Nuprl Lemma : assert-es-first-locl
∀[es:EO]. ∀[e:E]. uiff(↑first(e);∀[e':E]. ¬(e' <loc e) supposing loc(e') = loc(e) ∈ Id)
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-first: first(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: ↑b,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
equal: s = t ∈ T
Lemmas :
es-locl_wf,
equal_wf,
Id_wf,
es-loc_wf,
uall_wf,
isect_wf,
not_wf,
es-causl_wf,
iff_weakening_uiff,
assert_wf,
es-first_wf2,
assert-es-first,
es-E_wf,
assert_witness,
uiff_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[e:E]. uiff(\muparrow{}first(e);\mforall{}[e':E]. \mneg{}(e' <loc e) supposing loc(e') = loc(e))
Date html generated:
2015_07_17-AM-09_10_39
Last ObjectModification:
2015_01_27-PM-00_48_03
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