Nuprl Lemma : rel-pre-preserving_wf
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[R:E ─→ E ─→ ℙ]. ∀[f:{e:E| P e} ─→ E]. (f is R-pre-preserving on P ∈ ℙ)
Proof
Definitions occuring in Statement :
rel-pre-preserving: f is R-pre-preserving on P,
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x]
Lemmas :
Q-R-pre-preserving_wf,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[R:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P e\} {}\mrightarrow{} E]. (f is R-pre-preserving on P \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_03_36
Last ObjectModification:
2015_01_27-PM-00_53_16
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