Nuprl Lemma : es-cut-le-closed
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[a,e:E(X)].
(e ∈ c) supposing (e ≤loc a and a ∈ c)
Proof
Definitions occuring in Statement :
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' ,
es-eq: es-eq(es),
fset-member: a ∈ s,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Lemmas :
es-cut-locl-closed,
fset-member_witness,
es-E-interface_wf,
es-eq_wf-interface,
es-le_wf,
event-ordering+_subtype,
fset-member_wf-cut,
es-cut_wf,
sys-antecedent_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
squash_wf,
true_wf,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_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{}[a,e:E(X)].
(e \mmember{} c) supposing (e \mleq{}loc a and a \mmember{} c)
Date html generated:
2015_07_21-PM-03_55_54
Last ObjectModification:
2015_01_27-PM-05_55_08
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