OAI/Algebra/Finitistic/Ordinary/OrdinarySecondBlockTotal.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.secondTotalEquiv line 17
  2. theorem OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.secondTotalEquiv_apply line 24
  3. theorem OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.second_entry line 29
  4. theorem OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.second_vertical line 52
  5. theorem OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.second_differential line 60
  6. def OAI.LittleFinitistic.OrdinarySimulation.BlockTensor.secondTotalIso line 89

    Source documentation

    Actual tensor with the off-diagonal complex on a second-block input is the first-block T-total.

    def secondTotalIso :
    total k (L × R) (L × R) (OffDiagonal.complex k L R O T) (BlockModule.secondComplex L R Z) p hp ≅
      BlockModule.firstComplex L R (total k L R T Z p hp) :=
…

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.complex, OAI.LittleFinitistic.BlockModule.secondComplex, OAI.LittleFinitistic.BlockModule.firstComplex