Nuprl Lemma : es-base-pred-less
∀es:EO. ∀e:es-base-E(es). ((¬↑(es-eq(es) pred1(e) e)) ⇒ (pred1(e) < e))
Proof
Definitions occuring in Statement :
es-eq: es-eq(es),
es-causl: (e < e'),
es-base-pred: pred1(e),
es-base-E: es-base-E(es),
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
apply: f a
Lemmas :
es-base-pred-properties,
es-locless-property,
es-base-pred_wf,
es-locless-wf-base,
decidable__assert,
assert_wf,
deq_wf,
es-base-E_wf,
assert-deq
\mforall{}es:EO. \mforall{}e:es-base-E(es). ((\mneg{}\muparrow{}(es-eq(es) pred1(e) e)) {}\mRightarrow{} (pred1(e) < e))
Date html generated:
2015_07_17-AM-08_34_59
Last ObjectModification:
2015_01_27-PM-02_59_43
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