Nuprl Lemma : es-le-linorder-interface
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀j:Id. Linorder({e':E(X)| loc(e') = j ∈ Id} ;a,b.a ≤loc b )
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-loc: loc(e),
Id: Id,
linorder: Linorder(T;x,y.R[x; y]),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Lemmas :
Id_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
es-le-linorder,
subtype_rel_sets,
equal_wf,
es-loc_wf,
set_wf,
es-E-interface_wf,
es-le_wf,
in-eclass_wf,
sq_stable__assert,
equal_functionality_wrt_subtype_rel2,
assert_wf
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}j:Id. Linorder(\{e':E(X)| loc(e') = j\} ;a,b.a \mleq{}loc b )
Date html generated:
2015_07_17-PM-00_53_29
Last ObjectModification:
2015_01_27-PM-11_14_12
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