OAI/Algebra/Finitistic/Ordinary/OrdinaryShiftSign.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.LittleFinitistic.OrdinarySimulation.unsignedShiftline 11Source 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 …
- def
OAI.LittleFinitistic.OrdinarySimulation.integerUnitIsoline 21Source documentation
Multiplication by an integer unit is an actual isomorphism in any additive category.
def integerUnitIso (X : C) (u : ℤˣ) : X ≅ X where …
- def
OAI.LittleFinitistic.OrdinarySimulation.shiftSignIsoline 32Source 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