algebraic_geometry.locally_ringed_space.has_colimits ⟷ Mathlib.Geometry.RingedSpace.LocallyRingedSpace.HasColimits

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -3,9 +3,9 @@ Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import AlgebraicGeometry.LocallyRingedSpace
+import Geometry.RingedSpace.LocallyRingedSpace
 import Algebra.Category.Ring.Constructions
-import AlgebraicGeometry.OpenImmersion.Basic
+import Geometry.RingedSpace.OpenImmersion
 import CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
 #align_import algebraic_geometry.locally_ringed_space.has_colimits from "leanprover-community/mathlib"@"e8e130de9dba4ed6897183c3193c752ffadbcc77"

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -102,7 +102,7 @@ noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F)
       have :=
         PresheafedSpace.stalk_map.comp (colimit.ι (F ⋙ forget_to_SheafedSpace) i : _)
           (colimit.desc (F ⋙ forget_to_SheafedSpace) (forget_to_SheafedSpace.map_cocone s)) y
-      rw [← is_iso.comp_inv_eq] at this 
+      rw [← is_iso.comp_inv_eq] at this
       erw [← this,
         PresheafedSpace.stalk_map.congr_hom _ _
           (colimit.ι_desc (forget_to_SheafedSpace.map_cocone s) i : _)]
@@ -141,7 +141,7 @@ instance coequalizer_π_app_isLocalRingHom
     IsLocalRingHom ((coequalizer.π f.val g.val : _).c.app (op U)) :=
   by
   have := ι_comp_coequalizer_comparison f.1 g.1 SheafedSpace.forget_to_PresheafedSpace
-  rw [← preserves_coequalizer.iso_hom] at this 
+  rw [← preserves_coequalizer.iso_hom] at this
   erw [SheafedSpace.congr_app this.symm (op U)]
   rw [PresheafedSpace.comp_c_app, ←
     PresheafedSpace.colimit_presheaf_obj_iso_componentwise_limit_hom_π]
@@ -232,7 +232,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   constructor
   rintro a ha
   rcases TopCat.Presheaf.germ_exist _ _ a with ⟨U, hU, s, rfl⟩
-  erw [PresheafedSpace.stalk_map_germ_apply (coequalizer.π f.1 g.1 : _) U ⟨_, hU⟩] at ha 
+  erw [PresheafedSpace.stalk_map_germ_apply (coequalizer.π f.1 g.1 : _) U ⟨_, hU⟩] at ha
   let V := image_basic_open f g U s
   have hV : (coequalizer.π f.1 g.1).base ⁻¹' ((coequalizer.π f.1 g.1).base '' V.1) = V.1 :=
     image_basic_open_image_preimage f g U s

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,10 +3,10 @@ Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathbin.AlgebraicGeometry.LocallyRingedSpace
-import Mathbin.Algebra.Category.Ring.Constructions
-import Mathbin.AlgebraicGeometry.OpenImmersion.Basic
-import Mathbin.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
+import AlgebraicGeometry.LocallyRingedSpace
+import Algebra.Category.Ring.Constructions
+import AlgebraicGeometry.OpenImmersion.Basic
+import CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
 #align_import algebraic_geometry.locally_ringed_space.has_colimits from "leanprover-community/mathlib"@"e8e130de9dba4ed6897183c3193c752ffadbcc77"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module algebraic_geometry.locally_ringed_space.has_colimits
-! leanprover-community/mathlib commit e8e130de9dba4ed6897183c3193c752ffadbcc77
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicGeometry.LocallyRingedSpace
 import Mathbin.Algebra.Category.Ring.Constructions
 import Mathbin.AlgebraicGeometry.OpenImmersion.Basic
 import Mathbin.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
+#align_import algebraic_geometry.locally_ringed_space.has_colimits from "leanprover-community/mathlib"@"e8e130de9dba4ed6897183c3193c752ffadbcc77"
+
 /-!
 # Colimits of LocallyRingedSpace
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/6285167a053ad0990fc88e56c48ccd9fae6550eb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 
 ! This file was ported from Lean 3 source module algebraic_geometry.locally_ringed_space.has_colimits
-! leanprover-community/mathlib commit 533f62f4dd62a5aad24a04326e6e787c8f7e98b1
+! leanprover-community/mathlib commit e8e130de9dba4ed6897183c3193c752ffadbcc77
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 /-!
 # Colimits of LocallyRingedSpace
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We construct the explicit coproducts and coequalizers of `LocallyRingedSpace`.
 It then follows that `LocallyRingedSpace` has all colimits, and
 `forget_to_SheafedSpace` preserves them.

mathlib commit https://github.com/leanprover-community/mathlib/commit/0723536a0522d24fc2f159a096fb3304bef77472

@@ -62,6 +62,7 @@ section HasCoproducts
 
 variable {ι : Type u} (F : Discrete ι ⥤ LocallyRingedSpace.{u})
 
