OAI/Analysis/KadisonKastler/FreeDiagonalNormalForm.lean

GitHub source file

12 declarations, 0 contain sorry, 0 declared as axioms

Algebraic normal form for the finite diagonal generators

  1. def OAI.KadisonKastler.reducedDiagonalSpan line 14
  2. theorem OAI.KadisonKastler.diagonalWord_mem_reducedDiagonalSpan line 17
  3. theorem OAI.KadisonKastler.one_mem_reducedDiagonalSpan line 21
  4. theorem OAI.KadisonKastler.ReducedDiagonalWord.replace_label line 24
  5. theorem OAI.KadisonKastler.diagonalCentered_mul_word_mem line 29
  6. theorem OAI.KadisonKastler.diagonalCentered_mul_mem_reducedDiagonalSpan line 55
  7. theorem OAI.KadisonKastler.diagonalWord_mul_mem_reducedDiagonalSpan line 70
  8. theorem OAI.KadisonKastler.mul_mem_reducedDiagonalSpan line 81
  9. theorem OAI.KadisonKastler.star_mem_reducedDiagonalSpan line 96
  10. def OAI.KadisonKastler.reducedDiagonalAlgebra line 110
  11. theorem OAI.KadisonKastler.reducedDiagonalAlgebra_eq_adjoin line 124
  12. theorem OAI.KadisonKastler.generatedDiagonal_eq_reducedClosure line 149