Nuprl Lemma : locknd_functionality_isrcv
∀[i,j:Id]. ∀[k1,k2:Knd]. (locknd(i;k1) = locknd(j;k2) ∈ LocKnd) supposing ((k1 = k2 ∈ Knd) and (↑isrcv(k1)))
Proof
Definitions occuring in Statement :
locknd: locknd(i;k),
LocKnd: LocKnd,
isrcv: isrcv(k),
Knd: Knd,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
Knd: Knd,
so_lambda: λ2x.t[x],
so_apply: x[s],
IdLnk: IdLnk,
Id: Id,
all: ∀x:A. B[x],
sq_type: SQType(T),
implies: P ⇒ Q,
guard: {T},
prop: ℙ,
lnk: lnk(k),
rcv: rcv(l,tg),
locknd: locknd(i;k),
kindcase: kindcase(k;a.f[a];l,t.g[l; t]),
islocal: islocal(k),
isl: isl(x),
outl: outl(x),
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
btrue: tt,
pi1: fst(t),
bfalse: ff,
LocKnd: LocKnd,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
squash: ↓T,
true: True
Latex:
\mforall{}[i,j:Id]. \mforall{}[k1,k2:Knd]. (locknd(i;k1) = locknd(j;k2)) supposing ((k1 = k2) and (\muparrow{}isrcv(k1)))
Date html generated:
2016_05_16-AM-11_00_59
Last ObjectModification:
2016_01_17-PM-03_47_27
Theory : event-ordering
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