Nuprl Lemma : es-causle-le
∀the_es:EO. ∀e,e':E. (e c≤ e' ⇒ e ≤loc e' supposing loc(e) = loc(e') ∈ Id)
Proof
Definitions occuring in Statement :
es-causle: e c≤ e',
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
es-le: e ≤loc e' ,
es-causle: e c≤ e',
all: ∀x:A. B[x],
implies: P ⇒ Q,
uimplies: b supposing a,
member: t ∈ T,
or: P ∨ Q,
es-locl: (e <loc e'),
and: P ∧ Q,
prop: ℙ,
uall: ∀[x:A]. B[x],
guard: {T}
Latex:
\mforall{}the$_{es}$:EO. \mforall{}e,e':E. (e c\mleq{} e' {}\mRightarrow{} e \mleq{}loc e' supposing loc(e) = loc(e'))
Date html generated:
2016_05_16-AM-09_21_46
Last ObjectModification:
2015_12_28-PM-09_53_00
Theory : new!event-ordering
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