Nuprl Lemma : test-es-first-reasoning
∀es:EO. ∀e1,e2:E. (e1 ≤loc e2 ⇒ (¬↑first(e1)) ⇒ (¬↑first(e2)))
Proof
Definitions occuring in Statement :
es-le: 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,
not: ¬A,
false: False,
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
btrue: tt,
and: P ∧ Q,
prop: ℙ
Latex:
\mforall{}es:EO. \mforall{}e1,e2:E. (e1 \mleq{}loc e2 {}\mRightarrow{} (\mneg{}\muparrow{}first(e1)) {}\mRightarrow{} (\mneg{}\muparrow{}first(e2)))
Date html generated:
2016_05_16-AM-10_36_47
Last ObjectModification:
2015_12_28-PM-09_13_49
Theory : new!event-ordering
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