Step
*
of Lemma
inv_image_ind
∀[A:Type]. ∀[r:A ⟶ A ⟶ ℙ]. ∀[B:Type].  ∀f:B ⟶ A. (WellFnd{i}(A;x,y.r[x;y]) 
⇒ WellFnd{i}(B;x,y.r[f x;f y]))
BY
{ Lemma `inv_image_ind_tp` }
Latex:
Latex:
\mforall{}[A:Type].  \mforall{}[r:A  {}\mrightarrow{}  A  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[B:Type].
    \mforall{}f:B  {}\mrightarrow{}  A.  (WellFnd\{i\}(A;x,y.r[x;y])  {}\mRightarrow{}  WellFnd\{i\}(B;x,y.r[f  x;f  y]))
By
Latex:
Lemma  `inv\_image\_ind\_tp`
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