Nuprl Lemma : member-es-le-before
∀es:EO. ∀e,e':E. ((e' ∈ ≤loc(e)) ⇐⇒ e' ≤loc e )
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
l_member: (x ∈ l),
all: ∀x:A. B[x],
iff: P ⇐⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
es-le-before: ≤loc(e),
es-le: e ≤loc e' ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
rev_implies: P ⇐ Q,
or: P ∨ Q
Latex:
\mforall{}es:EO. \mforall{}e,e':E. ((e' \mmember{} \mleq{}loc(e)) \mLeftarrow{}{}\mRightarrow{} e' \mleq{}loc e )
Date html generated:
2016_05_16-AM-09_30_35
Last ObjectModification:
2015_12_28-PM-09_49_01
Theory : new!event-ordering
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