+#print AlgebraicGeometry.LocallyRingedSpace.coproduct /-
 /-- The explicit coproduct for `F : discrete ι ⥤ LocallyRingedSpace`. -/
 noncomputable def coproduct : LocallyRingedSpace
     where
@@ -76,7 +77,9 @@ noncomputable def coproduct : LocallyRingedSpace
               (PresheafedSpace.stalk_map (colimit.ι (F ⋙ forget_to_SheafedSpace) i : _)
                 y)).symm.commRingCatIsoToRingEquiv.LocalRing
 #align algebraic_geometry.LocallyRingedSpace.coproduct AlgebraicGeometry.LocallyRingedSpace.coproduct
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.coproductCofan /-
 /-- The explicit coproduct cofan for `F : discrete ι ⥤ LocallyRingedSpace`. -/
 noncomputable def coproductCofan : Cocone F
     where
@@ -85,7 +88,9 @@ noncomputable def coproductCofan : Cocone F
     { app := fun j => ⟨colimit.ι (F ⋙ forgetToSheafedSpace) j, inferInstance⟩
       naturality' := fun j j' f => by cases j; cases j'; tidy }
 #align algebraic_geometry.LocallyRingedSpace.coproduct_cofan AlgebraicGeometry.LocallyRingedSpace.coproductCofan
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.coproductCofanIsColimit /-
 /-- The explicit coproduct cofan constructed in `coproduct_cofan` is indeed a colimit. -/
 noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F)
     where
@@ -112,6 +117,7 @@ noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F)
       (IsColimit.uniq _ (forgetToSheafedSpace.mapCocone s) f.1 fun j =>
         congr_arg LocallyRingedSpace.Hom.val (h j))
 #align algebraic_geometry.LocallyRingedSpace.coproduct_cofan_is_colimit AlgebraicGeometry.LocallyRingedSpace.coproductCofanIsColimit
+-/
 
 instance : HasCoproducts.{u} LocallyRingedSpace.{u} := fun ι =>
   ⟨fun F => ⟨⟨⟨_, coproductCofanIsColimit F⟩⟩⟩⟩
@@ -129,6 +135,7 @@ variable {X Y : LocallyRingedSpace.{v}} (f g : X ⟶ Y)
 
 namespace HasCoequalizer
 
+#print AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_app_isLocalRingHom /-
 instance coequalizer_π_app_isLocalRingHom
     (U : TopologicalSpace.Opens (coequalizer f.val g.val).carrier) :
     IsLocalRingHom ((coequalizer.π f.val g.val : _).c.app (op U)) :=
@@ -140,6 +147,7 @@ instance coequalizer_π_app_isLocalRingHom
     PresheafedSpace.colimit_presheaf_obj_iso_componentwise_limit_hom_π]
   infer_instance
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.coequalizer_π_app_is_local_ring_hom AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_app_isLocalRingHom
+-/
 
 /-!
 We roughly follow the construction given in [MR0302656]. Given a pair `f, g : X ⟶ Y` of morphisms
@@ -164,12 +172,15 @@ variable (U : Opens (coequalizer f.1 g.1).carrier)
 
 variable (s : (coequalizer f.1 g.1).Presheaf.obj (op U))
 
+#print AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen /-
 /-- (Implementation). The basic open set of the section `π꙳ s`. -/
 noncomputable def imageBasicOpen : Opens Y :=
   Y.toRingedSpace.basicOpen
     (show Y.Presheaf.obj (op (unop _)) from ((coequalizer.π f.1 g.1).c.app (op U)) s)
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.image_basic_open AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_preimage /-
 theorem imageBasicOpen_image_preimage :
     (coequalizer.π f.1 g.1).base ⁻¹' ((coequalizer.π f.1 g.1).base '' (imageBasicOpen f g U s).1) =
       (imageBasicOpen f g U s).1 :=
@@ -197,7 +208,9 @@ theorem imageBasicOpen_image_preimage :
     rw [coequalizer.condition f.1 g.1]
     exact fun _ h => h
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.image_basic_open_image_preimage AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_preimage
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open /-
 theorem imageBasicOpen_image_open :
     IsOpen ((coequalizer.π f.1 g.1).base '' (imageBasicOpen f g U s).1) :=
   by
@@ -210,7 +223,9 @@ theorem imageBasicOpen_image_open :
   rw [image_basic_open_image_preimage]
   exact (image_basic_open f g U s).2
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.image_basic_open_image_open AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalRingHom /-
 instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
     IsLocalRingHom (PresheafedSpace.stalkMap (coequalizer.π f.val g.val : _) x) :=
   by
@@ -241,9 +256,11 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
       (((coequalizer.π f.val g.val).c.app (op U)) s)
   infer_instance
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.coequalizer_π_stalk_is_local_ring_hom AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalRingHom
+-/
 
 end HasCoequalizer
 
+#print AlgebraicGeometry.LocallyRingedSpace.coequalizer /-
 /-- The coequalizer of two locally ringed space in the category of sheafed spaces is a locally
 ringed space. -/
 noncomputable def coequalizer : LocallyRingedSpace
@@ -255,19 +272,25 @@ noncomputable def coequalizer : LocallyRingedSpace
       (TopCat.epi_iff_surjective (coequalizer.π f.val g.val).base).mp inferInstance x
     exact (PresheafedSpace.stalk_map (coequalizer.π f.val g.val : _) y).domain_localRing
 #align algebraic_geometry.LocallyRingedSpace.coequalizer AlgebraicGeometry.LocallyRingedSpace.coequalizer
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.coequalizerCofork /-
 /-- The explicit coequalizer cofork of locally ringed spaces. -/
 noncomputable def coequalizerCofork : Cofork f g :=
   @Cofork.ofπ _ _ _ _ f g (coequalizer f g) ⟨coequalizer.π f.1 g.1, inferInstance⟩
     (LocallyRingedSpace.Hom.ext _ _ (coequalizer.condition f.1 g.1))
 #align algebraic_geometry.LocallyRingedSpace.coequalizer_cofork AlgebraicGeometry.LocallyRingedSpace.coequalizerCofork
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.isLocalRingHom_stalkMap_congr /-
 theorem isLocalRingHom_stalkMap_congr {X Y : RingedSpace} (f g : X ⟶ Y) (H : f = g) (x)
     (h : IsLocalRingHom (PresheafedSpace.stalkMap f x)) :
     IsLocalRingHom (PresheafedSpace.stalkMap g x) := by
   rw [PresheafedSpace.stalk_map.congr_hom _ _ H.symm x]; infer_instance
 #align algebraic_geometry.LocallyRingedSpace.is_local_ring_hom_stalk_map_congr AlgebraicGeometry.LocallyRingedSpace.isLocalRingHom_stalkMap_congr
+-/
 
