Nuprl Lemma : causal-predecessor_wf
∀[es:EO]. ∀[p:E ─→ (E + Top)]. (causal-predecessor(es;p) ∈ ℙ)
Proof
Definitions occuring in Statement :
causal-predecessor: causal-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-causl_wf,
do-apply_wf,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[p:E {}\mrightarrow{} (E + Top)]. (causal-predecessor(es;p) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_06_46
Last ObjectModification:
2015_01_27-PM-00_48_08
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