Nuprl Lemma : es-cut-at_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[i:Id].
(c(i) ∈ {e:E(X)| loc(e) = i ∈ Id} List)
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-loc: loc(e),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Lemmas :
es-fset-at_wf,
event-ordering+_subtype,
subtype_rel_fset,
es-E-interface_wf,
es-E_wf,
es-E-interface-strong-subtype,
Id_wf,
es-cut_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
event-ordering+_wf,
es-fset-at_wf-interface,
list-set-type2,
equal_wf,
es-loc_wf,
l_all_iff,
l_member_wf,
es-fset-at-property,
l_member_subtype
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].
(c(i) \mmember{} \{e:E(X)| loc(e) = i\} List)
Date html generated:
2015_07_21-PM-03_56_29
Last ObjectModification:
2015_01_27-PM-05_56_06
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