Nuprl Lemma : iseg-es-before
∀es:EO. ∀e',e:E. ((e' <loc e) ⇒ ≤loc(e') ≤ before(e))
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-before: before(e),
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
iseg: l1 ≤ l2,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
exists: ∃x:A. B[x],
iseg: l1 ≤ l2,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
es-le-before: ≤loc(e),
top: Top
Latex:
\mforall{}es:EO. \mforall{}e',e:E. ((e' <loc e) {}\mRightarrow{} \mleq{}loc(e') \mleq{} before(e))
Date html generated:
2016_05_16-AM-09_37_31
Last ObjectModification:
2015_12_28-PM-09_44_00
Theory : new!event-ordering
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