Step * of Lemma cube-set-restriction-comp2

X:CubicalSet. ∀I,J,J2,K:Cname List. ∀f:name-morph(I;J). ∀g:name-morph(J;K). ∀a:X(I).
  g(f(a)) (f g)(a) ∈ X(K) supposing J2 ∈ (Cname List)
BY
(RWO "cube-set-restriction-comp<THEN Auto) }


Latex:


Latex:
\mforall{}X:CubicalSet.  \mforall{}I,J,J2,K:Cname  List.  \mforall{}f:name-morph(I;J).  \mforall{}g:name-morph(J;K).  \mforall{}a:X(I).
    g(f(a))  =  (f  o  g)(a)  supposing  J  =  J2


By


Latex:
(RWO  "cube-set-restriction-comp<"  0  THEN  Auto)




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