Nuprl Lemma : es-interface-sublist_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[z:E List]. (es-interface-sublist(X;z) ∈ E(X) List)
Proof
Definitions occuring in Statement :
es-interface-sublist: es-interface-sublist(X;z),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
universe: Type
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
equal-wf-T-base,
colength_wf_list,
list-cases,
filter_nil_lemma,
nil_wf,
es-E-interface_wf,
product_subtype_list,
spread_cons_lemma,
sq_stable__le,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-associates,
add-zero,
zero-add,
le-add-cancel,
nat_wf,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-commutes,
le_wf,
subtract_wf,
not-ge-2,
less-iff-le,
minus-minus,
add-swap,
subtype_base_sq,
set_subtype_base,
int_subtype_base,
filter_cons_lemma,
in-eclass_wf,
bool_wf,
eqtt_to_assert,
cons_wf,
assert_wf,
list_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[z:E List].
(es-interface-sublist(X;z) \mmember{} E(X) List)
Date html generated:
2015_07_17-PM-00_55_42
Last ObjectModification:
2015_01_27-PM-10_48_28
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