Nuprl Lemma : es-le-pred
∀the_es:EO. ∀e,e':E. e ≤loc pred(e') ⇐⇒ (e <loc e') supposing ¬↑first(e')
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
not: ¬A
Definitions unfolded in proof :
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
not: ¬A,
implies: P ⇒ Q,
false: False,
uall: ∀[x:A]. B[x],
prop: ℙ,
iff: P ⇐⇒ Q,
and: P ∧ Q,
es-le: e ≤loc e' ,
or: P ∨ Q,
guard: {T},
rev_implies: P ⇐ Q
Latex:
\mforall{}the$_{es}$:EO. \mforall{}e,e':E. e \mleq{}loc pred(e') \mLeftarrow{}{}\mRightarrow{} (e <loc e') supposing \mneg{}\muparrow{}first(e')
Date html generated:
2016_05_16-AM-09_23_26
Last ObjectModification:
2015_12_28-PM-09_51_49
Theory : new!event-ordering
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