Nuprl Lemma : lnk-decl-dom2
∀[l,l2:IdLnk]. ∀[dt:tg:Id fp-> Type]. ∀[tg:Id]. l2 = l ∈ IdLnk supposing ↑rcv(l2,tg) ∈ dom(lnk-decl(l;dt))
Proof
Definitions occuring in Statement :
lnk-decl: lnk-decl(l;dt),
fpf-dom: x ∈ dom(f),
fpf: a:A fp-> B[a],
Kind-deq: KindDeq,
rcv: rcv(l,tg),
IdLnk: IdLnk,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
fpf: a:A fp-> B[a],
lnk-decl: lnk-decl(l;dt),
fpf-dom: x ∈ dom(f),
pi1: fst(t),
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
exists: ∃x:A. B[x],
uimplies: b supposing a,
guard: {T},
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
top: Top
Latex:
\mforall{}[l,l2:IdLnk]. \mforall{}[dt:tg:Id fp-> Type]. \mforall{}[tg:Id]. l2 = l supposing \muparrow{}rcv(l2,tg) \mmember{} dom(lnk-decl(l;dt))
Date html generated:
2016_05_16-AM-11_35_20
Last ObjectModification:
2015_12_29-AM-09_30_41
Theory : event-ordering
Home
Index