Nuprl Lemma : es-locl-pred
∀es:EO. ∀e1,e2:E. ((¬↑first(e1)) ⇒ (e1 <loc e2) ⇒ (pred(e1) <loc pred(e2)))
Proof
Definitions occuring in Statement :
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-pred_property,
assert_elim,
es-locl-first,
btrue_neq_bfalse,
es-pred-locl,
es-causl_weakening,
es-locl_transitivity2,
es-pred_wf,
es-first_wf2,
assert_wf,
es-le_weakening_eq,
es-causl_transitivity2,
es-causle_weakening,
es-locl_wf,
not_wf
\mforall{}es:EO. \mforall{}e1,e2:E. ((\mneg{}\muparrow{}first(e1)) {}\mRightarrow{} (e1 <loc e2) {}\mRightarrow{} (pred(e1) <loc pred(e2)))
Date html generated:
2015_07_17-AM-08_39_15
Last ObjectModification:
2015_01_27-PM-02_41_58
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