Nuprl Lemma : es-interval-sorted-by
∀es:EO. ∀e1,e2:E. sorted-by(λe1,e2. (e1 <loc e2);[e1, e2])
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
sorted-by: sorted-by(R;L),
all: ∀x:A. B[x],
lambda: λx.A[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
l-ordered: l-ordered(T;x,y.R[x; y];L),
prop: ℙ
Latex:
\mforall{}es:EO. \mforall{}e1,e2:E. sorted-by(\mlambda{}e1,e2. (e1 <loc e2);[e1, e2])
Date html generated:
2016_05_16-AM-09_36_00
Last ObjectModification:
2015_12_28-PM-09_44_59
Theory : new!event-ordering
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