Nuprl Lemma : es-p-locl-test
∀es:EO. ∀p:E ─→ (E + Top). ∀a,b,c,d,e:E. (c p≤ d ⇒ d p≤ e ⇒ a p≤ b ⇒ b p< c ⇒ a p< e)
Proof
Definitions occuring in Statement :
es-p-le: e p≤ e',
es-p-locl: e p< e',
es-E: E,
event_ordering: EO,
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
union: left + right
Lemmas :
es-p-locl_transitivity2,
es-p-locl_transitivity1,
es-p-locl_wf,
es-p-le_wf,
es-E_wf,
top_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). \mforall{}a,b,c,d,e:E. (c p\mleq{} d {}\mRightarrow{} d p\mleq{} e {}\mRightarrow{} a p\mleq{} b {}\mRightarrow{} b p< c {}\mRightarrow{} a p< e)
Date html generated:
2015_07_17-AM-09_07_54
Last ObjectModification:
2015_01_27-PM-00_47_12
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