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
Lemmas :
not_assert_elim,
es-first_wf2,
assert_elim,
and_wf,
equal_wf,
bool_wf,
ifthenelse_wf,
es-E_wf,
es-le-first,
btrue_neq_bfalse,
assert_wf,
not_wf,
es-le_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e1,e2:E. (e1 \mleq{}loc e2 {}\mRightarrow{} (\mneg{}\muparrow{}first(e1)) {}\mRightarrow{} (\mneg{}\muparrow{}first(e2)))
Date html generated:
2015_07_17-AM-09_10_35
Last ObjectModification:
2015_01_27-PM-00_45_10
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