Magnitude conjecture

MagnitudeConjecture.Algebra.RightModuleCoherentCodefectExtTwoNaturality

Naturality of the reverse coherent-defect Ext² calculation #

theorem MagnitudeConjecture.RightModule.FiniteIndecomposableSkeleton.finiteCovariantDefectPresentationLinearEquiv_postcomp {k A : Type u} [Field k] [IsAlgClosed k] [Ring A] [Algebra k A] [FiniteDimensional k A] [IsNoetherianRing Aᵐᵒᵖ] (S : FiniteIndecomposableSkeleton k A) [CategoryTheory.HasExt S.FiniteCovariantFunctor] {K : CategoryTheory.ShortComplex FG} (hK : K.ShortExact) {X Y : S.IndecCategoryᵒᵖ} (a : X ⟶ Y) (q : ((S.finiteCovariantDefectLeftShortComplex K).X₁ ⟶ S.finiteCovariantRepresentableOnSkeleton.obj X) ⧸ ProjectivePresentationExt.presentationRange (S.finiteCovariantDefectLeftShortComplex K) (S.finiteCovariantRepresentableOnSkeleton.obj X)) :

Naturality of the reverse quotient model for Ext².