Nuprl Lemma : fpf-accum_wf
∀[A,C:Type]. ∀[B:A ─→ Type]. ∀[x:a:A fp-> B[a]]. ∀[y:C]. ∀[f:C ─→ a:A ─→ B[a] ─→ C].
(fpf-accum(z,a,v.f[z;a;v];y;x) ∈ C)
Proof
Definitions occuring in Statement :
fpf-accum: fpf-accum(z,a,v.f[z; a; v];y;x),
fpf: a:A fp-> B[a],
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2;s3],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
fpf_wf,
list-subtype,
list_accum_wf,
l_member_wf
\mforall{}[A,C:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[x:a:A fp-> B[a]]. \mforall{}[y:C]. \mforall{}[f:C {}\mrightarrow{} a:A {}\mrightarrow{} B[a] {}\mrightarrow{} C].
(fpf-accum(z,a,v.f[z;a;v];y;x) \mmember{} C)
Date html generated:
2015_07_17-AM-11_10_29
Last ObjectModification:
2015_01_28-AM-07_44_33
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