Nuprl Lemma : last-solution_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[d:a:E ─→ Dec(P[a])]. (last-solution(es;P;d) ∈ E ─→ (E + Top))
Proof
Definitions occuring in Statement :
last-solution: last-solution(es;P;d),
es-E: E,
event_ordering: EO,
decidable: Dec(P),
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
union: left + right
Lemmas :
decide_wf,
top_wf,
all_wf,
uall_wf,
Id_wf,
es-loc_wf,
decidable_wf,
or_wf,
alle-le_wf,
not_wf,
exists_wf,
es-le_wf,
es-le-loc,
es-locl_wf,
subtype_rel_dep_function,
subtype_rel_self,
set_wf,
subtype_rel_sum,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[d:a:E {}\mrightarrow{} Dec(P[a])]. (last-solution(es;P;d) \mmember{} E {}\mrightarrow{} (E + Top))
Date html generated:
2015_07_17-AM-08_51_01
Last ObjectModification:
2015_01_27-PM-01_20_08
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