Nuprl Lemma : es-init-locl
∀es:EO. ∀e:E. ((¬↑first(e)) ⇒ (es-init(es;e) <loc e))
Proof
Definitions occuring in Statement :
es-init: es-init(es;e),
es-locl: (e <loc e'),
es-first: first(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
true: True,
es-le: e ≤loc e' ,
or: P ∨ Q,
uall: ∀[x:A]. B[x],
uiff: uiff(P;Q),
uimplies: b supposing a,
not: ¬A,
false: False,
prop: ℙ
Latex:
\mforall{}es:EO. \mforall{}e:E. ((\mneg{}\muparrow{}first(e)) {}\mRightarrow{} (es-init(es;e) <loc e))
Date html generated:
2016_05_16-AM-09_40_15
Last ObjectModification:
2015_12_28-PM-09_43_02
Theory : new!event-ordering
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