topology.continuous_function.units | 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

a148d797

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

6b31d1ee

bump to nightly-2023-10-21-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/b1abe23ae96fef89ad30d9f4362c307f72a55010

a2dc86f8

Diff

@@ -116,9 +116,9 @@ theorem isUnit_iff_forall_ne_zero (f : C(X, 𝕜)) : IsUnit f ↔ ∀ x, f x ≠
 theorem spectrum_eq_range (f : C(X, 𝕜)) : spectrum 𝕜 f = Set.range f :=
   by
   ext
-  simp only [spectrum.mem_iff, is_unit_iff_forall_ne_zero, not_forall, coe_sub, Pi.sub_apply,
-    algebraMap_apply, Algebra.id.smul_eq_mul, mul_one, Classical.not_not, Set.mem_range,
-    sub_eq_zero, @eq_comm _ x _]
+  simp only [spectrum.mem_iff, is_unit_iff_forall_ne_zero, Classical.not_forall, coe_sub,
+    Pi.sub_apply, algebraMap_apply, Algebra.id.smul_eq_mul, mul_one, Classical.not_not,
+    Set.mem_range, sub_eq_zero, @eq_comm _ x _]
 #align continuous_map.spectrum_eq_range ContinuousMap.spectrum_eq_range
 -/

6b31d1ee

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
 -/
-import Mathbin.Analysis.NormedSpace.Units
-import Mathbin.Algebra.Algebra.Spectrum
-import Mathbin.Topology.ContinuousFunction.Algebra
+import Analysis.NormedSpace.Units
+import Algebra.Algebra.Spectrum
+import Topology.ContinuousFunction.Algebra
 
 #align_import topology.continuous_function.units from "leanprover-community/mathlib"@"6b31d1eebd64eab86d5bd9936bfaada6ca8b5842"

6b31d1ee

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
-
-! This file was ported from Lean 3 source module topology.continuous_function.units
-! leanprover-community/mathlib commit 6b31d1eebd64eab86d5bd9936bfaada6ca8b5842
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Units
 import Mathbin.Algebra.Algebra.Spectrum
 import Mathbin.Topology.ContinuousFunction.Algebra
 
+#align_import topology.continuous_function.units from "leanprover-community/mathlib"@"6b31d1eebd64eab86d5bd9936bfaada6ca8b5842"
+
 /-!
 # Units of continuous functions

6b31d1ee

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -31,6 +31,7 @@ section Monoid
 
 variable [Monoid M] [TopologicalSpace M] [ContinuousMul M]
 
+#print ContinuousMap.unitsLift /-
 /-- Equivalence between continuous maps into the units of a monoid with continuous multiplication
 and the units of the monoid of continuous maps. -/
 @[to_additive
@@ -54,6 +55,7 @@ def unitsLift : C(X, Mˣ) ≃ C(X, M)ˣ
   right_inv f := by ext; rfl
 #align continuous_map.units_lift ContinuousMap.unitsLift
 #align continuous_map.add_units_lift ContinuousMap.addUnitsLift
+-/
 
 end Monoid
 
@@ -61,6 +63,7 @@ section NormedRing
 
 variable [NormedRing R] [CompleteSpace R]
 
+#print ContinuousMap.continuous_isUnit_unit /-
 theorem ContinuousMap.continuous_isUnit_unit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
     Continuous fun x => (h x).Unit :=
   by
@@ -72,7 +75,9 @@ theorem ContinuousMap.continuous_isUnit_unit {f : C(X, R)} (h : ∀ x, IsUnit (f
   simp only [← Ring.inverse_unit, IsUnit.unit_spec, ← Function.comp_apply] at this ⊢
   exact this.comp (f.continuous_at x)
 #align normed_ring.is_unit_unit_continuous ContinuousMap.continuous_isUnit_unit
+-/
 
+#print ContinuousMap.unitsOfForallIsUnit /-
 /-- Construct a continuous map into the group of units of a normed ring from a function into the
 normed ring and a proof that every element of the range is a unit. -/
 @[simps]
@@ -81,17 +86,22 @@ noncomputable def unitsOfForallIsUnit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
   toFun x := (h x).Unit
   continuous_toFun := ContinuousMap.continuous_isUnit_unit h
 #align continuous_map.units_of_forall_is_unit ContinuousMap.unitsOfForallIsUnit
+-/
 
+#print ContinuousMap.canLift /-
 instance canLift :
     CanLift C(X, R) C(X, Rˣ) (fun f => ⟨fun x => f x, Units.continuous_val.comp f.Continuous⟩)
       fun f => ∀ x, IsUnit (f x)
     where prf f h := ⟨unitsOfForallIsUnit h, by ext; rfl⟩
 #align continuous_map.can_lift ContinuousMap.canLift
+-/
 
