Nuprl Lemma : es-first-at-since'_wf
∀[es:EO]. ∀[i:Id]. ∀[e':E]. ∀[P,R:{e:E| loc(e) = i ∈ Id} ─→ ℙ]. (es-first-at-since'(es;i;e';e.R[e];e.P[e]) ∈ ℙ)
Proof
Definitions occuring in Statement :
es-first-at-since': es-first-at-since'(es;i;e;e.R[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 :
es-loc_wf,
exists_wf,
es-locl_wf,
all_wf,
es-le_wf,
not_wf,
es-le-loc,
es-E_wf,
Id_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[i:Id]. \mforall{}[e':E]. \mforall{}[P,R:\{e:E| loc(e) = i\} {}\mrightarrow{} \mBbbP{}].
(es-first-at-since'(es;i;e';e.R[e];e.P[e]) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-08_50_32
Last ObjectModification:
2015_01_27-PM-01_19_45
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