Nuprl Lemma : run-cause_wf

[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])].  (run-cause(r) ∈ runEvents(r) ─→ (runEvents(r)?))


Proof




Definitions occuring in Statement :  run-cause: run-cause(r) runEvents: runEvents(r) pRunType: pRunType(T.M[T]) uall: [x:A]. B[x] so_apply: x[s] unit: Unit member: t ∈ T function: x:A ─→ B[x] union: left right universe: Type
Lemmas :  run-info_wf Id_wf pMsg_wf le_int_wf bool_wf eqtt_to_assert assert_of_le_int is-run-event_wf le_wf equal_wf bool_cases_sqequal subtype_base_sq bool_subtype_base assert_wf unit_wf2 eqff_to_assert assert-bnot iff_transitivity assert_elim not_assert_elim and_wf band_wf btrue_neq_bfalse iff_weakening_uiff assert_of_band it_wf runEvents_wf pRunType_wf

Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[r:pRunType(P.M[P])].    (run-cause(r)  \mmember{}  runEvents(r)  {}\mrightarrow{}  (runEvents(r)?))



Date html generated: 2015_07_23-AM-11_13_54
Last ObjectModification: 2015_01_29-AM-00_06_06

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