OAI/Analysis/Commutator/MatrixExpectation.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Kadison.MatrixExpectation.expectation line 22
  2. lemma OAI.Kadison.MatrixExpectation.expectation_apply line 26
  3. lemma OAI.Kadison.MatrixExpectation.star_expectation line 31
  4. lemma OAI.Kadison.MatrixExpectation.selfAdjoint line 36
  5. lemma OAI.Kadison.MatrixExpectation.single_left line 40
  6. lemma OAI.Kadison.MatrixExpectation.single_right line 53
  7. lemma OAI.Kadison.MatrixExpectation.commutes line 66
  8. lemma OAI.Kadison.MatrixExpectation.matrixSandwich line 77
  9. lemma OAI.Kadison.MatrixExpectation.matrixSum line 87
  10. lemma OAI.Kadison.MatrixExpectation.on_matrix line 92
  11. lemma OAI.Kadison.MatrixExpectation.card_ne line 101
  12. lemma OAI.Kadison.MatrixExpectation.fixes line 103
  13. lemma OAI.Kadison.MatrixExpectation.idempotent line 113
  14. lemma OAI.Kadison.MatrixExpectation.inner_symm line 122
  15. lemma OAI.Kadison.MatrixExpectation.norm_vector_le line 140
  16. lemma OAI.Kadison.MatrixExpectation.trace_preserving line 150
  17. lemma OAI.Kadison.MatrixExpectation.on_matrix_trace line 157