Nuprl Lemma : rv-qle_wf

∀[k:FinProbSpace]. ∀[n:ℕ]. ∀[X,Y:RandomVariable(k;n)].  (X ≤ Y ∈ RandomVariable(k;n))


Proof




Definitions occuring in Statement :  rv-qle: A ≤ B,  random-variable: RandomVariable(p;n),  finite-prob-space: FinProbSpace,  nat: ℕ,  uall: ∀[x:A]. B[x],  member: t ∈ T
Lemmas :  q_le_wf,  bool_wf,  eqtt_to_assert,  Error :assert-q_le-eq,  iff_weakening_equal,  int-subtype-rationals,  eqff_to_assert,  equal_wf,  bool_cases_sqequal,  subtype_base_sq,  bool_subtype_base,  assert-bnot,  not_wf,  squash_wf,  true_wf,  int_seg_wf,  length_wf,  rationals_wf,  nat_wf,  set_wf,  list_wf,  equal-wf-T-base,  Error :qsum_wf,  select_wf,  sq_stable__le,  l_all_wf2,  l_member_wf,  Error :qle_wf
\mforall{}[k:FinProbSpace].  \mforall{}[n:\mBbbN{}].  \mforall{}[X,Y:RandomVariable(k;n)].    (X  \mleq{}  Y  \mmember{}  RandomVariable(k;n))



Date html generated: 2015_07_17-AM-07_58_48
Last ObjectModification: 2015_02_03-PM-09_44_14

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