Nuprl Lemma : es-pred-le
∀the_es:EO. ∀j:E. pred(j) ≤loc j supposing ¬↑first(j)
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
uimplies: b supposing a,
all: ∀x:A. B[x],
not: ¬A
Definitions unfolded in proof :
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
not: ¬A,
implies: P ⇒ Q,
false: False,
uall: ∀[x:A]. B[x],
prop: ℙ,
guard: {T}
Latex:
\mforall{}the$_{es}$:EO. \mforall{}j:E. pred(j) \mleq{}loc j supposing \mneg{}\muparrow{}first(j)
Date html generated:
2016_05_16-AM-09_21_53
Last ObjectModification:
2015_12_28-PM-09_52_57
Theory : new!event-ordering
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