Nuprl Lemma : es-cut-at-property1
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀f:sys-antecedent(es;X). ∀c:Cut(X;f). ∀i:Id.
(no_repeats(E(X);c(i)) ∧ sorted-by(λx,y. x ≤loc y ;c(i)))
Proof
Definitions occuring in Statement :
es-cut-at: c(i),
es-cut: Cut(X;f),
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' ,
Id: Id,
sorted-by: sorted-by(R;L),
no_repeats: no_repeats(T;l),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
and: P ∧ Q,
lambda: λx.A[x],
universe: Type
Lemmas :
es-E-interface_wf,
no_repeats-subtype,
es-E_wf,
event-ordering+_subtype,
es-cut-at_wf,
subtype_rel_list,
Id_wf,
es-loc_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}c:Cut(X;f). \mforall{}i:Id.
(no\_repeats(E(X);c(i)) \mwedge{} sorted-by(\mlambda{}x,y. x \mleq{}loc y ;c(i)))
Date html generated:
2015_07_21-PM-03_56_51
Last ObjectModification:
2015_01_27-PM-05_53_27
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