+#print AlgebraicGeometry.LocallyRingedSpace.coequalizerCoforkIsColimit /-
 /-- The cofork constructed in `coequalizer_cofork` is indeed a colimit cocone. -/
 noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g) :=
   by
@@ -297,6 +320,7 @@ noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g)
     exact h
   · exact h
 #align algebraic_geometry.LocallyRingedSpace.coequalizer_cofork_is_colimit AlgebraicGeometry.LocallyRingedSpace.coequalizerCoforkIsColimit
+-/
 
 instance : HasCoequalizer f g :=
   ⟨⟨⟨_, coequalizerCoforkIsColimit f g⟩⟩⟩
@@ -304,6 +328,7 @@ instance : HasCoequalizer f g :=
 instance : HasCoequalizers LocallyRingedSpace :=
   hasCoequalizers_of_hasColimit_parallelPair _
 
+#print AlgebraicGeometry.LocallyRingedSpace.preservesCoequalizer /-
 noncomputable instance preservesCoequalizer :
     PreservesColimitsOfShape WalkingParallelPair forgetToSheafedSpace.{v} :=
   ⟨fun F => by
@@ -313,6 +338,7 @@ noncomputable instance preservesCoequalizer :
     dsimp only [forget_to_SheafedSpace]
     exact coequalizer_is_coequalizer _ _⟩
 #align algebraic_geometry.LocallyRingedSpace.preserves_coequalizer AlgebraicGeometry.LocallyRingedSpace.preservesCoequalizer
+-/
 
 end HasCoequalizer
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

@@ -39,12 +39,12 @@ theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.pt) :
     ∃ (i : J) (y : F.obj i), (c.ι.app i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget _)
     (isColimitOfPreserves (SheafedSpace.forget _) hc) x
-#align algebraic_geometry.SheafedSpace.is_colimit_exists_rep AlgebraicGeometry.SheafedSpace.isColimit_exists_rep
+#align algebraic_geometry.SheafedSpace.is_colimit_exists_rep AlgebraicGeometry.SheafedSpaceₓ.isColimit_exists_rep
 
 theorem colimit_exists_rep (x : colimit F) : ∃ (i : J) (y : F.obj i), (colimit.ι F i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget _)
     (isColimitOfPreserves (SheafedSpace.forget _) (colimit.isColimit F)) x
-#align algebraic_geometry.SheafedSpace.colimit_exists_rep AlgebraicGeometry.SheafedSpace.colimit_exists_rep
+#align algebraic_geometry.SheafedSpace.colimit_exists_rep AlgebraicGeometry.SheafedSpaceₓ.colimit_exists_rep
 
 instance {X Y : SheafedSpace C} (f g : X ⟶ Y) : Epi (coequalizer.π f g).base :=
   by

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3209ddf94136d36e5e5c624b10b2a347cc9d090

@@ -4,13 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 
 ! This file was ported from Lean 3 source module algebraic_geometry.locally_ringed_space.has_colimits
-! leanprover-community/mathlib commit d39590fc8728fbf6743249802486f8c91ffe07bc
+! leanprover-community/mathlib commit 533f62f4dd62a5aad24a04326e6e787c8f7e98b1
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicGeometry.LocallyRingedSpace
 import Mathbin.Algebra.Category.Ring.Constructions
-import Mathbin.AlgebraicGeometry.OpenImmersion
+import Mathbin.AlgebraicGeometry.OpenImmersion.Basic
 import Mathbin.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
 /-!

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

@@ -236,7 +236,8 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   rw [← isUnit_map_iff ((coequalizer.π f.val g.val : _).c.app _), ← comp_apply,
     nat_trans.naturality, comp_apply, TopCat.Presheaf.pushforwardObj_map, ←
     isUnit_map_iff (Y.presheaf.map (eq_to_hom hV').op), ← comp_apply, ← functor.map_comp]
-  convert@RingedSpace.is_unit_res_basic_open Y.to_RingedSpace (unop _)
+  convert
+    @RingedSpace.is_unit_res_basic_open Y.to_RingedSpace (unop _)
       (((coequalizer.π f.val g.val).c.app (op U)) s)
   infer_instance
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.coequalizer_π_stalk_is_local_ring_hom AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalRingHom

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -36,12 +36,12 @@ variable {C : Type u} [Category.{v} C] [HasLimits C]
 variable {J : Type v} [Category.{v} J] (F : J ⥤ SheafedSpace C)
 
 theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.pt) :
-    ∃ (i : J)(y : F.obj i), (c.ι.app i).base y = x :=
+    ∃ (i : J) (y : F.obj i), (c.ι.app i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget _)
     (isColimitOfPreserves (SheafedSpace.forget _) hc) x
 #align algebraic_geometry.SheafedSpace.is_colimit_exists_rep AlgebraicGeometry.SheafedSpace.isColimit_exists_rep
 
