Step
*
of Lemma
fpf-restrict-compatible2
∀[A:Type]. ∀[P:A ⟶ 𝔹]. ∀[eq:EqDecider(A)]. ∀[B:A ⟶ Type]. ∀[f,g:x:A fp-> B[x]].
f || fpf-restrict(g;P) supposing f || g
BY
{ xxx(Auto
THEN RepeatFor 2 (ParallelLast)
THEN Reduce 0
THEN Auto
THEN (FLemma `fpf-restrict-dom` [-1] THEN Auto)⋅)xxx }
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[P:A {}\mrightarrow{} \mBbbB{}]. \mforall{}[eq:EqDecider(A)]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f,g:x:A fp-> B[x]].
f || fpf-restrict(g;P) supposing f || g
By
Latex:
xxx(Auto
THEN RepeatFor 2 (ParallelLast)
THEN Reduce 0
THEN Auto
THEN (FLemma `fpf-restrict-dom` [-1] THEN Auto)\mcdot{})xxx
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