Nuprl Lemma : existse-ge_wf
∀[es:EO]. ∀[e:E]. ∀[P:{e':E| loc(e') = loc(e) ∈ Id} ─→ ℙ]. (∃e'≥e.P[e'] ∈ ℙ)
Proof
Definitions occuring in Statement :
existse-ge: ∃e'≥e.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,
es-le_wf,
Id_wf,
es-loc_wf,
and_wf,
equal_wf
\mforall{}[es:EO]. \mforall{}[e:E]. \mforall{}[P:\{e':E| loc(e') = loc(e)\} {}\mrightarrow{} \mBbbP{}]. (\mexists{}e'\mgeq{}e.P[e'] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-08_36_31
Last ObjectModification:
2015_01_27-PM-02_58_17
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