-theorem colimit_exists_rep (x : colimit F) : ∃ (i : J)(y : F.obj i), (colimit.ι F i).base y = x :=
+theorem colimit_exists_rep (x : colimit F) : ∃ (i : J) (y : F.obj i), (colimit.ι F i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget _)
     (isColimitOfPreserves (SheafedSpace.forget _) (colimit.isColimit F)) x
 #align algebraic_geometry.SheafedSpace.colimit_exists_rep AlgebraicGeometry.SheafedSpace.colimit_exists_rep
@@ -97,7 +97,7 @@ noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F)
       have :=
         PresheafedSpace.stalk_map.comp (colimit.ι (F ⋙ forget_to_SheafedSpace) i : _)
           (colimit.desc (F ⋙ forget_to_SheafedSpace) (forget_to_SheafedSpace.map_cocone s)) y
-      rw [← is_iso.comp_inv_eq] at this
+      rw [← is_iso.comp_inv_eq] at this 
       erw [← this,
         PresheafedSpace.stalk_map.congr_hom _ _
           (colimit.ι_desc (forget_to_SheafedSpace.map_cocone s) i : _)]
@@ -134,7 +134,7 @@ instance coequalizer_π_app_isLocalRingHom
     IsLocalRingHom ((coequalizer.π f.val g.val : _).c.app (op U)) :=
   by
   have := ι_comp_coequalizer_comparison f.1 g.1 SheafedSpace.forget_to_PresheafedSpace
-  rw [← preserves_coequalizer.iso_hom] at this
+  rw [← preserves_coequalizer.iso_hom] at this 
   erw [SheafedSpace.congr_app this.symm (op U)]
   rw [PresheafedSpace.comp_c_app, ←
     PresheafedSpace.colimit_presheaf_obj_iso_componentwise_limit_hom_π]
@@ -217,7 +217,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   constructor
   rintro a ha
   rcases TopCat.Presheaf.germ_exist _ _ a with ⟨U, hU, s, rfl⟩
-  erw [PresheafedSpace.stalk_map_germ_apply (coequalizer.π f.1 g.1 : _) U ⟨_, hU⟩] at ha
+  erw [PresheafedSpace.stalk_map_germ_apply (coequalizer.π f.1 g.1 : _) U ⟨_, hU⟩] at ha 
   let V := image_basic_open f g U s
   have hV : (coequalizer.π f.1 g.1).base ⁻¹' ((coequalizer.π f.1 g.1).base '' V.1) = V.1 :=
     image_basic_open_image_preimage f g U s

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -83,10 +83,7 @@ noncomputable def coproductCofan : Cocone F
   pt := coproduct F
   ι :=
     { app := fun j => ⟨colimit.ι (F ⋙ forgetToSheafedSpace) j, inferInstance⟩
-      naturality' := fun j j' f => by
-        cases j
-        cases j'
-        tidy }
+      naturality' := fun j j' f => by cases j; cases j'; tidy }
 #align algebraic_geometry.LocallyRingedSpace.coproduct_cofan AlgebraicGeometry.LocallyRingedSpace.coproductCofan
 
 /-- The explicit coproduct cofan constructed in `coproduct_cofan` is indeed a colimit. -/
@@ -266,10 +263,8 @@ noncomputable def coequalizerCofork : Cofork f g :=
 
 theorem isLocalRingHom_stalkMap_congr {X Y : RingedSpace} (f g : X ⟶ Y) (H : f = g) (x)
     (h : IsLocalRingHom (PresheafedSpace.stalkMap f x)) :
-    IsLocalRingHom (PresheafedSpace.stalkMap g x) :=
-  by
-  rw [PresheafedSpace.stalk_map.congr_hom _ _ H.symm x]
-  infer_instance
+    IsLocalRingHom (PresheafedSpace.stalkMap g x) := by
+  rw [PresheafedSpace.stalk_map.congr_hom _ _ H.symm x]; infer_instance
 #align algebraic_geometry.LocallyRingedSpace.is_local_ring_hom_stalk_map_congr AlgebraicGeometry.LocallyRingedSpace.isLocalRingHom_stalkMap_congr
 
 /-- The cofork constructed in `coequalizer_cofork` is indeed a colimit cocone. -/
@@ -290,10 +285,7 @@ noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g)
   constructor
   · exact LocallyRingedSpace.hom.ext _ _ (coequalizer.π_desc _ _)
   intro m h
-  replace h : (coequalizer_cofork f g).π.1 ≫ m.1 = s.π.1 :=
-    by
-    rw [← h]
-    rfl
+  replace h : (coequalizer_cofork f g).π.1 ≫ m.1 = s.π.1 := by rw [← h]; rfl
   apply LocallyRingedSpace.hom.ext
   apply (colimit.is_colimit (parallel_pair f.1 g.1)).uniq (cofork.of_π s.π.1 e) m.1
   rintro ⟨⟩

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

@@ -74,7 +74,7 @@ noncomputable def coproduct : LocallyRingedSpace
     exact
       (as_iso
               (PresheafedSpace.stalk_map (colimit.ι (F ⋙ forget_to_SheafedSpace) i : _)
-                y)).symm.commRingIsoToRingEquiv.LocalRing
+                y)).symm.commRingCatIsoToRingEquiv.LocalRing
 #align algebraic_geometry.LocallyRingedSpace.coproduct AlgebraicGeometry.LocallyRingedSpace.coproduct
 
 /-- The explicit coproduct cofan for `F : discrete ι ⥤ LocallyRingedSpace`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

@@ -239,8 +239,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   rw [← isUnit_map_iff ((coequalizer.π f.val g.val : _).c.app _), ← comp_apply,
     nat_trans.naturality, comp_apply, TopCat.Presheaf.pushforwardObj_map, ←
     isUnit_map_iff (Y.presheaf.map (eq_to_hom hV').op), ← comp_apply, ← functor.map_comp]
-  convert
-    @RingedSpace.is_unit_res_basic_open Y.to_RingedSpace (unop _)
+  convert@RingedSpace.is_unit_res_basic_open Y.to_RingedSpace (unop _)
       (((coequalizer.π f.val g.val).c.app (op U)) s)
   infer_instance
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.coequalizer_π_stalk_is_local_ring_hom AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalRingHom

