OAI/Analysis/BoundedHochschild/UnitInsertionFaces.lean

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Elementary face formulas for inserting the algebra identity in a bounded cochain. These are the individual operator identities used by the finite averaging homotopy.

  1. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_leftCoboundary_zero line 15
  2. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_leftCoboundary_succ line 22
  3. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_rightCoboundary_last line 42
  4. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_rightCoboundary_castSucc line 49
  5. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_middleCoboundary_castSucc line 58
  6. lemma OAI.BoundedHochschild.KadisonRingrose.merge_insert_succ_one line 65
  7. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_middleCoboundary_succ line 84
  8. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_middleCoboundary_after line 91
  9. lemma OAI.BoundedHochschild.KadisonRingrose.merge_insert_succ_before line 104
  10. lemma OAI.BoundedHochschild.KadisonRingrose.curryMid_middleCoboundary_before line 115