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Step * of Lemma mcompose_wf

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∀[X,Y,Z:Type].
  ∀dx:metric(X). ∀dy:metric(Y). ∀dz:metric(Z).  ∀[f:FUN(X ⟶ Y)]. ∀[g:FUN(Y ⟶ Z)].  (mcompose(f;g) ∈ FUN(X ⟶ Z))
BY
{ (InstLemma `compose-mfun` [] THEN Fold `mcompose` (-1) THEN Auto) }

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Latex:

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Latex:
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\mforall{}[X,Y,Z:Type].
    \mforall{}dx:metric(X).  \mforall{}dy:metric(Y).  \mforall{}dz:metric(Z).
        \mforall{}[f:FUN(X  {}\mrightarrow{}  Y)].  \mforall{}[g:FUN(Y  {}\mrightarrow{}  Z)].    (mcompose(f;g)  \mmember{}  FUN(X  {}\mrightarrow{}  Z))


By

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Latex:
(InstLemma  `compose-mfun`  []  THEN  Fold  `mcompose`  (-1)  THEN  Auto)

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