Nuprl Lemma : es-interface-count-val

∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E].  #X(e) ~ ||≤(X)(e)|| supposing ↑e ∈b X


Proof




Definitions occuring in Statement :  es-interface-count: #X,  es-interface-predecessors: ≤(X)(e),  eclass-val: X(e),  in-eclass: e ∈b X,  eclass: EClass(A[eo; e]),  event-ordering+: EO+(Info),  es-E: E,  length: ||as||,  assert: ↑b,  uimplies: b supposing a,  uall: ∀[x:A]. B[x],  top: Top,  universe: Type,  sqequal: s ~ t
Lemmas :  eq_int_wf,  bag-size_wf,  top_wf,  bool_wf,  eqtt_to_assert,  assert_of_eq_int,  nat_wf,  bag_only_single_lemma,  true_wf,  eqff_to_assert,  equal_wf,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert-bnot,  neg_assert_of_eq_int,  false_wf,  es-E_wf,  event-ordering+_subtype,  eclass_wf,  event-ordering+_wf,  assert_wf,  in-eclass_wf

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(Top)].  \mforall{}[e:E].    \#X(e)  \msim{}  ||\mleq{}(X)(e)||  supposing  \muparrow{}e  \mmember{}\msubb{}  X



Date html generated: 2015_07_20-PM-03_45_33
Last ObjectModification: 2015_01_27-PM-10_09_23

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