Nuprl Lemma : add-cut-conditions_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[e:E(X)].
(add-cut-conditions(c;e) ∈ ℙ)
Proof
Definitions occuring in Statement :
add-cut-conditions: add-cut-conditions(c;e),
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),
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
member: t ∈ T,
universe: Type
Lemmas :
not_wf,
equal_wf,
fset-member_wf-cut,
assert_wf,
in-eclass_wf,
es-prior-interface_wf0,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_top,
eclass-val_wf2,
es-prior-interface_wf,
es-cut-add_wf,
list_wf,
Id_wf,
es-loc_wf,
es-cut-at_wf,
append_wf,
cons_wf,
nil_wf,
length_wf,
length-append,
es-interface-predecessors_wf,
subtype_rel_list_set,
es-loc-prior-interface,
iff_weakening_equal,
all_wf,
es-E-interface_wf,
es-cut_wf,
sys-antecedent_wf,
eclass_wf,
event-ordering+_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{}[e:E(X)].
(add-cut-conditions(c;e) \mmember{} \mBbbP{})
Date html generated:
2015_07_21-PM-04_03_10
Last ObjectModification:
2015_02_04-PM-06_06_58
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