algebraic_geometry.limits | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

d0b19368

bump to nightly-2023-10-05-06

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

e028a08c

Diff

@@ -96,7 +96,7 @@ instance : IsEmpty Scheme.empty.carrier :=
 
 #print AlgebraicGeometry.spec_punit_isEmpty /-
 instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
-  ⟨PrimeSpectrum.punit⟩
+  ⟨PrimeSpectrum.pUnit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 -/

d0b19368

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathbin.AlgebraicGeometry.Pullbacks
-import Mathbin.AlgebraicGeometry.AffineScheme
+import AlgebraicGeometry.Pullbacks
+import AlgebraicGeometry.AffineScheme
 
 #align_import algebraic_geometry.limits from "leanprover-community/mathlib"@"d0b1936853671209a866fa35b9e54949c81116e2"

d0b19368

bump to nightly-2023-08-31-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ffde2d8a6e689149e44fd95fa862c23a57f8c780

8d006b5f

Diff

@@ -96,7 +96,7 @@ instance : IsEmpty Scheme.empty.carrier :=
 
 #print AlgebraicGeometry.spec_punit_isEmpty /-
 instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
-  ⟨PrimeSpectrum.pUnit⟩
+  ⟨PrimeSpectrum.punit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 -/

d0b19368

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.limits
-! leanprover-community/mathlib commit d0b1936853671209a866fa35b9e54949c81116e2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicGeometry.Pullbacks
 import Mathbin.AlgebraicGeometry.AffineScheme
 
+#align_import algebraic_geometry.limits from "leanprover-community/mathlib"@"d0b1936853671209a866fa35b9e54949c81116e2"
+
 /-!
 # (Co)Limits of Schemes

d0b19368

bump to nightly-2023-07-04-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/728ef9dbb281241906f25cbeb30f90d83e0bb451

05318d71

Diff

@@ -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.limits
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit d0b1936853671209a866fa35b9e54949c81116e2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.AlgebraicGeometry.AffineScheme
 /-!
 # (Co)Limits of Schemes
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We construct various limits and colimits in the category of schemes.
 
 * The existence of fibred products was shown in `algebraic_geometry/pullbacks.lean`.

70fd9563

bump to nightly-2023-07-01-17

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

a0c14df7

Diff

@@ -94,14 +94,14 @@ theorem emptyIsInitial_to : emptyIsInitial.to = Scheme.emptyTo :=
 instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
-#print AlgebraicGeometry.spec_pUnit_isEmpty /-
-instance spec_pUnit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
+#print AlgebraicGeometry.spec_punit_isEmpty /-
+instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
   ⟨PrimeSpectrum.pUnit⟩
-#align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_pUnit_isEmpty
+#align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 -/
 
-#print AlgebraicGeometry.isOpenImmersionCat_of_isEmpty /-
-instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
+#print AlgebraicGeometry.isOpenImmersion_of_isEmpty /-
+instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
     [IsEmpty X.carrier] : IsOpenImmersionCat f :=
   by
   apply (config := { instances := false }) is_open_immersion.of_stalk_iso
@@ -111,7 +111,7 @@ instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X 
     · intro U hU; convert isOpen_empty; ext; apply (iff_false_iff _).mpr
       exact fun x => isEmptyElim (show X.carrier from x.some)
   · rintro (i : X.carrier); exact isEmptyElim i
-#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersionCat_of_isEmpty
+#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty
 -/
 
