Nuprl Lemma : es-locl-irreflex-test
∀[es:EO]. ∀[e2,e:E]. ¬(e = e2 ∈ E) supposing (e <loc e2)
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
not: ¬A,
implies: P ⇒ Q,
false: False,
all: ∀x:A. B[x],
guard: {T},
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[e2,e:E]. \mneg{}(e = e2) supposing (e <loc e2)
Date html generated:
2016_05_16-AM-09_19_57
Last ObjectModification:
2015_12_28-PM-09_54_35
Theory : new!event-ordering
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