| import OAI.Algebra.Finitistic.Localization.NativeBoundedDerived | |
| namespace OAI | |
| noncomputable section | |
| open CategoryTheory CategoryTheory.Limits | |
| namespace LittleFinitistic.BimoduleTotal | |
| open ExternalTensor.Section4 | |
| universe u | |
| variable {k B : Type u} [Field k] [Ring B] [Algebra k B] | |
| /-- Direct adapter for the boundedness and right-projectivity fields of the native fixed rectification. -/ | |
| def nativeProjectiveModel (P : BiComplex k B) (lo hi : ℤ) | |
| (bounded : ∀ n, n < lo ∨ hi < n → IsZero (P.X n)) | |
| (projective : ∀ n, CategoryTheory.Projective ((right k B P).X n)) : | |
| BoundedProjective k B P where | |
| lower := lo | |
| upper := hi | |
| bounded := bounded | |
| projective n := by | |
| let := projective n | |
| exact inferInstanceAs (Module.Projective Bᵐᵒᵖ ((right k B P).X n)) | |
| end LittleFinitistic.BimoduleTotal | |
| end | |
| end OAI | |