OAI/Computability/PerfectCompleteness/Algebra/LowerCrossRank.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.PerfectCompleteness.LowerCrossRank.evaluation_surjective line 25
  2. def OAI.PerfectCompleteness.LowerCrossRank.crossLinear line 42
  3. theorem OAI.PerfectCompleteness.LowerCrossRank.crossLinear_surjective line 49
  4. theorem OAI.PerfectCompleteness.LowerCrossRank.uniform_pushforward_perm line 61
  5. theorem OAI.PerfectCompleteness.LowerCrossRank.affine_cross_uniform line 78
  6. def OAI.PerfectCompleteness.LowerCrossRank.firstFunctionals line 102
  7. def OAI.PerfectCompleteness.LowerCrossRank.crossMatrix line 105
  8. theorem OAI.PerfectCompleteness.LowerCrossRank.crossMatrix_uniform_of_independent line 109
  9. theorem OAI.PerfectCompleteness.LowerCrossRank.conditional_rank_probability_le line 125
  10. theorem OAI.PerfectCompleteness.LowerCrossRank.probability_product line 137
  11. theorem OAI.PerfectCompleteness.LowerCrossRank.cross_rank_probability_le line 145
  12. def OAI.PerfectCompleteness.LowerCrossRank.gramMatrix line 193
  13. theorem OAI.PerfectCompleteness.LowerCrossRank.cross_rank_le_gram_rank line 200
  14. theorem OAI.PerfectCompleteness.LowerCrossRank.gram_rank_probability_le line 205
  15. theorem OAI.PerfectCompleteness.LowerCrossRank.cross_rank_probability_le_of_rank_gt line 219
  16. theorem OAI.PerfectCompleteness.LowerCrossRank.rank_le_of_cross_probability line 235