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
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
same-thread: same-thread(es;p;e;e'),
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ,
uimplies: b supposing a
Latex:
\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:
2016_05_16-AM-10_33_20
Last ObjectModification:
2015_12_28-PM-09_17_03
Theory : new!event-ordering
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