Nuprl Lemma : es-pred-locl
∀the_es:EO. ∀j:E. (pred(j) <loc j) supposing ¬↑first(j)
Proof
Definitions occuring in Statement :
es-locl: (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],
member: t ∈ T,
and: P ∧ Q,
uimplies: b supposing a,
es-locl: (e <loc e'),
es-E: E,
es-base-E: es-base-E(es),
uall: ∀[x:A]. B[x],
guard: {T},
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
es-causl: (e < e'),
squash: ↓T,
prop: ℙ
Latex:
\mforall{}the$_{es}$:EO. \mforall{}j:E. (pred(j) <loc j) supposing \mneg{}\muparrow{}first(j)
Date html generated:
2016_05_16-AM-09_21_49
Last ObjectModification:
2016_01_17-PM-01_30_25
Theory : new!event-ordering
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