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X7FF1277C81BAD87E" >7 .1 -7 </a> <br />sm <a href="chap7_mj.html#X7C93747782930A14" >7 .1 -6 </a> <br />"chap7_mj.html#X8228022A7EB4CB66" >7 .1 -5 </a> <br />code class="func" >SerreQuotientCategoryMorphismWithRangeAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X8461E2707FCF6EB0" >7 .1 -9 </a> <br />code class="func" >SerreQuotientCategoryMorphismWithSourceAid</code >, for IsCapCategory, IsCapCategoryMorphism, IsCapCategoryMorphism <a href="chap7_mj.html#X7BD12BC6873CB655" >7 .1 -8 </a> <br />code class="func" >SerreQuotientConversionFunctor</code >, for IsCapCategory, IsCapCategory <a href="chap8_mj.html#X873A67F482BA7BFD" >8 .1 -1 </a> <br />code class="func" >SourceAid</code >, for IsGeneralizedMorphismByThreeArrows <a href="chap4_mj.html#X7B17B7587A449B8E" >4 .3 -2 </a> <br />code class="func" >SubcategoryMembershipTestFunctionForSerreQuotient</code >, for IsCapCategory <a href="chap7_mj.html#X7F51A2A678518D91" >7 .1 -11 </a> <br />code class="func" >UnderlyingGeneralizedMorphism</code >, for IsSerreQuotientCategoryMorphism <a href="chap7_mj.html#X7E403ABA78261622" >7 .1 -16 </a> <br />code class="func" >UnderlyingGeneralizedMorphismCategory</code >, for IsCapCategory <a href="chap7_mj.html#X7B0FD44F7FA4F8C1" >7 .1 -13 </a> <br />code class="func" >UnderlyingGeneralizedObject</code >, for IsSerreQuotientCategoryObject <a href="chap7_mj.html#X86E915208420C01C" >7 .1 -14 </a> <br />code class="func" >UnderlyingHonestCategory</code >, for IsCapCategory <a href="chap1_mj.html#X8387D5C484A26089" >1 .2 -16 </a> <a href="chap7_mj.html#X8387D5C484A26089" >7 .1 -12 </a> <br />code class="func" >UnderlyingHonestObject</code >, for IsGeneralizedMorphismCategoryByCospansObject <a href="chap2_mj.html#X7D7E0AB87D8C6BE4" >2 .3 -1 </a> <br />"chap3_mj.html#X7BDCF7FD7EAE01C3" >3 .3 -1 </a> <br />"chap4_mj.html#X8028877F819A0DBF" >4 .3 -1 </a> <br />"chap1_mj.html#X78C35DEB7A844B1D" >1 .2 -1 </a> <br />"chap7_mj.html#X812EDC687898EEBF" >7 .1 -15 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