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -35,7 +35,7 @@ variable {C : Type u} [Category.{v} C] [HasLimits C]
 
 variable {J : Type v} [Category.{v} J] (F : J ⥤ SheafedSpace C)
 
-theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.x) :
+theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.pt) :
     ∃ (i : J)(y : F.obj i), (c.ι.app i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget _)
     (isColimitOfPreserves (SheafedSpace.forget _) hc) x
@@ -80,7 +80,7 @@ noncomputable def coproduct : LocallyRingedSpace
 /-- The explicit coproduct cofan for `F : discrete ι ⥤ LocallyRingedSpace`. -/
 noncomputable def coproductCofan : Cocone F
     where
-  x := coproduct F
+  pt := coproduct F
   ι :=
     { app := fun j => ⟨colimit.ι (F ⋙ forgetToSheafedSpace) j, inferInstance⟩
       naturality' := fun j j' f => by

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -109,8 +109,8 @@ noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F)
           (PresheafedSpace.stalk_map ((forget_to_SheafedSpace.map_cocone s).ι.app i) y) :=
         (s.ι.app i).2 y
       infer_instance⟩
-  fac' s j := LocallyRingedSpace.Hom.ext _ _ (colimit.ι_desc _ _)
-  uniq' s f h :=
+  fac s j := LocallyRingedSpace.Hom.ext _ _ (colimit.ι_desc _ _)
+  uniq s f h :=
     LocallyRingedSpace.Hom.ext _ _
       (IsColimit.uniq _ (forgetToSheafedSpace.mapCocone s) f.1 fun j =>
         congr_arg LocallyRingedSpace.Hom.val (h j))
@@ -325,7 +325,7 @@ noncomputable instance preservesCoequalizer :
 end HasCoequalizer
 
 instance : HasColimits LocallyRingedSpace :=
-  hasColimitsOfHasCoequalizersAndCoproducts
+  has_colimits_of_hasCoequalizers_and_coproducts
 
 noncomputable instance : PreservesColimits LocallyRingedSpace.forgetToSheafedSpace :=
   preservesColimitsOfPreservesCoequalizersAndCoproducts _

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -30,7 +30,6 @@ open CategoryTheory CategoryTheory.Limits Opposite TopologicalSpace
 namespace SheafedSpace
 
 variable {C : Type u} [Category.{v} C] [HasLimits C]
-
 variable {J : Type v} [Category.{v} J] (F : J ⥤ SheafedSpace.{_, _, v} C)
 
 theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.pt) :
@@ -175,7 +174,6 @@ are local ring homs.
 
 
 variable (U : Opens (coequalizer f.1 g.1).carrier)
-
 variable (s : (coequalizer f.1 g.1).presheaf.obj (op U))
 
 /-- (Implementation). The basic open set of the section `π꙳ s`. -/

Classifies by adding issue number #11224 to porting notes claiming:

change rw to erw

@@ -204,7 +204,7 @@ theorem imageBasicOpen_image_preimage :
     delta imageBasicOpen
     rw [preimage_basicOpen f, preimage_basicOpen g]
     dsimp only [Functor.op, unop_op]
-    -- Porting note: change `rw` to `erw`
+    -- Porting note (#11224): change `rw` to `erw`
     erw [← comp_apply, ← SheafedSpace.comp_c_app', ← comp_apply, ← SheafedSpace.comp_c_app',
       SheafedSpace.congr_app (coequalizer.condition f.1 g.1), comp_apply,
       X.toRingedSpace.basicOpen_res]
@@ -220,7 +220,7 @@ theorem imageBasicOpen_image_open :
   erw [← coe_comp]
   rw [PreservesCoequalizer.iso_hom, ι_comp_coequalizerComparison]
   dsimp only [SheafedSpace.forget]
-  -- Porting note: change `rw` to `erw`
+  -- Porting note (#11224): change `rw` to `erw`
   erw [imageBasicOpen_image_preimage]
   exact (imageBasicOpen f g U s).2
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.image_basic_open_image_open AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open
@@ -249,7 +249,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   rw [← isUnit_map_iff ((coequalizer.π f.val g.val : _).c.app _), ← comp_apply,
     NatTrans.naturality, comp_apply, TopCat.Presheaf.pushforwardObj_map, ←
     isUnit_map_iff (Y.presheaf.map (eqToHom hV').op)]
-  -- Porting note: change `rw` to `erw`
+  -- Porting note (#11224): change `rw` to `erw`
   erw [← comp_apply, ← comp_apply, ← Y.presheaf.map_comp]
   convert @RingedSpace.isUnit_res_basicOpen Y.toRingedSpace (unop _)
       (((coequalizer.π f.val g.val).c.app (op U)) s)

Classifies by adding issue number #10754 to porting notes claiming anything semantically equivalent to:

• "added instance"
• "new instance"
• "adding instance"
• "had to add this instance manually"

@@ -149,7 +149,7 @@ instance coequalizer_π_app_isLocalRingHom
   rw [← PreservesCoequalizer.iso_hom] at this
   erw [SheafedSpace.congr_app this.symm (op U)]
   rw [PresheafedSpace.comp_c_app, ← PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_hom_π]
-  -- Porting note: this instance has to be manually added
+  -- Porting note (#10754): this instance has to be manually added
   haveI : IsIso (PreservesCoequalizer.iso SheafedSpace.forgetToPresheafedSpace f.val g.val).hom.c :=
     PresheafedSpace.c_isIso_of_iso _
   infer_instance

In this pull request, I have systematically eliminated the leading whitespace preceding the colon (:) within all unlabelled or unclassified porting notes. This adjustment facilitates a more efficient review process for the remaining notes by ensuring no entries are overlooked due to formatting inconsistencies.

