Nuprl Lemma : es-le-linorder
∀es:EO. ∀i:Id. Linorder({e:E| loc(e) = i ∈ Id} ;a,b.a ≤loc b )
Proof
Definitions occuring in Statement :
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
linorder: Linorder(T;x,y.R[x; y]),
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
es-le_weakening_eq,
es-le_wf,
set_wf,
es-E_wf,
Id_wf,
es-loc_wf,
es-le_transitivity,
es-locl_transitivity2,
es-locl_irreflexivity,
equal_wf,
es-le-total
\mforall{}es:EO. \mforall{}i:Id. Linorder(\{e:E| loc(e) = i\} ;a,b.a \mleq{}loc b )
Date html generated:
2015_07_17-AM-08_38_02
Last ObjectModification:
2015_01_27-PM-02_58_59
Home
Index