Step * of Lemma equiv-discrete-type

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A,B:Type. ∀f:A ⟶ B.  (Bij(A;B;f)  (∀X:j⊢{X ⊢ _:Equiv(discr(A);discr(B))}))
BY
(Auto
   THEN (FLemma `biject-inverse` [-2] THENA Auto)
   THEN ExRepD
   THEN UseWitness ⌜bijection-equiv(X;A;B;f;g)⌝⋅
   THEN Auto) }


Latex:


Latex:
No  Annotations
\mforall{}A,B:Type.  \mforall{}f:A  {}\mrightarrow{}  B.    (Bij(A;B;f)  {}\mRightarrow{}  (\mforall{}X:j\mvdash{}.  \{X  \mvdash{}  \_:Equiv(discr(A);discr(B))\}))


By


Latex:
(Auto
  THEN  (FLemma  `biject-inverse`  [-2]  THENA  Auto)
  THEN  ExRepD
  THEN  UseWitness  \mkleeneopen{}bijection-equiv(X;A;B;f;g)\mkleeneclose{}\mcdot{}
  THEN  Auto)




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