Nuprl Lemma : assert-has-src
∀[i:Id]. ∀[k:Knd]. uiff(↑has-src(i;k);(↑isrcv(k)) c∧ (source(lnk(k)) = i ∈ Id))
Proof
Definitions occuring in Statement :
has-src: has-src(i;k),
lsrc: source(l),
lnk: lnk(k),
isrcv: isrcv(k),
Knd: Knd,
Id: Id,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
cand: A c∧ B,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
cand: A c∧ B,
implies: P ⇒ Q,
prop: ℙ,
Knd: Knd,
has-src: has-src(i;k),
isrcv: isrcv(k),
isl: isl(x),
band: p ∧b q,
ifthenelse: if b then t else f fi ,
btrue: tt,
assert: ↑b,
true: True,
bfalse: ff,
false: False,
lnk: lnk(k),
outl: outl(x),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
top: Top,
rev_uimplies: rev_uimplies(P;Q)
Latex:
\mforall{}[i:Id]. \mforall{}[k:Knd]. uiff(\muparrow{}has-src(i;k);(\muparrow{}isrcv(k)) c\mwedge{} (source(lnk(k)) = i))
Date html generated:
2016_05_16-AM-10_59_58
Last ObjectModification:
2015_12_29-AM-09_10_27
Theory : event-ordering
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