Nuprl Lemma : locl-pre-preserving-1-1
∀[es:EO]. ∀[P:E ─→ ℙ]. ∀[f:{e:E| P e} ─→ E]. Inj({e:E| P e} ;E;f) supposing f is locl-pre-preserving on P
Proof
Definitions occuring in Statement :
locl-pre-preserving: f is locl-pre-preserving on P,
es-E: E,
event_ordering: EO,
inject: Inj(A;B;f),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
prop: ℙ,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x]
Lemmas :
es-E_wf,
Q-R-pre-preserving_wf,
es-le_wf,
event_ordering_wf,
Q-R-pre-preserving-1-1,
es-le-self,
es-causle_antisymmetry,
es-causle_weakening_locl
\mforall{}[es:EO]. \mforall{}[P:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P e\} {}\mrightarrow{} E].
Inj(\{e:E| P e\} ;E;f) supposing f is locl-pre-preserving on P
Date html generated:
2015_07_17-AM-09_03_56
Last ObjectModification:
2015_01_27-PM-00_52_35
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