 #print AlgebraicGeometry.isIso_of_isEmpty /-

70fd9563

bump to nightly-2023-06-29-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

3f019939

Diff

@@ -34,11 +34,13 @@ open CategoryTheory CategoryTheory.Limits Opposite TopologicalSpace
 
 namespace AlgebraicGeometry
 
+#print AlgebraicGeometry.specZIsTerminal /-
 /-- `Spec ℤ` is the terminal object in the category of schemes. -/
 noncomputable def specZIsTerminal : IsTerminal (Scheme.Spec.obj (op <| CommRingCat.of ℤ)) :=
   @IsTerminal.isTerminalObj _ _ Scheme.Spec _ inferInstance
     (terminalOpOfInitial CommRingCat.zIsInitial)
 #align algebraic_geometry.Spec_Z_is_terminal AlgebraicGeometry.specZIsTerminal
+-/
 
 instance : HasTerminal Scheme :=
   hasTerminal_of_hasTerminal_of_preservesLimit Scheme.Spec
@@ -51,41 +53,54 @@ instance : HasFiniteLimits Scheme :=
 
 section Initial
 
+#print AlgebraicGeometry.Scheme.emptyTo /-
 /-- The map from the empty scheme. -/
 @[simps]
 def Scheme.emptyTo (X : Scheme.{u}) : ∅ ⟶ X :=
   ⟨{  base := ⟨fun x => PEmpty.elim x, by continuity⟩
       c := { app := fun U => CommRingCat.punitIsTerminal.from _ } }, fun x => PEmpty.elim x⟩
 #align algebraic_geometry.Scheme.empty_to AlgebraicGeometry.Scheme.emptyTo
+-/
 
+#print AlgebraicGeometry.Scheme.empty_ext /-
 @[ext]
 theorem Scheme.empty_ext {X : Scheme.{u}} (f g : ∅ ⟶ X) : f = g := by ext a; exact PEmpty.elim a
 #align algebraic_geometry.Scheme.empty_ext AlgebraicGeometry.Scheme.empty_ext
+-/
 
+#print AlgebraicGeometry.Scheme.eq_emptyTo /-
 theorem Scheme.eq_emptyTo {X : Scheme.{u}} (f : ∅ ⟶ X) : f = Scheme.emptyTo X :=
   Scheme.empty_ext f (Scheme.emptyTo X)
 #align algebraic_geometry.Scheme.eq_empty_to AlgebraicGeometry.Scheme.eq_emptyTo
+-/
 
 instance (X : Scheme.{u}) : Unique (∅ ⟶ X) :=
   ⟨⟨Scheme.emptyTo _⟩, fun _ => Scheme.empty_ext _ _⟩
 
+#print AlgebraicGeometry.emptyIsInitial /-
 /-- The empty scheme is the initial object in the category of schemes. -/
 def emptyIsInitial : IsInitial (∅ : Scheme.{u}) :=
   IsInitial.ofUnique _
 #align algebraic_geometry.empty_is_initial AlgebraicGeometry.emptyIsInitial
+-/
 
+#print AlgebraicGeometry.emptyIsInitial_to /-
 @[simp]
 theorem emptyIsInitial_to : emptyIsInitial.to = Scheme.emptyTo :=
   rfl
 #align algebraic_geometry.empty_is_initial_to AlgebraicGeometry.emptyIsInitial_to
+-/
 
 instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
+#print AlgebraicGeometry.spec_pUnit_isEmpty /-
 instance spec_pUnit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
   ⟨PrimeSpectrum.pUnit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_pUnit_isEmpty
+-/
 
+#print AlgebraicGeometry.isOpenImmersionCat_of_isEmpty /-
 instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
     [IsEmpty X.carrier] : IsOpenImmersionCat f :=
   by
@@ -97,7 +112,9 @@ instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X 
       exact fun x => isEmptyElim (show X.carrier from x.some)
   · rintro (i : X.carrier); exact isEmptyElim i
 #align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersionCat_of_isEmpty
+-/
 
+#print AlgebraicGeometry.isIso_of_isEmpty /-
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f :=
   by
@@ -106,35 +123,46 @@ instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpt
     exact isEmptyElim x
   apply is_open_immersion.to_iso
 #align algebraic_geometry.is_iso_of_is_empty AlgebraicGeometry.isIso_of_isEmpty
+-/
 
