Nuprl Lemma : eo-forward-pred
∀[Info:Type]. ∀[eo:EO+(Info)]. ∀[e:E]. ∀[e':E]. pred(e') = pred(e') ∈ E supposing ¬↑first(e')
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-first: first(e),
es-pred: pred(e),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type,
equal: s = t ∈ T
Lemmas :
es-pred_property,
not_wf,
assert_wf,
es-first_wf2,
eo-forward_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
assert-es-first,
eo-forward-E-subtype,
es-pred_wf,
eo-forward-loc,
eo-forward-causl,
member-eo-forward-E,
equal_wf,
Id_wf,
es-loc_wf,
iff_weakening_equal,
eo-forward-E-member,
and_wf,
member_wf,
es-loc-pred,
es-le_wf,
or_wf,
es-causl_wf,
es-le_transitivity,
es-le_weakening_eq,
es-causle-le,
es-causl_transitivity1,
es-causle_weakening_locl,
es-causle_weakening,
es-causl_transitivity2,
es-causl_irreflexivity
\mforall{}[Info:Type]. \mforall{}[eo:EO+(Info)]. \mforall{}[e:E]. \mforall{}[e':E]. pred(e') = pred(e') supposing \mneg{}\muparrow{}first(e')
Date html generated:
2015_07_17-PM-00_03_56
Last ObjectModification:
2015_02_04-PM-05_40_53
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