@@ -38,7 +38,7 @@ theorem isColimit_exists_rep {c : Cocone F} (hc : IsColimit c) (x : c.pt) :
   Concrete.isColimit_exists_rep (F ⋙ forget C) (isColimitOfPreserves (forget C) hc) x
 #align algebraic_geometry.SheafedSpace.is_colimit_exists_rep AlgebraicGeometry.SheafedSpaceₓ.isColimit_exists_rep
 
--- Porting note : argument `C` of colimit need to be made explicit, odd
+-- Porting note: argument `C` of colimit need to be made explicit, odd
 theorem colimit_exists_rep (x : colimit (C := SheafedSpace C) F) :
     ∃ (i : J) (y : F.obj i), (colimit.ι F i).base y = x :=
   Concrete.isColimit_exists_rep (F ⋙ SheafedSpace.forget C)
@@ -59,7 +59,7 @@ namespace LocallyRingedSpace
 section HasCoproducts
 
 variable {ι : Type u} (F : Discrete ι ⥤ LocallyRingedSpace.{u})
--- Porting note : in this section, I marked `CommRingCat` as `CommRingCatMax.{u,u}`
+-- Porting note: in this section, I marked `CommRingCat` as `CommRingCatMax.{u,u}`
 -- This is a hack to avoid the following:
 /-
 ```
@@ -149,7 +149,7 @@ instance coequalizer_π_app_isLocalRingHom
   rw [← PreservesCoequalizer.iso_hom] at this
   erw [SheafedSpace.congr_app this.symm (op U)]
   rw [PresheafedSpace.comp_c_app, ← PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_hom_π]
-  -- Porting note : this instance has to be manually added
+  -- Porting note: this instance has to be manually added
   haveI : IsIso (PreservesCoequalizer.iso SheafedSpace.forgetToPresheafedSpace f.val g.val).hom.c :=
     PresheafedSpace.c_isIso_of_iso _
   infer_instance
@@ -188,7 +188,7 @@ theorem imageBasicOpen_image_preimage :
     (coequalizer.π f.1 g.1).base ⁻¹' ((coequalizer.π f.1 g.1).base '' (imageBasicOpen f g U s).1) =
       (imageBasicOpen f g U s).1 := by
   fapply Types.coequalizer_preimage_image_eq_of_preimage_eq
-    -- Porting note : Type of `f.1.base` and `g.1.base` needs to be explicit
+    -- Porting note: Type of `f.1.base` and `g.1.base` needs to be explicit
     (f.1.base : X.carrier.1 ⟶ Y.carrier.1) (g.1.base : X.carrier.1 ⟶ Y.carrier.1)
   · ext
     simp_rw [types_comp_apply, ← TopCat.comp_app, ← PresheafedSpace.comp_base]
@@ -204,7 +204,7 @@ theorem imageBasicOpen_image_preimage :
     delta imageBasicOpen
     rw [preimage_basicOpen f, preimage_basicOpen g]
     dsimp only [Functor.op, unop_op]
-    -- Porting note : change `rw` to `erw`
+    -- Porting note: change `rw` to `erw`
     erw [← comp_apply, ← SheafedSpace.comp_c_app', ← comp_apply, ← SheafedSpace.comp_c_app',
       SheafedSpace.congr_app (coequalizer.condition f.1 g.1), comp_apply,
       X.toRingedSpace.basicOpen_res]
@@ -220,7 +220,7 @@ theorem imageBasicOpen_image_open :
   erw [← coe_comp]
   rw [PreservesCoequalizer.iso_hom, ι_comp_coequalizerComparison]
   dsimp only [SheafedSpace.forget]
-  -- Porting note : change `rw` to `erw`
+  -- Porting note: change `rw` to `erw`
   erw [imageBasicOpen_image_preimage]
   exact (imageBasicOpen f g U s).2
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.image_basic_open_image_open AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.imageBasicOpen_image_open
@@ -249,7 +249,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
   rw [← isUnit_map_iff ((coequalizer.π f.val g.val : _).c.app _), ← comp_apply,
     NatTrans.naturality, comp_apply, TopCat.Presheaf.pushforwardObj_map, ←
     isUnit_map_iff (Y.presheaf.map (eqToHom hV').op)]
-  -- Porting note : change `rw` to `erw`
+  -- Porting note: change `rw` to `erw`
   erw [← comp_apply, ← comp_apply, ← Y.presheaf.map_comp]
   convert @RingedSpace.isUnit_res_basicOpen Y.toRingedSpace (unop _)
       (((coequalizer.π f.val g.val).c.app (op U)) s)
@@ -270,7 +270,7 @@ noncomputable def coequalizer : LocallyRingedSpace where
 /-- The explicit coequalizer cofork of locally ringed spaces. -/
 noncomputable def coequalizerCofork : Cofork f g :=
   @Cofork.ofπ _ _ _ _ f g (coequalizer f g) ⟨coequalizer.π f.1 g.1,
-    -- Porting note : this used to be automatic
+    -- Porting note: this used to be automatic
     HasCoequalizer.coequalizer_π_stalk_isLocalRingHom _ _⟩
     (LocallyRingedSpace.Hom.ext _ _ (coequalizer.condition f.1 g.1))
 #align algebraic_geometry.LocallyRingedSpace.coequalizer_cofork AlgebraicGeometry.LocallyRingedSpace.coequalizerCofork
@@ -290,7 +290,7 @@ noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g)
   · intro x
     rcases (TopCat.epi_iff_surjective (coequalizer.π f.val g.val).base).mp inferInstance x with
       ⟨y, rfl⟩
-    -- Porting note : was `apply isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap ...)`, this
+    -- Porting note: was `apply isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap ...)`, this
     -- used to allow you to provide the proof that `... ≫ ...` is a local ring homomorphism later,