+#print AlgebraicGeometry.isInitialOfIsEmpty /-
 /-- A scheme is initial if its underlying space is empty . -/
 noncomputable def isInitialOfIsEmpty {X : Scheme} [IsEmpty X.carrier] : IsInitial X :=
   emptyIsInitial.of_iso (asIso <| emptyIsInitial.to _)
 #align algebraic_geometry.is_initial_of_is_empty AlgebraicGeometry.isInitialOfIsEmpty
+-/
 
+#print AlgebraicGeometry.specPunitIsInitial /-
 /-- `Spec 0` is the initial object in the category of schemes. -/
 noncomputable def specPunitIsInitial : IsInitial (Scheme.Spec.obj (op <| CommRingCat.of PUnit)) :=
   emptyIsInitial.of_iso (asIso <| emptyIsInitial.to _)
 #align algebraic_geometry.Spec_punit_is_initial AlgebraicGeometry.specPunitIsInitial
+-/
 
+#print AlgebraicGeometry.isAffine_of_isEmpty /-
 instance (priority := 100) isAffine_of_isEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
   isAffineOfIso
     (inv (emptyIsInitial.to X) ≫ emptyIsInitial.to (Scheme.Spec.obj (op <| CommRingCat.of PUnit)))
 #align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffine_of_isEmpty
+-/
 
 instance : HasInitial Scheme :=
   hasInitial_of_unique Scheme.empty
 
+#print AlgebraicGeometry.initial_isEmpty /-
 instance initial_isEmpty : IsEmpty (⊥_ Scheme).carrier :=
   ⟨fun x => ((initial.to Scheme.empty : _).1.base x).elim⟩
 #align algebraic_geometry.initial_is_empty AlgebraicGeometry.initial_isEmpty
+-/
 
+#print AlgebraicGeometry.bot_isAffineOpen /-
 theorem bot_isAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) :=
   by
   convert range_is_affine_open_of_open_immersion (initial.to X)
   ext
   exact (false_iff_iff _).mpr fun x => isEmptyElim (show (⊥_ Scheme).carrier from x.some)
 #align algebraic_geometry.bot_is_affine_open AlgebraicGeometry.bot_isAffineOpen
+-/
 
 instance : HasStrictInitialObjects Scheme :=
   hasStrictInitialObjects_of_initial_is_strict fun A f => by infer_instance

70fd9563

bump to nightly-2023-06-29-11

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9

bde99ec0

Diff

@@ -117,10 +117,10 @@ noncomputable def specPunitIsInitial : IsInitial (Scheme.Spec.obj (op <| CommRin
   emptyIsInitial.of_iso (asIso <| emptyIsInitial.to _)
 #align algebraic_geometry.Spec_punit_is_initial AlgebraicGeometry.specPunitIsInitial
 
-instance (priority := 100) isAffineOfIsEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
+instance (priority := 100) isAffine_of_isEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
   isAffineOfIso
     (inv (emptyIsInitial.to X) ≫ emptyIsInitial.to (Scheme.Spec.obj (op <| CommRingCat.of PUnit)))
-#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffineOfIsEmpty
+#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffine_of_isEmpty
 
 instance : HasInitial Scheme :=
   hasInitial_of_unique Scheme.empty
@@ -129,12 +129,12 @@ instance initial_isEmpty : IsEmpty (⊥_ Scheme).carrier :=
   ⟨fun x => ((initial.to Scheme.empty : _).1.base x).elim⟩
 #align algebraic_geometry.initial_is_empty AlgebraicGeometry.initial_isEmpty
 
-theorem botIsAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) :=
+theorem bot_isAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) :=
   by
   convert range_is_affine_open_of_open_immersion (initial.to X)
   ext
   exact (false_iff_iff _).mpr fun x => isEmptyElim (show (⊥_ Scheme).carrier from x.some)
-#align algebraic_geometry.bot_is_affine_open AlgebraicGeometry.botIsAffineOpen
+#align algebraic_geometry.bot_is_affine_open AlgebraicGeometry.bot_isAffineOpen
 
 instance : HasStrictInitialObjects Scheme :=
   hasStrictInitialObjects_of_initial_is_strict fun A f => by infer_instance

