Nuprl Lemma : locknd-spread_wf
∀[T:i:Id ─→ k:{k:Knd| ↑hasloc(k;i)} ─→ Type]. ∀[P:i:Id ─→ k:{k:Knd| ↑hasloc(k;i)} ─→ T[i;k]]. ∀[ik:LocKnd].
(let i,k:LocKnd = ik in P[i;k] ∈ T[fst(ik);snd(ik)])
Proof
Definitions occuring in Statement :
locknd-spread: let i,k:LocKnd = ik in P[i; k],
LocKnd: LocKnd,
hasloc: hasloc(k;i),
Knd: Knd,
Id: Id,
assert: ↑b,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
pi1: fst(t),
pi2: snd(t),
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
assert_wf,
hasloc_wf,
set_wf,
Knd_wf,
Id_wf
\mforall{}[T:i:Id {}\mrightarrow{} k:\{k:Knd| \muparrow{}hasloc(k;i)\} {}\mrightarrow{} Type]. \mforall{}[P:i:Id {}\mrightarrow{} k:\{k:Knd| \muparrow{}hasloc(k;i)\} {}\mrightarrow{} T[i;k]].
\mforall{}[ik:LocKnd].
(let i,k:LocKnd = ik in P[i;k] \mmember{} T[fst(ik);snd(ik)])
Date html generated:
2015_07_17-AM-09_14_23
Last ObjectModification:
2015_01_28-AM-07_54_57
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