Nuprl Lemma : decidable__same-thread
∀es:EO. ∀p:E ─→ (E + Top). (causal-predecessor(es;p) ⇒ (∀e,e':E. Dec(same-thread(es;p;e;e'))))
Proof
Definitions occuring in Statement :
same-thread: same-thread(es;p;e;e'),
causal-predecessor: causal-predecessor(es;p),
es-E: E,
event_ordering: EO,
decidable: Dec(P),
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
union: left + right
Lemmas :
es-E_wf,
causal-predecessor_wf,
top_wf,
event_ordering_wf,
causal-pred-wellfounded,
decidable__es-E-equal,
final-iterate_wf
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). (causal-predecessor(es;p) {}\mRightarrow{} (\mforall{}e,e':E. Dec(same-thread(es;p;e;e'))))
Date html generated:
2015_07_17-AM-09_08_57
Last ObjectModification:
2015_01_27-PM-00_46_07
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