70fd9563

bump to nightly-2023-06-22-19

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

d370f1be

Diff

@@ -86,8 +86,8 @@ instance spec_pUnit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUn
   ⟨PrimeSpectrum.pUnit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_pUnit_isEmpty
 
-instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
-    [IsEmpty X.carrier] : IsOpenImmersion f :=
+instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
+    [IsEmpty X.carrier] : IsOpenImmersionCat f :=
   by
   apply (config := { instances := false }) is_open_immersion.of_stalk_iso
   · apply openEmbedding_of_continuous_injective_open
@@ -96,7 +96,7 @@ instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶
     · intro U hU; convert isOpen_empty; ext; apply (iff_false_iff _).mpr
       exact fun x => isEmptyElim (show X.carrier from x.some)
   · rintro (i : X.carrier); exact isEmptyElim i
-#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty
+#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersionCat_of_isEmpty
 
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f :=

70fd9563

bump to nightly-2023-06-18-23

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

3b5e23dc

Diff

@@ -35,16 +35,16 @@ open CategoryTheory CategoryTheory.Limits Opposite TopologicalSpace
 namespace AlgebraicGeometry
 
 /-- `Spec ℤ` is the terminal object in the category of schemes. -/
-noncomputable def specZIsTerminal : IsTerminal (Scheme.spec.obj (op <| CommRingCat.of ℤ)) :=
-  @IsTerminal.isTerminalObj _ _ Scheme.spec _ inferInstance
+noncomputable def specZIsTerminal : IsTerminal (Scheme.Spec.obj (op <| CommRingCat.of ℤ)) :=
+  @IsTerminal.isTerminalObj _ _ Scheme.Spec _ inferInstance
     (terminalOpOfInitial CommRingCat.zIsInitial)
 #align algebraic_geometry.Spec_Z_is_terminal AlgebraicGeometry.specZIsTerminal
 
 instance : HasTerminal Scheme :=
-  hasTerminal_of_hasTerminal_of_preservesLimit Scheme.spec
+  hasTerminal_of_hasTerminal_of_preservesLimit Scheme.Spec
 
 instance : IsAffine (⊤_ Scheme.{u}) :=
-  isAffine_of_iso (PreservesTerminal.iso Scheme.spec).inv
+  isAffineOfIso (PreservesTerminal.iso Scheme.Spec).inv
 
 instance : HasFiniteLimits Scheme :=
   hasFiniteLimits_of_hasTerminal_and_pullbacks
@@ -82,7 +82,7 @@ theorem emptyIsInitial_to : emptyIsInitial.to = Scheme.emptyTo :=
 instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
-instance spec_pUnit_isEmpty : IsEmpty (Scheme.spec.obj (op <| CommRingCat.of PUnit)).carrier :=
+instance spec_pUnit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
   ⟨PrimeSpectrum.pUnit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_pUnit_isEmpty
 
@@ -113,14 +113,14 @@ noncomputable def isInitialOfIsEmpty {X : Scheme} [IsEmpty X.carrier] : IsInitia
 #align algebraic_geometry.is_initial_of_is_empty AlgebraicGeometry.isInitialOfIsEmpty
 
 /-- `Spec 0` is the initial object in the category of schemes. -/
-noncomputable def specPunitIsInitial : IsInitial (Scheme.spec.obj (op <| CommRingCat.of PUnit)) :=
+noncomputable def specPunitIsInitial : IsInitial (Scheme.Spec.obj (op <| CommRingCat.of PUnit)) :=
   emptyIsInitial.of_iso (asIso <| emptyIsInitial.to _)
 #align algebraic_geometry.Spec_punit_is_initial AlgebraicGeometry.specPunitIsInitial
 
