Nuprl Lemma : existse-between1_wf
∀[es:EO]. ∀[e1,e2:E]. ∀[P:{e:E| loc(e) = loc(e1) ∈ Id} ─→ ℙ]. ∃e∈[e1,e2).P[e] ∈ ℙ supposing loc(e2) = loc(e1) ∈ Id
Proof
Definitions occuring in Statement :
existse-between1: ∃e∈[e1,e2).P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
uimplies: b supposing a,
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-locl_wf,
es-le-loc,
Id_wf,
es-loc_wf,
equal_wf
\mforall{}[es:EO]. \mforall{}[e1,e2:E]. \mforall{}[P:\{e:E| loc(e) = loc(e1)\} {}\mrightarrow{} \mBbbP{}].
\mexists{}e\mmember{}[e1,e2).P[e] \mmember{} \mBbbP{} supposing loc(e2) = loc(e1)
Date html generated:
2015_07_17-AM-08_47_21
Last ObjectModification:
2015_01_27-PM-02_26_30
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