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Revert "[add] funcel1; [propose] funcel2"
This reverts commit 5fb5705.
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set.mm

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@@ -835491,33 +835491,6 @@ have GLB (expanded version). (Contributed by Zhi Wang,
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GHZCGHZADEBCIJZKZDELZUAHZSTMFUBUDDEUANOBCUCPQR $.
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$}
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${
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funcel1.b $e |- B = ( Base ` D ) $.
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funcel1.f $e |- ( ph -> F ( D Func E ) G ) $.
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funcel1.x $e |- ( ph -> X e. B ) $.
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${
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funcel1.c $e |- C = ( Base ` E ) $.
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$( The object part of a functor maps into the base set.
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(Contributed by Zhi Wang,
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17-Sep-2025.) $)
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funcel1 $p |- ( ph -> ( F ` X ) e. C ) $=
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( funcf1 ffvelcdmd ) ABCHFABCDEFGILJMKN $.
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$}
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${
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funcel2.h $e |- H = ( Hom ` D ) $.
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funcel2.j $e |- J = ( Hom ` E ) $.
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funcel2.y $e |- ( ph -> Y e. B ) $.
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funcel2.m $e |- ( ph -> M e. ( X H Y ) ) $.
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$( The morphism part of a functor maps into the hom set.
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(Contributed by Zhi Wang,
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17-Sep-2025.) $)
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funcel2 $p |- ( ph -> ( ( X G Y ) ` M ) e. ( ( F ` X ) J ( F ` Y ) ) ) $=
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( ) ? $.
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$}
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$}
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${
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$d B x y z $. $d F x y z $. $d G x y z $. $d H x y z $. $d J x y z $.
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$( A utility theorem for proving equivalence of "is a functor".

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