-instance (priority := 100) isAffine_of_isEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
-  isAffine_of_iso
-    (inv (emptyIsInitial.to X) ≫ emptyIsInitial.to (Scheme.spec.obj (op <| CommRingCat.of PUnit)))
-#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffine_of_isEmpty
+instance (priority := 100) isAffineOfIsEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
+  isAffineOfIso
+    (inv (emptyIsInitial.to X) ≫ emptyIsInitial.to (Scheme.Spec.obj (op <| CommRingCat.of PUnit)))
+#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffineOfIsEmpty
 
 instance : HasInitial Scheme :=
   hasInitial_of_unique Scheme.empty

70fd9563

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -59,10 +59,7 @@ def Scheme.emptyTo (X : Scheme.{u}) : ∅ ⟶ X :=
 #align algebraic_geometry.Scheme.empty_to AlgebraicGeometry.Scheme.emptyTo
 
 @[ext]
-theorem Scheme.empty_ext {X : Scheme.{u}} (f g : ∅ ⟶ X) : f = g :=
-  by
-  ext a
-  exact PEmpty.elim a
+theorem Scheme.empty_ext {X : Scheme.{u}} (f g : ∅ ⟶ X) : f = g := by ext a; exact PEmpty.elim a
 #align algebraic_geometry.Scheme.empty_ext AlgebraicGeometry.Scheme.empty_ext
 
 theorem Scheme.eq_emptyTo {X : Scheme.{u}} (f : ∅ ⟶ X) : f = Scheme.emptyTo X :=
@@ -95,24 +92,17 @@ instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶
   apply (config := { instances := false }) is_open_immersion.of_stalk_iso
   · apply openEmbedding_of_continuous_injective_open
     · continuity
-    · rintro (i : X.carrier)
-      exact isEmptyElim i
-    · intro U hU
-      convert isOpen_empty
-      ext
-      apply (iff_false_iff _).mpr
+    · rintro (i : X.carrier); exact isEmptyElim i
+    · intro U hU; convert isOpen_empty; ext; apply (iff_false_iff _).mpr
       exact fun x => isEmptyElim (show X.carrier from x.some)
-  · rintro (i : X.carrier)
-    exact isEmptyElim i
+  · rintro (i : X.carrier); exact isEmptyElim i
 #align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty
 
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f :=
   by
   haveI : IsEmpty X.carrier := ⟨fun x => isEmptyElim (show Y.carrier from f.1.base x)⟩
-  have : epi f.1.base := by
-    rw [TopCat.epi_iff_surjective]
-    rintro (x : Y.carrier)
+  have : epi f.1.base := by rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier);
     exact isEmptyElim x
   apply is_open_immersion.to_iso
 #align algebraic_geometry.is_iso_of_is_empty AlgebraicGeometry.isIso_of_isEmpty

70fd9563

bump to nightly-2023-05-21-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

3dfd63e0

Diff

@@ -139,12 +139,12 @@ instance initial_isEmpty : IsEmpty (⊥_ Scheme).carrier :=
   ⟨fun x => ((initial.to Scheme.empty : _).1.base x).elim⟩
 #align algebraic_geometry.initial_is_empty AlgebraicGeometry.initial_isEmpty
 
-theorem bot_isAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) :=
+theorem botIsAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) :=
   by
   convert range_is_affine_open_of_open_immersion (initial.to X)
   ext
   exact (false_iff_iff _).mpr fun x => isEmptyElim (show (⊥_ Scheme).carrier from x.some)
-#align algebraic_geometry.bot_is_affine_open AlgebraicGeometry.bot_isAffineOpen
+#align algebraic_geometry.bot_is_affine_open AlgebraicGeometry.botIsAffineOpen
 
 instance : HasStrictInitialObjects Scheme :=
   hasStrictInitialObjects_of_initial_is_strict fun A f => by infer_instance

