OAI/Algebra/Finitistic/Ordinary/OrdinaryProductProjective.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.LittleFinitistic.ProductModules.firstInflation line 10
  2. def OAI.LittleFinitistic.ProductModules.intoFirst line 15
  3. theorem OAI.LittleFinitistic.ProductModules.firstSpace_product_smul line 25
  4. def OAI.LittleFinitistic.ProductModules.outOfFirst line 33
  5. theorem OAI.LittleFinitistic.ProductModules.firstInflation_projective line 43

    Source documentation

    Inflation from one factor preserves actual projective objects.

    theorem firstInflation_projective (P : ModuleCat.{v} L) [Projective P] :
        Projective ((firstInflation L R).obj P) := by
    …

    Mentions: OAI.LittleFinitistic.ProductModules.firstInflation