+#print ContinuousMap.isUnit_iff_forall_isUnit /-
 theorem isUnit_iff_forall_isUnit (f : C(X, R)) : IsUnit f ↔ ∀ x, IsUnit (f x) :=
   Iff.intro (fun h => fun x => ⟨unitsLift.symm h.Unit x, rfl⟩) fun h =>
     ⟨(unitsOfForallIsUnit h).unitsLift, by ext; rfl⟩
 #align continuous_map.is_unit_iff_forall_is_unit ContinuousMap.isUnit_iff_forall_isUnit
+-/
 
 end NormedRing
 
@@ -99,10 +109,13 @@ section NormedField
 
 variable [NormedField 𝕜] [CompleteSpace 𝕜]
 
+#print ContinuousMap.isUnit_iff_forall_ne_zero /-
 theorem isUnit_iff_forall_ne_zero (f : C(X, 𝕜)) : IsUnit f ↔ ∀ x, f x ≠ 0 := by
   simp_rw [f.is_unit_iff_forall_is_unit, isUnit_iff_ne_zero]
 #align continuous_map.is_unit_iff_forall_ne_zero ContinuousMap.isUnit_iff_forall_ne_zero
+-/
 
+#print ContinuousMap.spectrum_eq_range /-
 theorem spectrum_eq_range (f : C(X, 𝕜)) : spectrum 𝕜 f = Set.range f :=
   by
   ext
@@ -110,6 +123,7 @@ theorem spectrum_eq_range (f : C(X, 𝕜)) : spectrum 𝕜 f = Set.range f :=
     algebraMap_apply, Algebra.id.smul_eq_mul, mul_one, Classical.not_not, Set.mem_range,
     sub_eq_zero, @eq_comm _ x _]
 #align continuous_map.spectrum_eq_range ContinuousMap.spectrum_eq_range
+-/
 
 end NormedField

6b31d1ee

bump to nightly-2023-06-10-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

e13a28eb

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
 
 ! This file was ported from Lean 3 source module topology.continuous_function.units
-! leanprover-community/mathlib commit a148d797a1094ab554ad4183a4ad6f130358ef64
+! leanprover-community/mathlib commit 6b31d1eebd64eab86d5bd9936bfaada6ca8b5842
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Topology.ContinuousFunction.Algebra
 /-!
 # Units of continuous functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file concerns itself with `C(X, M)ˣ` and `C(X, Mˣ)` when `X` is a topological space
 and `M` has some monoid structure compatible with its topology.
 -/

a148d797

bump to nightly-2023-06-08-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

50cb46e3

Diff

@@ -58,7 +58,7 @@ section NormedRing
 
 variable [NormedRing R] [CompleteSpace R]
 
-theorem NormedRing.isUnit_unit_continuous {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
+theorem ContinuousMap.continuous_isUnit_unit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
     Continuous fun x => (h x).Unit :=
   by
   refine'
@@ -68,7 +68,7 @@ theorem NormedRing.isUnit_unit_continuous {f : C(X, R)} (h : ∀ x, IsUnit (f x)
   have := NormedRing.inverse_continuousAt (h x).Unit
   simp only [← Ring.inverse_unit, IsUnit.unit_spec, ← Function.comp_apply] at this ⊢
   exact this.comp (f.continuous_at x)
-#align normed_ring.is_unit_unit_continuous NormedRing.isUnit_unit_continuous
+#align normed_ring.is_unit_unit_continuous ContinuousMap.continuous_isUnit_unit
 
 /-- Construct a continuous map into the group of units of a normed ring from a function into the
 normed ring and a proof that every element of the range is a unit. -/
@@ -76,7 +76,7 @@ normed ring and a proof that every element of the range is a unit. -/
 noncomputable def unitsOfForallIsUnit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) : C(X, Rˣ)
     where
   toFun x := (h x).Unit
-  continuous_toFun := NormedRing.isUnit_unit_continuous h
+  continuous_toFun := ContinuousMap.continuous_isUnit_unit h
 #align continuous_map.units_of_forall_is_unit ContinuousMap.unitsOfForallIsUnit
 
 instance canLift :