70fd9563

bump to nightly-2023-04-27-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

8f775de7

Diff

@@ -44,7 +44,7 @@ instance : HasTerminal Scheme :=
   hasTerminal_of_hasTerminal_of_preservesLimit Scheme.spec
 
 instance : IsAffine (⊤_ Scheme.{u}) :=
-  isAffineOfIso (PreservesTerminal.iso Scheme.spec).inv
+  isAffine_of_iso (PreservesTerminal.iso Scheme.spec).inv
 
 instance : HasFiniteLimits Scheme :=
   hasFiniteLimits_of_hasTerminal_and_pullbacks
@@ -127,10 +127,10 @@ noncomputable def specPunitIsInitial : IsInitial (Scheme.spec.obj (op <| CommRin
   emptyIsInitial.of_iso (asIso <| emptyIsInitial.to _)
 #align algebraic_geometry.Spec_punit_is_initial AlgebraicGeometry.specPunitIsInitial
 
-instance (priority := 100) isAffineOfIsEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
-  isAffineOfIso
+instance (priority := 100) isAffine_of_isEmpty {X : Scheme} [IsEmpty X.carrier] : IsAffine X :=
+  isAffine_of_iso
     (inv (emptyIsInitial.to X) ≫ emptyIsInitial.to (Scheme.spec.obj (op <| CommRingCat.of PUnit)))
-#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffineOfIsEmpty
+#align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffine_of_isEmpty
 
 instance : HasInitial Scheme :=
   hasInitial_of_unique Scheme.empty

70fd9563

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -47,7 +47,7 @@ instance : IsAffine (⊤_ Scheme.{u}) :=
   isAffineOfIso (PreservesTerminal.iso Scheme.spec).inv
 
 instance : HasFiniteLimits Scheme :=
-  hasFiniteLimitsOfHasTerminalAndPullbacks
+  hasFiniteLimits_of_hasTerminal_and_pullbacks
 
 section Initial

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

feat(Topology/Maps): add *.of_subsingleton and *.of_isEmpty (#11818)

Also use OpenEmbedding.of_subsingleton to golf AlgebraicGeometry.isOpenImmersion_of_isEmpty.

8667e5da

Diff

@@ -93,17 +93,13 @@ instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUn
 instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
     [IsEmpty X.carrier] : IsOpenImmersion f := by
   apply (config := { allowSynthFailures := true }) IsOpenImmersion.of_stalk_iso
-  · apply openEmbedding_of_continuous_injective_open
-    · continuity
-    · rintro (i : X.carrier); exact isEmptyElim i
-    · intro U _; convert isOpen_empty (X := Y); ext; rw [Set.mem_empty_iff_false, iff_false_iff]
-      exact fun x => isEmptyElim (show X.carrier from x.choose)
-  · rintro (i : X.carrier); exact isEmptyElim i
+  · exact .of_isEmpty (X := X.carrier) _
+  · intro (i : X.carrier); exact isEmptyElim i
 #align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty
 
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f := by
-  haveI : IsEmpty X.carrier := ⟨fun x => isEmptyElim (show Y.carrier from f.1.base x)⟩
+  haveI : IsEmpty X.carrier := f.1.base.1.isEmpty
   have : Epi f.1.base := by
     rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier)
     exact isEmptyElim x

70fd9563

style: reduce spacing variation in "porting note" comments (#10886)

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.

86b84c52

Diff

@@ -60,7 +60,7 @@ def Scheme.emptyTo (X : Scheme.{u}) : ∅ ⟶ X :=
 
 @[ext]
 theorem Scheme.empty_ext {X : Scheme.{u}} (f g : ∅ ⟶ X) : f = g :=
-  -- Porting note : `ext` regression
+  -- Porting note: `ext` regression
   -- see https://github.com/leanprover-community/mathlib4/issues/5229
   LocallyRingedSpace.Hom.ext _ _ <| PresheafedSpace.ext _ _ (by ext a; exact PEmpty.elim a) <|
     NatTrans.ext _ _ <| funext fun a => by aesop_cat
@@ -126,7 +126,7 @@ instance (priority := 100) isAffine_of_isEmpty {X : Scheme} [IsEmpty X.carrier]
 #align algebraic_geometry.is_affine_of_is_empty AlgebraicGeometry.isAffine_of_isEmpty
 
 instance : HasInitial Scheme :=
-  -- Porting note : this instance was not needed
+  -- Porting note: this instance was not needed
   haveI : (Y : Scheme) → Unique (Scheme.empty ⟶ Y) := Scheme.hom_unique_of_empty_source
   hasInitial_of_unique Scheme.empty
 
