analysis.normed_space.star.exponential

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

1e320130

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

af471b9e

bump to nightly-2023-11-29-11

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

049e2cad

Diff

@@ -36,7 +36,8 @@ open Complex
 over ℂ. -/
 @[simps]
 noncomputable def selfAdjoint.expUnitary (a : selfAdjoint A) : unitary A :=
-  ⟨exp ℂ (I • a), exp_mem_unitary_of_mem_skewAdjoint _ (a.Prop.smul_mem_skewAdjoint conj_I)⟩
+  ⟨NormedSpace.exp ℂ (I • a),
+    NormedSpace.exp_mem_unitary_of_mem_skewAdjoint _ (a.Prop.smul_mem_skewAdjoint conj_I)⟩
 #align self_adjoint.exp_unitary selfAdjoint.expUnitary
 -/
 
@@ -50,7 +51,8 @@ theorem Commute.expUnitary_add {a b : selfAdjoint A} (h : Commute (a : A) (b : A
   have hcomm : Commute (I • (a : A)) (I • (b : A))
   calc
     _ = _ := by simp only [h.eq, Algebra.smul_mul_assoc, Algebra.mul_smul_comm]
-  simpa only [exp_unitary_coe, AddSubgroup.coe_add, smul_add] using exp_add_of_commute hcomm
+  simpa only [exp_unitary_coe, AddSubgroup.coe_add, smul_add] using
+    NormedSpace.exp_add_of_commute hcomm
 #align commute.exp_unitary_add Commute.expUnitary_add
 -/

af471b9e

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ 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.Exponential
+import Analysis.NormedSpace.Exponential
 
 #align_import analysis.normed_space.star.exponential from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"

af471b9e

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 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 analysis.normed_space.star.exponential
-! leanprover-community/mathlib commit af471b9e3ce868f296626d33189b4ce730fa4c00
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Exponential
 
+#align_import analysis.normed_space.star.exponential from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"
+
 /-! # The exponential map from selfadjoint to unitary
 
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.

af471b9e

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -34,15 +34,18 @@ variable {A : Type _} [NormedRing A] [NormedAlgebra ℂ A] [StarRing A] [Continu
 
 open Complex
 
+#print selfAdjoint.expUnitary /-
 /-- The map from the selfadjoint real subspace to the unitary group. This map only makes sense
 over ℂ. -/
 @[simps]
 noncomputable def selfAdjoint.expUnitary (a : selfAdjoint A) : unitary A :=
   ⟨exp ℂ (I • a), exp_mem_unitary_of_mem_skewAdjoint _ (a.Prop.smul_mem_skewAdjoint conj_I)⟩
 #align self_adjoint.exp_unitary selfAdjoint.expUnitary
+-/
 
 open selfAdjoint
 
+#print Commute.expUnitary_add /-
 theorem Commute.expUnitary_add {a b : selfAdjoint A} (h : Commute (a : A) (b : A)) :
     expUnitary (a + b) = expUnitary a * expUnitary b :=
   by
@@ -52,13 +55,16 @@ theorem Commute.expUnitary_add {a b : selfAdjoint A} (h : Commute (a : A) (b : A
     _ = _ := by simp only [h.eq, Algebra.smul_mul_assoc, Algebra.mul_smul_comm]
   simpa only [exp_unitary_coe, AddSubgroup.coe_add, smul_add] using exp_add_of_commute hcomm
 #align commute.exp_unitary_add Commute.expUnitary_add
+-/
 
+#print Commute.expUnitary /-
 theorem Commute.expUnitary {a b : selfAdjoint A} (h : Commute (a : A) (b : A)) :
     Commute (expUnitary a) (expUnitary b) :=
   calc
     expUnitary a * expUnitary b = expUnitary b * expUnitary a := by
       rw [← h.exp_unitary_add, ← h.symm.exp_unitary_add, add_comm]
 #align commute.exp_unitary Commute.expUnitary
+-/
 
 end Star

af471b9e

bump to nightly-2023-06-09-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

16afdc39

Diff

@@ -50,7 +50,6 @@ theorem Commute.expUnitary_add {a b : selfAdjoint A} (h : Commute (a : A) (b : A
   have hcomm : Commute (I • (a : A)) (I • (b : A))
   calc
     _ = _ := by simp only [h.eq, Algebra.smul_mul_assoc, Algebra.mul_smul_comm]
-    
   simpa only [exp_unitary_coe, AddSubgroup.coe_add, smul_add] using exp_add_of_commute hcomm
 #align commute.exp_unitary_add Commute.expUnitary_add
 
@@ -59,7 +58,6 @@ theorem Commute.expUnitary {a b : selfAdjoint A} (h : Commute (a : A) (b : A)) :
   calc
     expUnitary a * expUnitary b = expUnitary b * expUnitary a := by
       rw [← h.exp_unitary_add, ← h.symm.exp_unitary_add, add_comm]
-    
 #align commute.exp_unitary Commute.expUnitary
 
 end Star

af471b9e

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -4,13 +4,16 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jireh Loreaux
 
 ! This file was ported from Lean 3 source module analysis.normed_space.star.exponential
-! leanprover-community/mathlib commit 1e3201306d4d9eb1fd54c60d7c4510ad5126f6f9
+! leanprover-community/mathlib commit af471b9e3ce868f296626d33189b4ce730fa4c00
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.NormedSpace.Exponential
 
 /-! # The exponential map from selfadjoint to unitary
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 In this file, we establish various propreties related to the map `λ a, exp ℂ A (I • a)` between the
 subtypes `self_adjoint A` and `unitary A`.

