Nuprl Lemma : kindcase_wf
∀[B:Type]. ∀[k:Knd]. ∀[f:Id ⟶ B]. ∀[g:IdLnk ⟶ Id ⟶ B]. (kindcase(k;a.f[a];l,t.g[l;t]) ∈ B)
Proof
Definitions occuring in Statement :
kindcase: kindcase(k;a.f[a];l,t.g[l; t]),
Knd: Knd,
IdLnk: IdLnk,
Id: Id,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
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,
Knd: Knd,
kindcase: kindcase(k;a.f[a];l,t.g[l; t]),
tagof: tag(k),
lnk: lnk(k),
actof: act(k),
islocal: islocal(k),
isl: isl(x),
outr: outr(x),
outl: outl(x),
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
btrue: tt,
pi1: fst(t),
pi2: snd(t),
bfalse: ff,
so_apply: x[s1;s2],
so_apply: x[s]
Latex:
\mforall{}[B:Type]. \mforall{}[k:Knd]. \mforall{}[f:Id {}\mrightarrow{} B]. \mforall{}[g:IdLnk {}\mrightarrow{} Id {}\mrightarrow{} B]. (kindcase(k;a.f[a];l,t.g[l;t]) \mmember{} B)
Date html generated:
2016_05_16-AM-10_55_23
Last ObjectModification:
2015_12_29-AM-09_08_21
Theory : event-ordering
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