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Step * of Lemma csm-fibrant-comp

No Annotations
∀[X,Y,Z:j⊢]. ∀[g:Z j⟶ Y]. ∀[f:Y j⟶ X]. ∀[FT:FibrantType(X)].
  (csm-fibrant-type(X;Z;f o g;FT) = csm-fibrant-type(Y;Z;g;csm-fibrant-type(X;Y;f;FT)) ∈ FibrantType(Z))
BY
{ (Auto
   THEN D -1
   THEN RenameVar `cA' (-1)
   THEN RepUR ``csm-fibrant-type`` 0
   THEN Unfold `fibrant-type` 0
   THEN EqCD
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[X,Y,Z:j\mvdash{}].  \mforall{}[g:Z  j{}\mrightarrow{}  Y].  \mforall{}[f:Y  j{}\mrightarrow{}  X].  \mforall{}[FT:FibrantType(X)].
    (csm-fibrant-type(X;Z;f  o  g;FT)  =  csm-fibrant-type(Y;Z;g;csm-fibrant-type(X;Y;f;FT)))


By

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Latex:
(Auto
  THEN  D  -1
  THEN  RenameVar  `cA'  (-1)
  THEN  RepUR  ``csm-fibrant-type``  0
  THEN  Unfold  `fibrant-type`  0
  THEN  EqCD
  THEN  Auto)

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