Step
*
1
2
1
of Lemma
cubical-nerve_wf
1. X : SmallCategory
2. I : Cname List
3. J : Cname List
4. x : name-morph(I;J)
5. x1 : Functor(poset-cat(I);X)
⊢ functor-comp(poset-functor(I;J;x);x1) ∈ Functor(poset-cat(J);X)
BY
{ (MemCD THEN Auto) }
Latex:
Latex:
1. X : SmallCategory
2. I : Cname List
3. J : Cname List
4. x : name-morph(I;J)
5. x1 : Functor(poset-cat(I);X)
\mvdash{} functor-comp(poset-functor(I;J;x);x1) \mmember{} Functor(poset-cat(J);X)
By
Latex:
(MemCD THEN Auto)
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