Naturality of reverse coherent-defect dimension shifting

theorem MagnitudeConjecture.RightModule.FiniteIndecomposableSkeleton.finiteCovariantDefectDimensionShiftLinearEquiv_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) (x : CategoryTheory.Abelian.Ext (S.finiteCovariantDefectSyzygy K) (S.finiteCovariantRepresentableOnSkeleton.obj X) 1) : (S.finiteCovariantDefectDimensionShiftLinearEquiv hK Y) (x.comp (CategoryTheory.Abelian.Ext.mk₀ (S.finiteCovariantRepresentableOnSkeleton.map a)) ⋯) = ((S.finiteCovariantDefectDimensionShiftLinearEquiv hK X) x).comp (CategoryTheory.Abelian.Ext.mk₀ (S.finiteCovariantRepresentableOnSkeleton.map a)) ⋯

The reverse dimension shift commutes with postcomposition in the restricted covariant-representable target.