Nuprl Lemma : causal-weak-predecessor_wf
∀[es:EO]. ∀[p:E ─→ (E + Top)]. (causal-weak-predecessor(es;p) ∈ ℙ)
Proof
Definitions occuring in Statement :
causal-weak-predecessor: causal-weak-predecessor(es;p)
,
es-E: E
,
event_ordering: EO
,
uall: ∀[x:A]. B[x]
,
top: Top
,
prop: ℙ
,
member: t ∈ T
,
function: x:A ─→ B[x]
,
union: left + right
Lemmas :
all_wf,
assert_wf,
can-apply_wf,
subtype_rel_dep_function,
top_wf,
subtype_rel_sum,
es-causle_wf,
do-apply_wf,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[p:E {}\mrightarrow{} (E + Top)]. (causal-weak-predecessor(es;p) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_07_00
Last ObjectModification:
2015_01_27-PM-00_47_51
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