Nuprl Lemma : implies-es-le-pred
∀the_es:EO. ∀e,e':E. ((e <loc e') ⇒ e ≤loc pred(e') )
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
all: ∀x:A. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
uimplies: b supposing a,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
prop: ℙ,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}the$_{es}$:EO. \mforall{}e,e':E. ((e <loc e') {}\mRightarrow{} e \mleq{}loc pred(e') )
Date html generated:
2016_05_16-AM-09_23_30
Last ObjectModification:
2015_12_28-PM-09_51_17
Theory : new!event-ordering
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