Nuprl Lemma : eo-forward-not-first2
∀[Info:Type]. ∀eo:EO+(Info). ∀e:E. ∀e':{e':E| e' ≤loc e } . uiff(¬↑first(e);(e' <loc e))
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-first: first(e),
es-E: E,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
not: ¬A,
set: {x:A| B[x]} ,
universe: Type
Lemmas :
not_wf,
equal_wf,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
es-locl_wf,
eo-forward-first2,
assert_wf,
es-first_wf2,
eo-forward_wf,
member-eo-forward-E,
Id_wf,
es-loc_wf,
uiff_wf,
set_wf,
es-E_wf,
event-ordering+_subtype,
es-le_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}eo:EO+(Info). \mforall{}e:E. \mforall{}e':\{e':E| e' \mleq{}loc e \} . uiff(\mneg{}\muparrow{}first(e);(e' <loc e))
Date html generated:
2015_07_17-PM-00_04_29
Last ObjectModification:
2015_01_28-AM-00_13_47
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