Nuprl Lemma : es-loc-pred
∀[the_es:EO]. ∀[e:E]. loc(pred(e)) = loc(e) ∈ Id supposing ¬↑first(e)
Proof
Definitions occuring in Statement :
es-first: first(e),
es-pred: pred(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: ↑b,
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,
all: ∀x:A. B[x],
es-E: E,
es-base-E: es-base-E(es),
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
prop: ℙ
Latex:
\mforall{}[the$_{es}$:EO]. \mforall{}[e:E]. loc(pred(e)) = loc(e) supposing \mneg{}\muparrow{}first(e)
Date html generated:
2016_05_16-AM-09_17_41
Last ObjectModification:
2015_12_28-PM-09_56_26
Theory : new!event-ordering
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