Nuprl Lemma : lnk-decl-dom-not
∀[l:IdLnk]. ∀[dt:tg:Id fp-> Type]. ∀[a:Id]. (locl(a) ∈ dom(lnk-decl(l;dt)) ~ ff)
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,
locl: locl(a),
IdLnk: IdLnk,
Id: Id,
bfalse: ff,
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],
lnk-decl: lnk-decl(l;dt),
fpf-dom: x ∈ dom(f),
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,
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
exists: ∃x:A. B[x],
prop: ℙ,
rev_implies: P ⇐ Q,
not: ¬A,
false: False
Latex:
\mforall{}[l:IdLnk]. \mforall{}[dt:tg:Id fp-> Type]. \mforall{}[a:Id]. (locl(a) \mmember{} dom(lnk-decl(l;dt)) \msim{} ff)
Date html generated:
2016_05_16-AM-11_35_14
Last ObjectModification:
2015_12_29-AM-09_29_56
Theory : event-ordering
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