Nuprl Lemma : es-pred-loc-base

∀es:EO. ∀e:es-base-E(es).  (loc(pred(e)) = loc(e) ∈ Id)


Proof




Definitions occuring in Statement :  es-pred: pred(e),  es-loc: loc(e),  es-base-E: es-base-E(es),  event_ordering: EO,  Id: Id,  all: ∀x:A. B[x],  equal: s = t ∈ T
Lemmas :  es-base-E_wf,  es-causl-wf-base,  es-eq-wf-base,  es-causl-swellfnd-base,  nat_properties,  less_than_transitivity1,  less_than_irreflexivity,  ge_wf,  less_than_wf,  int_seg_wf,  int_seg_subtype-nat,  decidable__le,  subtract_wf,  false_wf,  not-ge-2,  less-iff-le,  condition-implies-le,  minus-one-mul,  zero-add,  minus-add,  minus-minus,  add-associates,  add-swap,  add-commutes,  add_functionality_wrt_le,  add-zero,  le-add-cancel,  decidable__equal_int,  subtype_rel-int_seg,  le_weakening,  int_seg_properties,  le_wf,  nat_wf,  zero-le-nat,  lelt_wf,  equal_wf,  decidable__lt,  not-equal-2,  le-add-cancel-alt,  not-le-2,  sq_stable__le,  add-mul-special,  zero-mul,  es-dom_wf,  es-base-pred_wf,  bool_wf,  eqtt_to_assert,  eqff_to_assert,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert-bnot,  es-base-pred-properties,  deq_wf,  es-loc-wf-base,  es-base-pred-less
\mforall{}es:EO.  \mforall{}e:es-base-E(es).    (loc(pred(e))  =  loc(e))



Date html generated: 2015_07_17-AM-08_35_07
Last ObjectModification: 2015_01_27-PM-03_00_09

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