Nuprl Lemma : es-decl-set-single_wf
∀[i:Id]. ∀[ds:x:Id fp-> Type]. ∀[da:k:{k:Knd| ↑hasloc(k;i)} fp-> Type]. (es-decl-set-single(i;ds;da) ∈ DeclSet)
Proof
Definitions occuring in Statement :
es-decl-set-single: es-decl-set-single(i;ds;da),
es-decl-set: DeclSet,
fpf: a:A fp-> B[a],
hasloc: hasloc(k;i),
Knd: Knd,
Id: Id,
assert: ↑b,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type
Definitions unfolded in proof :
es-decl-set-single: es-decl-set-single(i;ds;da),
es-decl-set: DeclSet,
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
uimplies: b supposing a,
Id: Id,
sq_type: SQType(T),
guard: {T}
Latex:
\mforall{}[i:Id]. \mforall{}[ds:x:Id fp-> Type]. \mforall{}[da:k:\{k:Knd| \muparrow{}hasloc(k;i)\} fp-> Type].
(es-decl-set-single(i;ds;da) \mmember{} DeclSet)
Date html generated:
2016_05_16-PM-00_49_59
Last ObjectModification:
2015_12_29-PM-01_40_33
Theory : event-ordering
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