Nuprl Lemma : cut-order_weakening-le
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[a,b:E(X)]. a ≤(X;f) b supposing a ≤loc b
Proof
Definitions occuring in Statement :
cut-order: a ≤(X;f) b,
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Lemmas :
cut-order_witness,
es-le_wf,
event-ordering+_subtype,
es-E-interface_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
es-cut-le-closed,
cut-of_wf,
fset-singleton_wf,
cut-of-closed,
member-fset-singleton,
es-eq_wf-interface
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[f:sys-antecedent(es;X)]. \mforall{}[a,b:E(X)].
a \mleq{}(X;f) b supposing a \mleq{}loc b
Date html generated:
2015_07_21-PM-04_05_37
Last ObjectModification:
2015_01_27-PM-05_44_56
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