Nuprl Lemma : assert-es-ble-base
∀es:EO. ∀e,e':es-base-E(es). (↑e ≤loc e' ⇐⇒ ((loc(e) = loc(e') ∈ Id) ∧ (e < e')) ∨ (e = e' ∈ es-base-E(es)))
Proof
Definitions occuring in Statement :
es-ble: e ≤loc e',
es-causl: (e < e'),
es-loc: loc(e),
es-base-E: es-base-E(es),
event_ordering: EO,
Id: Id,
assert: ↑b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
or: P ∨ Q,
and: P ∧ Q,
equal: s = t ∈ T
Lemmas :
es-loc-wf-base,
es-causl-wf-base,
es-locless-wf-base,
es-eq-E-wf-base,
assert-es-eq-E-base,
es-base-E_wf,
or_wf,
assert_wf,
bool_wf,
eqtt_to_assert,
eq_id_wf,
iff_wf,
equal_wf,
Id_wf,
assert_of_bor,
bor_wf,
iff_transitivity,
iff_weakening_uiff,
assert_of_band,
assert-eq-id,
decidable__equal_Id,
assert-es-locless
\mforall{}es:EO. \mforall{}e,e':es-base-E(es). (\muparrow{}e \mleq{}loc e' \mLeftarrow{}{}\mRightarrow{} ((loc(e) = loc(e')) \mwedge{} (e < e')) \mvee{} (e = e'))
Date html generated:
2015_07_17-AM-08_40_03
Last ObjectModification:
2015_01_27-PM-02_41_37
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