OAI/Algebra/Finitistic/Ordinary/OrdinaryOffDiagonalSingle.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.singles line 13
  2. theorem OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.singles_isZero line 17
  3. def OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.singleTermIso line 21
  4. def OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.singleIso line 32

    Source documentation

    The off-diagonal direct sum of two ordinary modules is their ordinary bimodule in degree zero.

    def singleIso : singles k L R O T ≅
        (HomologicalComplex.single _ (.up ℤ) 0).obj (object k L R O T) :=
    …

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.singles, OAI.LittleFinitistic.OrdinarySimulation.OffDiagonal.object