Nuprl Lemma : member-eo-forward-E
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e,e':E]. e' ∈ E supposing (loc(e') = loc(e) ∈ Id) ⇒ e ≤loc e'
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
member: t ∈ T,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
prop: ℙ,
implies: P ⇒ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e,e':E]. e' \mmember{} E supposing (loc(e') = loc(e)) {}\mRightarrow{} e \mleq{}loc e'
Date html generated:
2016_05_16-PM-01_05_07
Last ObjectModification:
2015_12_29-PM-01_47_04
Theory : event-ordering
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