Nuprl Lemma : es-first-unique
∀[es:EO]. ∀[e,e':E]. (e = e' ∈ E) supposing ((loc(e) = loc(e') ∈ Id) and (↑first(e')) and (↑first(e)))
Proof
Definitions occuring in Statement :
es-first: first(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[e,e':E]. (e = e') supposing ((loc(e) = loc(e')) and (\muparrow{}first(e')) and (\muparrow{}first(e)))
Date html generated:
2016_05_16-AM-09_23_14
Last ObjectModification:
2015_12_28-PM-09_52_15
Theory : new!event-ordering
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