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216fb31 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 | 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
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