File tree Expand file tree Collapse file tree 1 file changed +0
-13
lines changed
Mathlib/AlgebraicGeometry/Modules Expand file tree Collapse file tree 1 file changed +0
-13
lines changed Original file line number Diff line number Diff line change @@ -398,19 +398,6 @@ set_option backward.isDefEq.respectTransparency false in
398398instance : (tilde M).IsQuasicoherent :=
399399 (presentationTilde.{u} _ .univ (by simp) _ (Submodule.span_eq _)).isQuasicoherent
400400
401- set_option backward.isDefEq.respectTransparency false in
402- lemma isIso_fromTildeΓ_of_presentation (M : (Spec R).Modules) (P : M.Presentation) :
403- IsIso M.fromTildeΓ := by
404- rw [isIso_fromTildeΓ_iff]
405- let g := (tilde.functor _).preimage <| (tildeFinsupp _).hom ≫ P.relations.π ≫ kernel.ι _ ≫
406- (tildeFinsupp _).inv
407- let iso : cokernel ((tilde.functor R).map g) ≅ cokernel (P.relations.π ≫ kernel.ι _) := by
408- refine cokernel.mapIso _ _ (tildeFinsupp _) (tildeFinsupp _) ?_
409- simp only [g, (tilde.functor R).map_preimage]
410- simp
411- exact ⟨cokernel g, ⟨PreservesCokernel.iso (tilde.functor R) g ≪≫ iso ≪≫
412- IsColimit.coconePointUniqueUpToIso (colimit.isColimit _) P.isColimit⟩⟩
413-
414401end IsQuasicoherent
415402
416403end AlgebraicGeometry
You can’t perform that action at this time.
0 commit comments