Nuprl 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)
Proof
Definitions occuring in Statement :
fpf-map: fpf-map(a,v.f[a; v];x),
fpf-domain: fpf-domain(f),
fpf: a:A fp-> B[a],
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
l_member_wf,
fpf-domain_wf,
subtype-fpf2,
top_wf,
subtype_top,
fpf_wf,
map-wf2
\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)
Date html generated:
2015_07_17-AM-11_10_23
Last ObjectModification:
2015_01_28-AM-07_44_36
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