Nuprl Lemma : es-pred-locl-implies-le
∀es:EO. ∀e1,e2:E. ((¬↑first(e1)) ⇒ (pred(e1) <loc e2) ⇒ e1 ≤loc e2 )
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,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q
Lemmas :
es-locl-trichotomy,
es-loc-pred,
es-pred-locl,
es-le_weakening,
es-le-self,
and_wf,
equal_wf,
es-E_wf,
es-le_wf,
es-pred_property,
es-causl_weakening,
es-locl_transitivity2,
es-pred_wf,
es-le_weakening_eq,
es-locl_irreflexivity,
es-causl_transitivity2,
es-causle_weakening,
es-causl_irreflexivity,
es-locl_wf,
not_wf,
assert_wf,
es-first_wf2
\mforall{}es:EO. \mforall{}e1,e2:E. ((\mneg{}\muparrow{}first(e1)) {}\mRightarrow{} (pred(e1) <loc e2) {}\mRightarrow{} e1 \mleq{}loc e2 )
Date html generated:
2015_07_17-AM-08_39_13
Last ObjectModification:
2015_01_27-PM-02_42_10
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