Nuprl Lemma : assert-es-locless
∀es:EO. ∀x,y:es-base-E(es). ↑es-locless(es;x;y) ⇐⇒ (x < y) supposing loc(x) = loc(y) ∈ Id
Proof
Definitions occuring in Statement :
es-locless: es-locless(es;e1;e2),
es-causl: (e < e'),
es-loc: loc(e),
es-base-E: es-base-E(es),
event_ordering: EO,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
equal: s = t ∈ T
Lemmas :
es-loc-wf-base,
event_ordering_wf,
es-locless-wf-base,
es-causl-wf-base,
assert_wf,
assert_witness,
equal_wf,
Id_wf,
es-base-E_wf,
es-locless-property
\mforall{}es:EO. \mforall{}x,y:es-base-E(es). \muparrow{}es-locless(es;x;y) \mLeftarrow{}{}\mRightarrow{} (x < y) supposing loc(x) = loc(y)
Date html generated:
2015_07_17-AM-08_34_28
Last ObjectModification:
2015_01_27-PM-02_59_15
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