Nuprl Lemma : lnk-decl-dom
∀[l:IdLnk]. ∀[dt:tg:Id fp-> Type]. ∀[tg:Id]. (rcv(l,tg) ∈ dom(lnk-decl(l;dt)) ~ tg ∈ dom(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-deq: IdDeq,
Id: Id,
uall: ∀[x:A]. B[x],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fpf: a:A fp-> B[a],
fpf-dom: x ∈ dom(f),
lnk-decl: lnk-decl(l;dt),
pi1: fst(t),
uimplies: b supposing a,
sq_type: SQType(T),
all: ∀x:A. B[x],
implies: P ⇒ Q,
guard: {T},
so_lambda: λ2x.t[x],
so_apply: x[s],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
exists: ∃x:A. B[x],
prop: ℙ,
Id: Id
Latex:
\mforall{}[l:IdLnk]. \mforall{}[dt:tg:Id fp-> Type]. \mforall{}[tg:Id]. (rcv(l,tg) \mmember{} dom(lnk-decl(l;dt)) \msim{} tg \mmember{} dom(dt))
Date html generated:
2016_05_16-AM-11_34_49
Last ObjectModification:
2015_12_29-AM-09_30_49
Theory : event-ordering
Home
Index