Nuprl Lemma : implies-es-pred2
∀[es:EO]. ∀[e,e':E]. (e' = pred(e) ∈ E) supposing ((e' <loc e) and pred(e) ≤loc e' and (¬↑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,
uall: ∀[x:A]. B[x],
not: ¬A,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
and: P ∧ Q,
cand: A c∧ B,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
false: False,
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[e,e':E]. (e' = pred(e)) supposing ((e' <loc e) and pred(e) \mleq{}loc e' and (\mneg{}\muparrow{}first(e)))
Date html generated:
2016_05_16-AM-09_23_35
Last ObjectModification:
2015_12_28-PM-09_51_26
Theory : new!event-ordering
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