OAI/Probability/FreeIsing/Gaussian/PathAttenuation.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem367.GaussianAttenuation.pathTail line 12
  2. def OAI.Problem367.GaussianAttenuation.pathProduct line 14
  3. lemma OAI.Problem367.GaussianAttenuation.measurable_pathTail line 18
  4. lemma OAI.Problem367.GaussianAttenuation.measurable_pathProduct line 21
  5. lemma OAI.Problem367.GaussianAttenuation.pathProduct_nonneg line 31
  6. lemma OAI.Problem367.GaussianAttenuation.pathProduct_le_one line 35
  7. lemma OAI.Problem367.GaussianAttenuation.integrable_pathProduct_comp line 40
  8. lemma OAI.Problem367.GaussianAttenuation.pathProduct_succ line 52
  9. lemma OAI.Problem367.GaussianAttenuation.head_indep_tail line 71
  10. theorem OAI.Problem367.GaussianAttenuation.integral_pathProduct_le line 81
  11. lemma OAI.Problem367.GaussianAttenuation.measurable_pathProduct_parameter line 125
  12. theorem OAI.Problem367.GaussianAttenuation.integral_pathProduct_parameter_le line 138
  13. theorem OAI.Problem367.GaussianAttenuation.exists_uniform_path_attenuation_gap line 186
  14. theorem OAI.Problem367.GaussianAttenuation.integral_pathProduct_environment_le line 208
  15. def OAI.Problem367.GaussianAttenuation.pathResponse line 239
  16. lemma OAI.Problem367.GaussianAttenuation.pathResponse_sq line 243
  17. theorem OAI.Problem367.GaussianAttenuation.integral_pathResponse_sq_environment_le line 248
  18. lemma OAI.Problem367.GaussianAttenuation.integrable_pathResponse_sq_environment line 267