Nuprl Lemma : causale-order-preserving_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[f:{e:E| P[e]} ─→ E]. (e.f[e] is c≤ preserving on e.P[e] ∈ ℙ)
Proof
Definitions occuring in Statement :
causale-order-preserving: a.f[a] is c≤ preserving on e.P[e],
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x]
Lemmas :
all_wf,
es-E_wf,
es-causle_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P[e]\} {}\mrightarrow{} E]. (e.f[e] is c\mleq{} preserving on e.P[e] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_06_00
Last ObjectModification:
2015_01_27-PM-00_48_31
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