Nuprl Lemma : eo-forward-E-member
∀[Info:Type]. ∀eo:EO+(Info). ∀e:E. ∀e':E. ((e' ∈ E) ∧ ((loc(e') = loc(e) ∈ Id) ⇒ e ≤loc e' ))
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
and: P ∧ Q,
member: t ∈ T,
universe: Type,
equal: s = t ∈ T
Lemmas :
eo-forward-E-subtype,
event-ordering+_subtype,
eo-forward-E,
sq_stable_from_decidable,
es-le_wf,
decidable__es-le,
equal_wf,
Id_wf,
es-loc_wf,
es-E_wf,
eo-forward_wf,
event-ordering+_wf,
assert_wf,
es-dom_wf,
bool_wf,
eqtt_to_assert,
bor_wf,
es-ble_wf,
bnot_wf,
eq_id_wf,
or_wf,
not_wf,
iff_transitivity,
iff_weakening_uiff,
assert_of_band,
assert_of_bor,
assert-es-ble,
assert_of_bnot,
assert-eq-id
\mforall{}[Info:Type]. \mforall{}eo:EO+(Info). \mforall{}e:E. \mforall{}e':E. ((e' \mmember{} E) \mwedge{} ((loc(e') = loc(e)) {}\mRightarrow{} e \mleq{}loc e' ))
Date html generated:
2015_07_17-PM-00_02_52
Last ObjectModification:
2015_01_28-AM-00_33_34
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