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Step * of Lemma trans-comp_wf

∀[C,D:SmallCategory]. ∀[F,G,H:Functor(C;D)]. ∀[t1:nat-trans(C;D;F;G)]. ∀[t2:nat-trans(C;D;G;H)].
  (t1 o t2 ∈ nat-trans(C;D;F;H))
BY
{ (ProveWfLemma
   THEN (RWW "cat-comp-assoc nat-trans-equation" 0 THENA Auto)
   THEN RWW "cat-comp-assoc< nat-trans-equation" 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[C,D:SmallCategory].  \mforall{}[F,G,H:Functor(C;D)].  \mforall{}[t1:nat-trans(C;D;F;G)].  \mforall{}[t2:nat-trans(C;D;G;H)].
    (t1  o  t2  \mmember{}  nat-trans(C;D;F;H))


By

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Latex:
(ProveWfLemma
  THEN  (RWW  "cat-comp-assoc  nat-trans-equation"  0  THENA  Auto)
  THEN  RWW  "cat-comp-assoc<  nat-trans-equation"  0
  THEN  Auto)

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