{ 
[es:EO]. [P:E 
]. [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: ,
set: {x:A| B[x]} ,
apply: f a,
function: x:A B[x]
Definitions :
uall: [x:A]. B[x],
prop: ,
uimplies: b supposing a,
locl-pre-preserving: f is locl-pre-preserving on P,
inject: Inj(A;B;f),
rel-pre-preserving: f is R-pre-preserving on P,
member: t 
T,
all: x:A. B[x],
implies: P 
Q,
es-le: e 
loc e' ,
refl: Refl(T;x,y.E[x; y]),
or: P 
Q,
guard: {T},
anti_sym: AntiSym(T;x,y.R[x; y])
Lemmas :
es-E_wf,
Q-R-pre-preserving_wf,
es-le_wf,
event_ordering_wf,
Q-R-pre-preserving-1-1,
es-locl_wf,
es-le_antisymmetry
\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:
2011_08_16-AM-11_09_43
Last ObjectModification:
2011_06_18-AM-09_42_00
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