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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
es-le: e ≤loc e' ,
or: P ∨ Q,
not: ¬A,
implies: P ⇒ Q,
false: False,
es-locl: (e <loc e'),
es-causl: (e < e'),
squash: ↓T,
prop: ℙ,
subtype_rel: A ⊆r B,
guard: {T},
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\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:
2016_05_16-PM-01_09_00
Last ObjectModification:
2016_01_17-PM-07_56_14
Theory : event-ordering
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