Nuprl Lemma : es-first-le
∀es:EO. ∀e,e':E. (e ≤loc e' ) supposing ((loc(e) = loc(e') ∈ Id) and (↑first(e)))
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
all: ∀x:A. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}es:EO. \mforall{}e,e':E. (e \mleq{}loc e' ) supposing ((loc(e) = loc(e')) and (\muparrow{}first(e)))
Date html generated:
2016_05_16-AM-09_23_00
Last ObjectModification:
2015_12_28-PM-09_51_56
Theory : new!event-ordering
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