OAI/Algebra/Finitistic/Ordinary/OrdinaryRightProjective.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LittleFinitistic.OrdinarySimulation.finitePi_projective line 11

    Source documentation

    The finite direct sum of actual projective terms is projective.

    theorem finitePi_projective {R : Type u} [Ring R] {ι : Type v} [Fintype ι]
        (V : ι → Type w) [∀ i, AddCommGroup (V i)] [∀ i, Module R (V i)]
        [∀ i, Module.Projective R (V i)] : Module.Projective R (∀ i, V i) :=
    …
  2. abbrev OAI.LittleFinitistic.OrdinarySimulation.underlyingRightComplex line 20

    Source documentation

    The actual underlying right-B complex of the genuine dg bimodule.

    abbrev underlyingRightComplex (P : CochainComplex (ModuleCat.{u} (Enveloping k B)) ℤ) :
        CochainComplex (ModuleCat.{u} Bᵐᵒᵖ) ℤ :=
    …

    Mentions: OAI.LittleFinitistic.OrdinarySimulation.Enveloping

  3. theorem OAI.LittleFinitistic.OrdinarySimulation.ordinaryO_right_projective line 25