Step
*
of Lemma
fpf-map_wf
∀[A,C:Type]. ∀[B:A ─→ Type]. ∀[x:a:A fp-> B[a]]. ∀[f:a:{a:A| (a ∈ fpf-domain(x))} ─→ B[a] ─→ C].
(fpf-map(a,v.f[a;v];x) ∈ C List)
BY
{ (UniformUnivCD Auto THEN Repeat (MoveToConcl (-1))) }
1
∀A,C:Type. ∀B:A ─→ Type. ∀x:a:A fp-> B[a]. ∀f:a:{a:A| (a ∈ fpf-domain(x))} ─→ B[a] ─→ C.
(fpf-map(a,v.f[a;v];x) ∈ C List)
Latex:
\mforall{}[A,C:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[x:a:A fp-> B[a]]. \mforall{}[f:a:\{a:A| (a \mmember{} fpf-domain(x))\} {}\mrightarrow{} B[a] {}\mrightarrow{} C].
(fpf-map(a,v.f[a;v];x) \mmember{} C List)
By
(UniformUnivCD Auto THEN Repeat (MoveToConcl (-1)))
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