OAI/Algebra/Finitistic/Ordinary/OrdinaryShiftSign.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.LittleFinitistic.OrdinarySimulation.unsignedShift line 11

    Source documentation

    Reindex P by b, retaining the original differential. This is what the resolution computes.

    def unsignedShift (P : CochainComplex C ℤ) (b : ℤ) : CochainComplex C ℤ where
    …
  2. def OAI.LittleFinitistic.OrdinarySimulation.integerUnitIso line 21

    Source documentation

    Multiplication by an integer unit is an actual isomorphism in any additive category.

    def integerUnitIso (X : C) (u : ℤˣ) : X ≅ X where
    …
  3. def OAI.LittleFinitistic.OrdinarySimulation.shiftSignIso line 32

    Source documentation

    The source's degree-n sign (-1)^(b*n), for all integers b and n.

    def shiftSignIso (P : CochainComplex C ℤ) (b : ℤ) : unsignedShift P b ≅ P⟦b⟧ :=
    …

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.unsignedShift