Nuprl Lemma : first-event-property
∀es:EO. ∀e:E. (first-event{i:l}(es;e) ≤loc e ∧ (↑first(first-event{i:l}(es;e))))
Proof
Definitions occuring in Statement :
first-event: first-event{i:l}(es;e),
es-le: e ≤loc e' ,
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
and: P ∧ Q
Definitions unfolded in proof :
first-event: first-event{i:l}(es;e),
all: ∀x:A. B[x],
and: P ∧ Q,
cand: A c∧ B,
member: t ∈ T,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
true: True,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}e:E. (first-event\{i:l\}(es;e) \mleq{}loc e \mwedge{} (\muparrow{}first(first-event\{i:l\}(es;e))))
Date html generated:
2016_05_16-AM-10_35_22
Last ObjectModification:
2015_12_28-PM-09_13_32
Theory : new!event-ordering
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