Nuprl Lemma : es-causl-if-pred
∀es:EO. ∀e1,e2:E. ((¬↑first(e2)) ⇒ (e1 < pred(e2)) ⇒ (e1 < e2))
Proof
Definitions occuring in Statement :
es-first: first(e),
es-pred: pred(e),
es-causl: (e < e'),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q
Lemmas :
es-pred-locl,
es-causl_transitivity2,
es-pred_wf,
es-causle_weakening_locl,
es-le_weakening,
es-causl_wf,
not_wf,
assert_wf,
es-first_wf2,
es-E_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e1,e2:E. ((\mneg{}\muparrow{}first(e2)) {}\mRightarrow{} (e1 < pred(e2)) {}\mRightarrow{} (e1 < e2))
Date html generated:
2015_07_17-AM-08_38_35
Last ObjectModification:
2015_01_27-PM-02_42_07
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