Nuprl Lemma : existse-between3_wf
∀[es:EO]. ∀[e1,e2:E]. ∀[P:{e:E| (loc(e) = loc(e1) ∈ Id) ∧ (¬↑first(e))} ─→ ℙ].
∃e∈(e1,e2].P[e] ∈ ℙ supposing loc(e2) = loc(e1) ∈ Id
Proof
Definitions occuring in Statement :
existse-between3: ∃e∈(e1,e2].P[e],
es-first: first(e),
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
not: ¬A,
and: P ∧ Q,
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
equal: s = t ∈ T
Lemmas :
exists_wf,
es-E_wf,
es-locl_wf,
es-le_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
assert_wf,
es-first_wf2,
Id_wf,
es-loc_wf,
not_wf,
equal_wf
\mforall{}[es:EO]. \mforall{}[e1,e2:E]. \mforall{}[P:\{e:E| (loc(e) = loc(e1)) \mwedge{} (\mneg{}\muparrow{}first(e))\} {}\mrightarrow{} \mBbbP{}].
\mexists{}e\mmember{}(e1,e2].P[e] \mmember{} \mBbbP{} supposing loc(e2) = loc(e1)
Date html generated:
2015_07_17-AM-08_48_13
Last ObjectModification:
2015_01_27-PM-02_25_56
Home
Index