Nuprl Lemma : es-p-locl_transitivity1
∀es:EO. ∀p:E ─→ (E + Top). ∀a,b,c:E. (a p< b ⇒ b p≤ c ⇒ a p< c)
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 :
or_wf,
es-p-locl_wf,
equal_wf,
es-E_wf,
top_wf,
event_ordering_wf,
es-p-locl_transitivity
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). \mforall{}a,b,c:E. (a p< b {}\mRightarrow{} b p\mleq{} c {}\mRightarrow{} a p< c)
Date html generated:
2015_07_17-AM-09_07_44
Last ObjectModification:
2015_01_27-PM-00_47_18
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