     -- but this is no longer possible
     set h := _
@@ -324,7 +324,7 @@ instance : HasCoequalizers LocallyRingedSpace :=
 noncomputable instance preservesCoequalizer :
     PreservesColimitsOfShape WalkingParallelPair forgetToSheafedSpace.{v} :=
   ⟨fun {F} => by
-    -- Porting note : was `apply preservesColimitOfIsoDiagram ...` and the proof that preservation
+    -- Porting note: was `apply preservesColimitOfIsoDiagram ...` and the proof that preservation
     -- of colimit is provided later
     suffices PreservesColimit (parallelPair (F.map WalkingParallelPairHom.left)
         (F.map WalkingParallelPairHom.right)) forgetToSheafedSpace from

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -295,8 +295,8 @@ noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g)
     -- but this is no longer possible
     set h := _
     change IsLocalRingHom h
-    suffices : IsLocalRingHom ((PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _).comp h)
-    · apply isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _)
+    suffices IsLocalRingHom ((PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _).comp h) from
+      isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _)
     change IsLocalRingHom (_ ≫ PresheafedSpace.stalkMap (coequalizerCofork f g).π.val y)
     erw [← PresheafedSpace.stalkMap.comp]
     apply isLocalRingHom_stalkMap_congr _ _ (coequalizer.π_desc s.π.1 e).symm y
@@ -326,9 +326,9 @@ noncomputable instance preservesCoequalizer :
   ⟨fun {F} => by
     -- Porting note : was `apply preservesColimitOfIsoDiagram ...` and the proof that preservation
     -- of colimit is provided later
-    suffices : PreservesColimit (parallelPair (F.map WalkingParallelPairHom.left)
-      (F.map WalkingParallelPairHom.right)) forgetToSheafedSpace
-    · apply preservesColimitOfIsoDiagram _ (diagramIsoParallelPair F).symm
+    suffices PreservesColimit (parallelPair (F.map WalkingParallelPairHom.left)
+        (F.map WalkingParallelPairHom.right)) forgetToSheafedSpace from
+      preservesColimitOfIsoDiagram _ (diagramIsoParallelPair F).symm
     apply preservesColimitOfPreservesColimitCocone (coequalizerCoforkIsColimit _ _)
     apply (isColimitMapCoconeCoforkEquiv _ _).symm _
     dsimp only [forgetToSheafedSpace]

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -148,7 +148,7 @@ instance coequalizer_π_app_isLocalRingHom
   have := ι_comp_coequalizerComparison f.1 g.1 SheafedSpace.forgetToPresheafedSpace
   rw [← PreservesCoequalizer.iso_hom] at this
   erw [SheafedSpace.congr_app this.symm (op U)]
-  rw [PresheafedSpace.comp_c_app, ←PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_hom_π]
+  rw [PresheafedSpace.comp_c_app, ← PresheafedSpace.colimitPresheafObjIsoComponentwiseLimit_hom_π]
   -- Porting note : this instance has to be manually added
   haveI : IsIso (PreservesCoequalizer.iso SheafedSpace.forgetToPresheafedSpace f.val g.val).hom.c :=
     PresheafedSpace.c_isIso_of_iso _
@@ -215,7 +215,7 @@ theorem imageBasicOpen_image_preimage :
 
 theorem imageBasicOpen_image_open :
     IsOpen ((coequalizer.π f.1 g.1).base '' (imageBasicOpen f g U s).1) := by
-  rw [←(TopCat.homeoOfIso (PreservesCoequalizer.iso (SheafedSpace.forget _) f.1
+  rw [← (TopCat.homeoOfIso (PreservesCoequalizer.iso (SheafedSpace.forget _) f.1
     g.1)).isOpen_preimage, TopCat.coequalizer_isOpen_iff, ← Set.preimage_comp]
   erw [← coe_comp]
   rw [PreservesCoequalizer.iso_hom, ι_comp_coequalizerComparison]

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -250,7 +250,7 @@ instance coequalizer_π_stalk_isLocalRingHom (x : Y) :
     NatTrans.naturality, comp_apply, TopCat.Presheaf.pushforwardObj_map, ←
     isUnit_map_iff (Y.presheaf.map (eqToHom hV').op)]
   -- Porting note : change `rw` to `erw`
-  erw [← comp_apply, ← comp_apply, Category.assoc, ← Y.presheaf.map_comp]
+  erw [← comp_apply, ← comp_apply, ← Y.presheaf.map_comp]
   convert @RingedSpace.isUnit_res_basicOpen Y.toRingedSpace (unop _)
       (((coequalizer.π f.val g.val).c.app (op U)) s)
 #align algebraic_geometry.LocallyRingedSpace.has_coequalizer.coequalizer_π_stalk_is_local_ring_hom AlgebraicGeometry.LocallyRingedSpace.HasCoequalizer.coequalizer_π_stalk_isLocalRingHom

Create new folder Geometry.RingedSpace for (locally) ringed spaces and move about half of the contents of AlgebraicGeometry there. Files renamed:

AlgebraicGeometry.OpenImmersion.Scheme → AlgebraicGeometry.OpenImmersion
AlgebraicGeometry.RingedSpace → Geometry.RingedSpace.Basic
AlgebraicGeometry.LocallyRingedSpace → Geometry.RingedSpace.LocallyRingedSpace
AlgebraicGeometry.LocallyRingedSpace.HasColimits → Geometry.RingedSpace.LocallyRingedSpace.HasColimits
AlgebraicGeometry.OpenImmersion.Basic → Geometry.RingedSpace.OpenImmersion