a148d797

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -66,7 +66,7 @@ theorem NormedRing.isUnit_unit_continuous {f : C(X, R)} (h : ∀ x, IsUnit (f x)
       (Continuous.prod_mk f.continuous
         (mul_opposite.continuous_op.comp (continuous_iff_continuous_at.mpr fun x => _)))
   have := NormedRing.inverse_continuousAt (h x).Unit
-  simp only [← Ring.inverse_unit, IsUnit.unit_spec, ← Function.comp_apply] at this⊢
+  simp only [← Ring.inverse_unit, IsUnit.unit_spec, ← Function.comp_apply] at this ⊢
   exact this.comp (f.continuous_at x)
 #align normed_ring.is_unit_unit_continuous NormedRing.isUnit_unit_continuous

a148d797

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -47,12 +47,8 @@ def unitsLift : C(X, Mˣ) ≃ C(X, M)ˣ
         continuous_induced_rng.2 <|
           Continuous.prod_mk (f : C(X, M)).Continuous <|
             MulOpposite.continuous_op.comp (↑f⁻¹ : C(X, M)).Continuous }
-  left_inv f := by
-    ext
-    rfl
-  right_inv f := by
-    ext
-    rfl
+  left_inv f := by ext; rfl
+  right_inv f := by ext; rfl
 #align continuous_map.units_lift ContinuousMap.unitsLift
 #align continuous_map.add_units_lift ContinuousMap.addUnitsLift
 
@@ -86,17 +82,12 @@ noncomputable def unitsOfForallIsUnit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
 instance canLift :
     CanLift C(X, R) C(X, Rˣ) (fun f => ⟨fun x => f x, Units.continuous_val.comp f.Continuous⟩)
       fun f => ∀ x, IsUnit (f x)
-    where prf f h :=
-    ⟨unitsOfForallIsUnit h, by
-      ext
-      rfl⟩
+    where prf f h := ⟨unitsOfForallIsUnit h, by ext; rfl⟩
 #align continuous_map.can_lift ContinuousMap.canLift
 
 theorem isUnit_iff_forall_isUnit (f : C(X, R)) : IsUnit f ↔ ∀ x, IsUnit (f x) :=
   Iff.intro (fun h => fun x => ⟨unitsLift.symm h.Unit x, rfl⟩) fun h =>
-    ⟨(unitsOfForallIsUnit h).unitsLift, by
-      ext
-      rfl⟩
+    ⟨(unitsOfForallIsUnit h).unitsLift, by ext; rfl⟩
 #align continuous_map.is_unit_iff_forall_is_unit ContinuousMap.isUnit_iff_forall_isUnit
 
 end NormedRing

a148d797

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

a148d797

feat(Analysis/SpecificLimits/Normed): generalize to division rings (#12164)

4e7ba671

Diff

@@ -103,17 +103,23 @@ end NormedRing
 
 section NormedField
 
-variable [NormedField 𝕜] [CompleteSpace 𝕜]
+variable [NormedField 𝕜] [NormedDivisionRing R] [Algebra 𝕜 R] [CompleteSpace R]
 
-theorem isUnit_iff_forall_ne_zero (f : C(X, 𝕜)) : IsUnit f ↔ ∀ x, f x ≠ 0 := by
+theorem isUnit_iff_forall_ne_zero (f : C(X, R)) : IsUnit f ↔ ∀ x, f x ≠ 0 := by
   simp_rw [f.isUnit_iff_forall_isUnit, isUnit_iff_ne_zero]
 #align continuous_map.is_unit_iff_forall_ne_zero ContinuousMap.isUnit_iff_forall_ne_zero
 
-theorem spectrum_eq_range (f : C(X, 𝕜)) : spectrum 𝕜 f = Set.range f := by
+theorem spectrum_eq_preimage_range (f : C(X, R)) :
+    spectrum 𝕜 f = algebraMap _ _ ⁻¹' Set.range f := by
   ext x
-  simp only [spectrum.mem_iff, isUnit_iff_forall_ne_zero, not_forall, coe_sub, Pi.sub_apply,
-    algebraMap_apply, Algebra.id.smul_eq_mul, mul_one, Classical.not_not, Set.mem_range,
-    sub_eq_zero, @eq_comm _ x _]
+  simp only [spectrum.mem_iff, isUnit_iff_forall_ne_zero, not_forall, sub_apply,
+    algebraMap_apply, mul_one, Classical.not_not, Set.mem_range,
+    sub_eq_zero, @eq_comm _ (x • 1 : R) _, Set.mem_preimage, Algebra.algebraMap_eq_smul_one,
+    smul_apply, one_apply]
+
+theorem spectrum_eq_range [CompleteSpace 𝕜] (f : C(X, 𝕜)) : spectrum 𝕜 f = Set.range f := by
+  rw [spectrum_eq_preimage_range, Algebra.id.map_eq_id]
+  exact Set.preimage_id
 #align continuous_map.spectrum_eq_range ContinuousMap.spectrum_eq_range
 
 end NormedField

a148d797

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -27,7 +27,7 @@ variable [Monoid M] [TopologicalSpace M] [ContinuousMul M]
 
