Nuprl Lemma : mk_fpf_wf
∀[A:Type]. ∀[L:A List]. ∀[B:A ─→ Type]. ∀[f:a:{a:A| (a ∈ L)} ─→ B[a]]. (mk_fpf(L;f) ∈ a:A fp-> B[a])
Proof
Definitions occuring in Statement :
mk_fpf: mk_fpf(L;f),
fpf: a:A fp-> B[a],
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
l_member_wf,
list_wf
\mforall{}[A:Type]. \mforall{}[L:A List]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f:a:\{a:A| (a \mmember{} L)\} {}\mrightarrow{} B[a]]. (mk\_fpf(L;f) \mmember{} a:A fp-> B[a\000C])
Date html generated:
2015_07_17-AM-11_08_24
Last ObjectModification:
2015_01_28-AM-07_45_40
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