Nuprl Lemma : es-interface-predecessors-nonempty
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E(X)]. 0 < ||≤(X)(e)||
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
length: ||as||,
less_than: a < b,
uall: ∀[x:A]. B[x],
top: Top,
natural_number: $n,
universe: Type
Lemmas :
es-E-interface_wf,
member-less_than,
length_wf,
Id_wf,
es-loc_wf,
event-ordering+_subtype,
es-interface-predecessors_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_wf,
es-interface-predecessors-member,
list_wf,
set_wf,
list-cases,
length_of_nil_lemma,
member-implies-null-eq-bfalse,
nil_wf,
null_nil_lemma,
btrue_wf,
btrue_neq_bfalse,
l_member_wf,
product_subtype_list,
length_of_cons_lemma,
non_neg_length,
length_wf_nat,
subtype_rel_list
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E(X)]. 0 < ||\mleq{}(X)(e)||
Date html generated:
2015_07_20-PM-03_42_59
Last ObjectModification:
2015_01_27-PM-10_12_17
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