Nuprl Lemma : the-first-event
∀es:EO. ∀e:E. ∃x:E. (x ≤loc e ∧ (↑first(x)))
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
and: P ∧ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
cand: A c∧ B,
prop: ℙ,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
true: True
Latex:
\mforall{}es:EO. \mforall{}e:E. \mexists{}x:E. (x \mleq{}loc e \mwedge{} (\muparrow{}first(x)))
Date html generated:
2016_05_16-AM-10_34_56
Last ObjectModification:
2015_12_28-PM-09_14_25
Theory : new!event-ordering
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