OAI/Algebra/Finitistic/Ordinary/OrdinaryProductProjective.lean
5 declarations, 0 contain sorry, 0 declared as axioms
- abbrev
OAI.LittleFinitistic.ProductModules.firstInflationline 10 - def
OAI.LittleFinitistic.ProductModules.intoFirstline 15 - theorem
OAI.LittleFinitistic.ProductModules.firstSpace_product_smulline 25 - def
OAI.LittleFinitistic.ProductModules.outOfFirstline 33 - theorem
OAI.LittleFinitistic.ProductModules.firstInflation_projectiveline 43Source 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