Step
*
of Lemma
pi-rank-pi-simple-subst
∀[P:pi_term()]. ∀[t,x:Name].  (pi-rank(pi-simple-subst(t;x;P)) = pi-rank(P) ∈ ℤ)
BY
{ (Auto THEN Unfold `pi-simple-subst` 0 THEN BLemma `pi-rank-pi-simple-subst-aux` THEN Auto) }
Latex:
Latex:
\mforall{}[P:pi\_term()].  \mforall{}[t,x:Name].    (pi-rank(pi-simple-subst(t;x;P))  =  pi-rank(P))
By
Latex:
(Auto  THEN  Unfold  `pi-simple-subst`  0  THEN  BLemma  `pi-rank-pi-simple-subst-aux`  THEN  Auto)
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