Step
*
of Lemma
homeomorphic_inversion
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∀[X,Y:Type]. ∀[dX:metric(X)]. ∀[dY:metric(Y)].  (homeomorphic(X;dX;Y;dY) 
⇒ homeomorphic(Y;dY;X;dX))
BY
{ (Auto THEN RenameVar `h' (-1) THEN UseWitness ⌜homeo-inv(h)⌝⋅ THEN Auto) }
Latex:
Latex:
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\mforall{}[X,Y:Type].  \mforall{}[dX:metric(X)].  \mforall{}[dY:metric(Y)].    (homeomorphic(X;dX;Y;dY)  {}\mRightarrow{}  homeomorphic(Y;dY;X;dX))
By
Latex:
(Auto  THEN  RenameVar  `h'  (-1)  THEN  UseWitness  \mkleeneopen{}homeo-inv(h)\mkleeneclose{}\mcdot{}  THEN  Auto)
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