AlgebraicGeometry.PresheafedSpace → Geometry.RingedSpace.PresheafedSpace
AlgebraicGeometry.PresheafedSpace.Gluing → Geometry.RingedSpace.PresheafedSpace.Gluing
AlgebraicGeometry.PresheafedSpace.HasColimits → Geometry.RingedSpace.PresheafedSpace.HasColimits
AlgebraicGeometry.SheafedSpace → Geometry.RingedSpace.SheafedSpace
AlgebraicGeometry.Stalks → Geometry.RingedSpace.Stalks

See Zulip.

@@ -3,9 +3,9 @@ Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathlib.AlgebraicGeometry.LocallyRingedSpace
+import Mathlib.Geometry.RingedSpace.LocallyRingedSpace
 import Mathlib.Algebra.Category.Ring.Constructions
-import Mathlib.AlgebraicGeometry.OpenImmersion.Basic
+import Mathlib.Geometry.RingedSpace.OpenImmersion
 import Mathlib.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
 #align_import algebraic_geometry.locally_ringed_space.has_colimits from "leanprover-community/mathlib"@"533f62f4dd62a5aad24a04326e6e787c8f7e98b1"

• depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module algebraic_geometry.locally_ringed_space.has_colimits
-! leanprover-community/mathlib commit 533f62f4dd62a5aad24a04326e6e787c8f7e98b1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicGeometry.LocallyRingedSpace
 import Mathlib.Algebra.Category.Ring.Constructions
 import Mathlib.AlgebraicGeometry.OpenImmersion.Basic
 import Mathlib.CategoryTheory.Limits.Constructions.LimitsOfProductsAndEqualizers
 
+#align_import algebraic_geometry.locally_ringed_space.has_colimits from "leanprover-community/mathlib"@"533f62f4dd62a5aad24a04326e6e787c8f7e98b1"
+
 /-!
 # Colimits of LocallyRingedSpace
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -134,7 +134,7 @@ noncomputable instance (J : Type _) :
     PreservesColimitsOfShape (Discrete.{u} J) forgetToSheafedSpace.{u} :=
   ⟨fun {G} =>
     preservesColimitOfPreservesColimitCocone (coproductCofanIsColimit G)
-      ((colimit.isColimit  (C := SheafedSpace.{u+1, u, u} CommRingCatMax.{u, u}) _).ofIsoColimit
+      ((colimit.isColimit (C := SheafedSpace.{u+1, u, u} CommRingCatMax.{u, u}) _).ofIsoColimit
         (Cocones.ext (Iso.refl _) fun _ => Category.comp_id _))⟩
 
 end HasCoproducts

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -299,7 +299,7 @@ noncomputable def coequalizerCoforkIsColimit : IsColimit (coequalizerCofork f g)
     set h := _
     change IsLocalRingHom h
     suffices : IsLocalRingHom ((PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _).comp h)
-    . apply isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _)
+    · apply isLocalRingHom_of_comp _ (PresheafedSpace.stalkMap (coequalizerCofork f g).π.1 _)
     change IsLocalRingHom (_ ≫ PresheafedSpace.stalkMap (coequalizerCofork f g).π.val y)
     erw [← PresheafedSpace.stalkMap.comp]
     apply isLocalRingHom_stalkMap_congr _ _ (coequalizer.π_desc s.π.1 e).symm y
@@ -331,7 +331,7 @@ noncomputable instance preservesCoequalizer :
     -- of colimit is provided later
     suffices : PreservesColimit (parallelPair (F.map WalkingParallelPairHom.left)
       (F.map WalkingParallelPairHom.right)) forgetToSheafedSpace
-    . apply preservesColimitOfIsoDiagram _ (diagramIsoParallelPair F).symm
+    · apply preservesColimitOfIsoDiagram _ (diagramIsoParallelPair F).symm
     apply preservesColimitOfPreservesColimitCocone (coequalizerCoforkIsColimit _ _)
     apply (isColimitMapCoconeCoforkEquiv _ _).symm _
     dsimp only [forgetToSheafedSpace]

Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -130,10 +130,12 @@ noncomputable def coproductCofanIsColimit : IsColimit (coproductCofan F) where
 instance : HasCoproducts.{u} LocallyRingedSpace.{u} := fun _ =>
   ⟨fun F => ⟨⟨⟨_, coproductCofanIsColimit F⟩⟩⟩⟩
 
-noncomputable instance (J : Type _) : PreservesColimitsOfShape (Discrete J) forgetToSheafedSpace :=
+noncomputable instance (J : Type _) :
+    PreservesColimitsOfShape (Discrete.{u} J) forgetToSheafedSpace.{u} :=
   ⟨fun {G} =>
     preservesColimitOfPreservesColimitCocone (coproductCofanIsColimit G)
-      ((colimit.isColimit _).ofIsoColimit (Cocones.ext (Iso.refl _) fun _ => Category.comp_id _))⟩
+      ((colimit.isColimit  (C := SheafedSpace.{u+1, u, u} CommRingCatMax.{u, u}) _).ofIsoColimit
+        (Cocones.ext (Iso.refl _) fun _ => Category.comp_id _))⟩
 
 end HasCoproducts
 
@@ -341,7 +343,8 @@ end HasCoequalizer
 instance : HasColimits LocallyRingedSpace :=
   has_colimits_of_hasCoequalizers_and_coproducts
 
-noncomputable instance : PreservesColimits LocallyRingedSpace.forgetToSheafedSpace :=
+noncomputable instance preservesColimits_forgetToSheafedSpace :
+    PreservesColimits LocallyRingedSpace.forgetToSheafedSpace.{u} :=
   preservesColimitsOfPreservesCoequalizersAndCoproducts _
 
 end LocallyRingedSpace