OAI/Algebra/Finitistic/Ordinary/OrdinaryProductDimension.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LittleFinitistic.ProductModules.firstInflation_preservesHomology line 13

    Source documentation

    Exactness of actual inflation, with the module universe independent of the ring universe.

    theorem firstInflation_preservesHomology :
        (firstInflation.{u,v} L R).PreservesHomology :=
    …
  2. theorem OAI.LittleFinitistic.ProductModules.firstInflation_dimensionLE line 21

    Source documentation

    Inflation from a factor preserves finite projective-dimension bounds, via actual projective covers.

    theorem firstInflation_dimensionLE (n : ℕ) (M : ModuleCat.{v} L) [HasProjectiveDimensionLE M n] :
        HasProjectiveDimensionLE ((firstInflation L R).obj M) n := by
    …

    Mentions: OAI.LittleFinitistic.ProductModules.firstInflation