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
Lemmas :
cons_wf,
Id_wf,
nil_wf,
l_member_wf,
fpf_wf,
Knd_wf,
assert_wf,
hasloc_wf,
member_singleton,
subtype_base_sq,
atom2_subtype_base
\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:
2015_07_17-AM-11_55_21
Last ObjectModification:
2015_01_28-AM-00_42_22
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