@@ -137,7 +137,7 @@ instance initial_isEmpty : IsEmpty (⊥_ Scheme).carrier :=
 theorem bot_isAffineOpen (X : Scheme) : IsAffineOpen (⊥ : Opens X.carrier) := by
   convert rangeIsAffineOpenOfOpenImmersion (initial.to X)
   ext
-  -- Porting note : added this `erw` to turn LHS to `False`
+  -- Porting note: added this `erw` to turn LHS to `False`
   erw [Set.mem_empty_iff_false]
   rw [false_iff_iff]
   exact fun x => isEmptyElim (show (⊥_ Scheme).carrier from x.choose)

70fd9563

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

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>

a13e8040

Diff

@@ -104,8 +104,8 @@ instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f := by
   haveI : IsEmpty X.carrier := ⟨fun x => isEmptyElim (show Y.carrier from f.1.base x)⟩
-  have : Epi f.1.base
-  · rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier)
+  have : Epi f.1.base := by
+    rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier)
     exact isEmptyElim x
   apply IsOpenImmersion.to_iso
 #align algebraic_geometry.is_iso_of_is_empty AlgebraicGeometry.isIso_of_isEmpty

70fd9563

chore(Topology/Basic): rename variables (#9956)

Use X, Y, Z for topological spaces.

6694f75a

Diff

@@ -96,7 +96,7 @@ instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶
   · apply openEmbedding_of_continuous_injective_open
     · continuity
     · rintro (i : X.carrier); exact isEmptyElim i
-    · intro U _; convert isOpen_empty (α := Y); ext; rw [Set.mem_empty_iff_false, iff_false_iff]
+    · intro U _; convert isOpen_empty (X := Y); ext; rw [Set.mem_empty_iff_false, iff_false_iff]
       exact fun x => isEmptyElim (show X.carrier from x.choose)
   · rintro (i : X.carrier); exact isEmptyElim i
 #align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty

70fd9563

feat: use suppress_compilation in tensor products (#7504)

More principled version of #7281.

9ff5b6f1

Diff

@@ -24,6 +24,8 @@ We construct various limits and colimits in the category of schemes.
 
 -/
 
+suppress_compilation
+
 set_option linter.uppercaseLean3 false
 
 universe u

70fd9563

feat: some golfing in AlgebraicGeometry.PrimeSpectrum.Basic (#7373)

7d196414

Diff

@@ -85,7 +85,7 @@ instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
 instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
-  ⟨PrimeSpectrum.punit⟩
+  inferInstanceAs <| IsEmpty (PrimeSpectrum PUnit)
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 
 instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)

70fd9563

chore: tidy various files (#6577)

837c4ae2

Diff

@@ -85,7 +85,7 @@ instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
 instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
-  ⟨PrimeSpectrum.pUnit⟩
+  ⟨PrimeSpectrum.punit⟩
 #align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 
 instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)

70fd9563

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 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.limits
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicGeometry.Pullbacks
 import Mathlib.AlgebraicGeometry.AffineScheme
 
+#align_import algebraic_geometry.limits from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # (Co)Limits of Schemes

70fd9563

chore: fix focusing dots (#5708)

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.

