Nuprl Lemma : name-case_wf
∀[T:Type]. ∀[A:i:Id ─→ {k:Knd| ↑hasloc(k;i)} ─→ T]. ∀[B:Id ─→ Id ─→ T]. ∀[n:MaName].
(name-case(n;i,k.A[i;k];j,x.B[j;x]) ∈ T)
Proof
Definitions occuring in Statement :
name-case: name-case(n;i,k.A[i; k];j,x.B[j; x]),
MaName: MaName,
hasloc: hasloc(k;i),
Knd: Knd,
Id: Id,
assert: ↑b,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
locknd-spread_wf2,
assert_wf,
hasloc_wf,
Knd_wf,
MaName_wf,
Id_wf
\mforall{}[T:Type]. \mforall{}[A:i:Id {}\mrightarrow{} \{k:Knd| \muparrow{}hasloc(k;i)\} {}\mrightarrow{} T]. \mforall{}[B:Id {}\mrightarrow{} Id {}\mrightarrow{} T]. \mforall{}[n:MaName].
(name-case(n;i,k.A[i;k];j,x.B[j;x]) \mmember{} T)
Date html generated:
2015_07_17-AM-09_14_57
Last ObjectModification:
2015_01_28-AM-07_54_03
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