Step
*
of Lemma
functor-comp-assoc
No Annotations
∀[A,B,C,D:SmallCategory]. ∀[F:Functor(A;B)]. ∀[G:Functor(B;C)]. ∀[H:Functor(C;D)].
(functor-comp(F;functor-comp(G;H)) = functor-comp(functor-comp(F;G);H) ∈ Functor(A;D))
BY
{ TACTIC:(Auto THEN (BLemma `equal-functors` THENA Auto) THEN RepUR ``functor-comp`` 0 THEN Auto) }
Latex:
Latex:
No Annotations
\mforall{}[A,B,C,D:SmallCategory]. \mforall{}[F:Functor(A;B)]. \mforall{}[G:Functor(B;C)]. \mforall{}[H:Functor(C;D)].
(functor-comp(F;functor-comp(G;H)) = functor-comp(functor-comp(F;G);H))
By
Latex:
TACTIC:(Auto THEN (BLemma `equal-functors` THENA Auto) THEN RepUR ``functor-comp`` 0 THEN Auto)
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