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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fpf: a:A fp-> B[a],
fpf-accum: fpf-accum(z,a,v.f[z; a; v];y;x),
pi2: snd(t),
pi1: fst(t),
so_apply: x[s],
so_lambda: λ2x.t[x],
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2;s3],
so_apply: x[s1;s2]
Latex:
\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:
2016_05_16-AM-11_25_17
Last ObjectModification:
2015_12_29-AM-09_22_13
Theory : event-ordering
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