Nuprl Lemma : existse-le_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-le: ∃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,
es-le-loc,
Id_wf,
es-loc_wf
\mforall{}[es:EO]. \mforall{}[e':E]. \mforall{}[P:\{e:E| loc(e) = loc(e')\} {}\mrightarrow{} \mBbbP{}]. (\mexists{}e\mleq{}e'.P[e] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-08_45_47
Last ObjectModification:
2015_01_27-PM-02_27_21
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