Nuprl Lemma : es-decl-set-ds_wf
∀[dd:DeclSet]. ∀[i:Id]. ds(dd;i) ∈ x:Id fp-> Type supposing (i ∈ |dd|)
Proof
Definitions occuring in Statement :
es-decl-set-ds: ds(dd;i),
es-decl-set-domain: |dd|,
es-decl-set: DeclSet,
fpf: a:A fp-> B[a],
Id: Id,
l_member: (x ∈ l),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
es-decl-set: DeclSet,
es-decl-set-domain: |dd|,
pi1: fst(t),
es-decl-set-ds: ds(dd;i),
pi2: snd(t),
prop: ℙ
Latex:
\mforall{}[dd:DeclSet]. \mforall{}[i:Id]. ds(dd;i) \mmember{} x:Id fp-> Type supposing (i \mmember{} |dd|)
Date html generated:
2016_05_16-PM-00_50_36
Last ObjectModification:
2015_12_29-PM-01_39_53
Theory : event-ordering
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