 /-- Equivalence between continuous maps into the units of a monoid with continuous multiplication
 and the units of the monoid of continuous maps. -/
--- porting note: `simps` made bad `simp` lemmas (LHS simplifies) so we add them manually below
+-- Porting note: `simps` made bad `simp` lemmas (LHS simplifies) so we add them manually below
 @[to_additive (attr := simps apply_val_apply symm_apply_apply_val)
 "Equivalence between continuous maps into the additive units of an additive monoid with continuous
 addition and the additive units of the additive monoid of continuous maps."]
@@ -49,13 +49,13 @@ def unitsLift : C(X, Mˣ) ≃ C(X, M)ˣ where
 #align continuous_map.units_lift ContinuousMap.unitsLift
 #align continuous_map.add_units_lift ContinuousMap.addUnitsLift
 
--- porting note: add manually because `simps` used `inv` and `simpNF` complained
+-- Porting note: add manually because `simps` used `inv` and `simpNF` complained
 @[to_additive (attr := simp)]
 lemma unitsLift_apply_inv_apply (f : C(X, Mˣ)) (x : X) :
     (↑(ContinuousMap.unitsLift f)⁻¹ : C(X, M)) x = (f x)⁻¹ :=
   rfl
 
--- porting note: add manually because `simps` used `inv` and `simpNF` complained
+-- Porting note: add manually because `simps` used `inv` and `simpNF` complained
 @[to_additive (attr := simp)]
 lemma unitsLift_symm_apply_apply_inv' (f : C(X, M)ˣ) (x : X) :
     (ContinuousMap.unitsLift.symm f x)⁻¹ = (↑f⁻¹ : C(X, M)) x := by
@@ -78,7 +78,7 @@ theorem continuous_isUnit_unit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
   simp only [← Ring.inverse_unit, IsUnit.unit_spec] at this ⊢
   exact this.comp (f.continuousAt x)
 #align normed_ring.is_unit_unit_continuous ContinuousMap.continuous_isUnit_unit
--- porting note: this had the worst namespace: `NormedRing`
+-- Porting note: this had the worst namespace: `NormedRing`
 
 /-- Construct a continuous map into the group of units of a normed ring from a function into the
 normed ring and a proof that every element of the range is a unit. -/

a148d797

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -90,8 +90,8 @@ noncomputable def unitsOfForallIsUnit {f : C(X, R)} (h : ∀ x, IsUnit (f x)) :
 
 instance canLift :
     CanLift C(X, R) C(X, Rˣ) (fun f => ⟨fun x => f x, Units.continuous_val.comp f.continuous⟩)
-      fun f => ∀ x, IsUnit (f x)
-    where prf f h := ⟨unitsOfForallIsUnit h, by ext; rfl⟩
+      fun f => ∀ x, IsUnit (f x) where
+  prf f h := ⟨unitsOfForallIsUnit h, by ext; rfl⟩
 #align continuous_map.can_lift ContinuousMap.canLift
 
 theorem isUnit_iff_forall_isUnit (f : C(X, R)) : IsUnit f ↔ ∀ x, IsUnit (f x) :=

a148d797

chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

32de3f67

Diff

@@ -17,7 +17,7 @@ and `M` has some monoid structure compatible with its topology.
 -/
 
 
-variable {X M R 𝕜 : Type _} [TopologicalSpace X]
+variable {X M R 𝕜 : Type*} [TopologicalSpace X]
 
 namespace ContinuousMap

a148d797

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Jireh Loreaux. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
-
-! This file was ported from Lean 3 source module topology.continuous_function.units
-! leanprover-community/mathlib commit a148d797a1094ab554ad4183a4ad6f130358ef64
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.Units
 import Mathlib.Algebra.Algebra.Spectrum
 import Mathlib.Topology.ContinuousFunction.Algebra
 
+#align_import topology.continuous_function.units from "leanprover-community/mathlib"@"a148d797a1094ab554ad4183a4ad6f130358ef64"
+
 /-!
 # Units of continuous functions

a148d797

feat: port Topology.ContinuousFunction.Units (#4818)

76deb42c

`topology.continuous_function.units` ⟷ `Mathlib.Topology.ContinuousFunction.Units`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 636

topology.continuous_function.units ⟷ Mathlib.Topology.ContinuousFunction.Units

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 636

`topology.continuous_function.units` ⟷ `Mathlib.Topology.ContinuousFunction.Units`