Nuprl Lemma : es-first-implies
∀[the_es:EO]. ∀[j,e:E]. ¬(e <loc j) supposing ↑first(j)
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
and: P ∧ Q,
uimplies: b supposing a,
not: ¬A,
implies: P ⇒ Q,
false: False,
prop: ℙ
Latex:
\mforall{}[the$_{es}$:EO]. \mforall{}[j,e:E]. \mneg{}(e <loc j) supposing \muparrow{}first(j)
Date html generated:
2016_05_16-AM-09_22_48
Last ObjectModification:
2015_12_28-PM-09_52_10
Theory : new!event-ordering
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