Nuprl Lemma : existse-at_wf
∀[es:EO]. ∀[i:Id]. ∀[P:{e:E| loc(e) = i ∈ Id} ─→ ℙ]. (∃e@i.P[e] ∈ ℙ)
Proof
Definitions occuring in Statement :
existse-at: ∃e@i.P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
equal: s = t ∈ T
Lemmas :
exists_wf,
es-E_wf,
Id_wf,
es-loc_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[P:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}]. (\mexists{}e@i.P[e] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-08_45_36
Last ObjectModification:
2015_01_27-PM-02_27_39
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