Nuprl Lemma : es-le-iff-causle
∀es:EO. ∀e,e':E. (e ≤loc e' ⇐⇒ e c≤ e' ∧ (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,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
member: t ∈ T,
guard: {T},
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
prop: ℙ,
rev_implies: P ⇐ Q
Latex:
\mforall{}es:EO. \mforall{}e,e':E. (e \mleq{}loc e' \mLeftarrow{}{}\mRightarrow{} e c\mleq{} e' \mwedge{} (loc(e) = loc(e')))
Date html generated:
2016_05_16-AM-09_22_55
Last ObjectModification:
2015_12_28-PM-09_52_07
Theory : new!event-ordering
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