cb02d09e

Diff

@@ -106,7 +106,7 @@ instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpt
     IsIso f := by
   haveI : IsEmpty X.carrier := ⟨fun x => isEmptyElim (show Y.carrier from f.1.base x)⟩
   have : Epi f.1.base
-  . rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier)
+  · rw [TopCat.epi_iff_surjective]; rintro (x : Y.carrier)
     exact isEmptyElim x
   apply IsOpenImmersion.to_iso
 #align algebraic_geometry.is_iso_of_is_empty AlgebraicGeometry.isIso_of_isEmpty

70fd9563

feat: port AlgebraicGeometry.Morphisms.QuasiCompact (#5642)

Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com>

c156373e

Diff

@@ -95,9 +95,7 @@ instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶
     [IsEmpty X.carrier] : IsOpenImmersion f := by
   apply (config := { allowSynthFailures := true }) IsOpenImmersion.of_stalk_iso
   · apply openEmbedding_of_continuous_injective_open
-    -- Porting note : `continuity` failed
-    -- see https://github.com/leanprover-community/mathlib4/issues/5030
-    · exact f.1.base.2
+    · continuity
     · rintro (i : X.carrier); exact isEmptyElim i
     · intro U _; convert isOpen_empty (α := Y); ext; rw [Set.mem_empty_iff_false, iff_false_iff]
       exact fun x => isEmptyElim (show X.carrier from x.choose)

70fd9563

chore: tidy various files (#5628)

3282e2f7

Diff

@@ -16,7 +16,7 @@ import Mathlib.AlgebraicGeometry.AffineScheme
 
 We construct various limits and colimits in the category of schemes.
 
-* The existence of fibred products was shown in `algebraic_geometry/pullbacks.lean`.
+* The existence of fibred products was shown in `Mathlib/AlgebraicGeometry/Pullbacks.lean`.
 * `Spec ℤ` is the terminal object.
 * The preceding two results imply that `Scheme` has all finite limits.
 * The empty scheme is the (strict) initial object.
@@ -87,11 +87,11 @@ theorem emptyIsInitial_to : emptyIsInitial.to = Scheme.emptyTo :=
 instance : IsEmpty Scheme.empty.carrier :=
   show IsEmpty PEmpty by infer_instance
 
-instance spec_pUnit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
+instance spec_punit_isEmpty : IsEmpty (Scheme.Spec.obj (op <| CommRingCat.of PUnit)).carrier :=
   ⟨PrimeSpectrum.pUnit⟩
-#align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_pUnit_isEmpty
+#align algebraic_geometry.Spec_punit_is_empty AlgebraicGeometry.spec_punit_isEmpty
 
-instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
+instance (priority := 100) isOpenImmersion_of_isEmpty {X Y : Scheme} (f : X ⟶ Y)
     [IsEmpty X.carrier] : IsOpenImmersion f := by
   apply (config := { allowSynthFailures := true }) IsOpenImmersion.of_stalk_iso
   · apply openEmbedding_of_continuous_injective_open
@@ -102,7 +102,7 @@ instance (priority := 100) isOpenImmersionCat_of_isEmpty {X Y : Scheme} (f : X 
     · intro U _; convert isOpen_empty (α := Y); ext; rw [Set.mem_empty_iff_false, iff_false_iff]
       exact fun x => isEmptyElim (show X.carrier from x.choose)
   · rintro (i : X.carrier); exact isEmptyElim i
-#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersionCat_of_isEmpty
+#align algebraic_geometry.is_open_immersion_of_is_empty AlgebraicGeometry.isOpenImmersion_of_isEmpty
 
 instance (priority := 100) isIso_of_isEmpty {X Y : Scheme} (f : X ⟶ Y) [IsEmpty Y.carrier] :
     IsIso f := by

70fd9563

feat: port AlgebraicGeometry.Limits (#5598)

2693807d

`algebraic_geometry.limits` ⟷ `Mathlib.AlgebraicGeometry.Limits`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 932

algebraic_geometry.limits ⟷ Mathlib.AlgebraicGeometry.Limits

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 932

`algebraic_geometry.limits` ⟷ `Mathlib.AlgebraicGeometry.Limits`