Nuprl Lemma : same-thread-do-apply
∀[es:EO]. ∀[p:E ─→ (E + Top)].
∀[e:E]. same-thread(es;p;e;do-apply(p;e)) supposing ↑can-apply(p;e) supposing causal-predecessor(es;p)
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,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
function: x:A ─→ B[x],
union: left + right,
do-apply: do-apply(f;x),
can-apply: can-apply(f;x)
Lemmas :
causal-pred-wellfounded,
assert_wf,
can-apply_wf,
es-E_wf,
subtype_rel_dep_function,
top_wf,
subtype_rel_sum,
causal-predecessor_wf,
event_ordering_wf,
final-iterate_wf,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
eqff_to_assert,
assert_of_bnot
\mforall{}[es:EO]. \mforall{}[p:E {}\mrightarrow{} (E + Top)].
\mforall{}[e:E]. same-thread(es;p;e;do-apply(p;e)) supposing \muparrow{}can-apply(p;e)
supposing causal-predecessor(es;p)
Date html generated:
2015_07_17-AM-09_08_40
Last ObjectModification:
2015_01_27-PM-00_46_12
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