Nuprl Lemma : es-first-at-unique
∀[es:EO]. ∀[i:Id]. ∀[P:{e:E| loc(e) = i ∈ Id} ─→ ℙ]. ∀[e1,e2:E].
(e1 = e2 ∈ E) supposing (e2 is first@ i s.t. e.P[e] and e1 is first@ i s.t. e.P[e])
Proof
Definitions occuring in Statement :
es-first-at: e is first@ i s.t. e.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],
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
equal: s = t ∈ T
Lemmas :
es-locl-total,
es-first-at_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[P:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}]. \mforall{}[e1,e2:E].
(e1 = e2) supposing (e2 is first@ i s.t. e.P[e] and e1 is first@ i s.t. e.P[e])
Date html generated:
2015_07_17-AM-08_50_15
Last ObjectModification:
2015_01_27-PM-02_26_00
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