1e320130

bump to nightly-2023-03-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2

d4b38a42

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 analysis.normed_space.star.exponential
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 1e3201306d4d9eb1fd54c60d7c4510ad5126f6f9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -31,20 +31,11 @@ variable {A : Type _} [NormedRing A] [NormedAlgebra ℂ A] [StarRing A] [Continu
 
 open Complex
 
-theorem IsSelfAdjoint.exp_i_smul_unitary {a : A} (ha : IsSelfAdjoint a) :
-    exp ℂ (I • a) ∈ unitary A := by
-  rw [unitary.mem_iff, star_exp]
-  simp only [star_smul, IsROrC.star_def, self_adjoint.mem_iff.mp ha, conj_I, neg_smul]
-  rw [← @exp_add_of_commute ℂ A _ _ _ _ _ _ (Commute.refl (I • a)).neg_left]
-  rw [← @exp_add_of_commute ℂ A _ _ _ _ _ _ (Commute.refl (I • a)).neg_right]
-  simpa only [add_right_neg, add_left_neg, and_self_iff] using (exp_zero : exp ℂ (0 : A) = 1)
-#align is_self_adjoint.exp_i_smul_unitary IsSelfAdjoint.exp_i_smul_unitary
-
 /-- The map from the selfadjoint real subspace to the unitary group. This map only makes sense
 over ℂ. -/
 @[simps]
 noncomputable def selfAdjoint.expUnitary (a : selfAdjoint A) : unitary A :=
-  ⟨exp ℂ (I • a), a.Prop.exp_i_smul_unitary⟩
+  ⟨exp ℂ (I • a), exp_mem_unitary_of_mem_skewAdjoint _ (a.Prop.smul_mem_skewAdjoint conj_I)⟩
 #align self_adjoint.exp_unitary selfAdjoint.expUnitary
 
 open selfAdjoint

70fd9563

bump to nightly-2023-03-10-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/ddec54a71a0dd025c05445d467f1a2b7d586a3ba

24f14899

Diff

@@ -32,7 +32,7 @@ variable {A : Type _} [NormedRing A] [NormedAlgebra ℂ A] [StarRing A] [Continu
 open Complex
 
 theorem IsSelfAdjoint.exp_i_smul_unitary {a : A} (ha : IsSelfAdjoint a) :
-    exp ℂ (i • a) ∈ unitary A := by
+    exp ℂ (I • a) ∈ unitary A := by
   rw [unitary.mem_iff, star_exp]
   simp only [star_smul, IsROrC.star_def, self_adjoint.mem_iff.mp ha, conj_I, neg_smul]
   rw [← @exp_add_of_commute ℂ A _ _ _ _ _ _ (Commute.refl (I • a)).neg_left]
@@ -44,7 +44,7 @@ theorem IsSelfAdjoint.exp_i_smul_unitary {a : A} (ha : IsSelfAdjoint a) :
 over ℂ. -/
 @[simps]
 noncomputable def selfAdjoint.expUnitary (a : selfAdjoint A) : unitary A :=
-  ⟨exp ℂ (i • a), a.Prop.exp_i_smul_unitary⟩
+  ⟨exp ℂ (I • a), a.Prop.exp_i_smul_unitary⟩
 #align self_adjoint.exp_unitary selfAdjoint.expUnitary
 
 open selfAdjoint

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

1e320130

chore(Analysis): fix mathlib3 names; automated fixes (#11950)

a8a6713b

Diff

@@ -20,7 +20,7 @@ between the subtypes `selfAdjoint A` and `unitary A`.
   unitaries.
 -/
 
-open NormedSpace -- For `exp`.
+open NormedSpace -- For `NormedSpace.exp`.
 
 section Star

1e320130

chore: replace Lean 3 syntax λ x, in doc comments (#10727)

Use Lean 4 syntax fun x ↦ instead, matching the style guide. This is close to exhaustive for doc comments; mathlib has about 460 remaining uses of λ (not all in Lean 3 syntax).

4a99b7e2

Diff

@@ -8,8 +8,8 @@ import Mathlib.Analysis.NormedSpace.Exponential
 #align_import analysis.normed_space.star.exponential from "leanprover-community/mathlib"@"1e3201306d4d9eb1fd54c60d7c4510ad5126f6f9"
 
 /-! # The exponential map from selfadjoint to unitary
-In this file, we establish various properties related to the map `λ a, exp ℂ A (I • a)` between the
-subtypes `selfAdjoint A` and `unitary A`.
+In this file, we establish various properties related to the map `fun a ↦ exp ℂ A (I • a)`
+between the subtypes `selfAdjoint A` and `unitary A`.
 
 ## TODO

1e320130

chore: exp -> NormedSpace.exp (#8436)

Per discussion at zulip

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

e4e3f2f5

Diff

@@ -20,6 +20,7 @@ subtypes `selfAdjoint A` and `unitary A`.
   unitaries.
 -/
 
+open NormedSpace -- For `exp`.
 
 section Star

1e320130

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

@@ -23,7 +23,7 @@ subtypes `selfAdjoint A` and `unitary A`.
 
 section Star
 
-variable {A : Type _} [NormedRing A] [NormedAlgebra ℂ A] [StarRing A] [ContinuousStar A]
+variable {A : Type*} [NormedRing A] [NormedAlgebra ℂ A] [StarRing A] [ContinuousStar A]
   [CompleteSpace A] [StarModule ℂ A]
 
 open Complex

1e320130

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

@@ -2,14 +2,11 @@
 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 analysis.normed_space.star.exponential
-! leanprover-community/mathlib commit 1e3201306d4d9eb1fd54c60d7c4510ad5126f6f9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.NormedSpace.Exponential
 
+#align_import analysis.normed_space.star.exponential from "leanprover-community/mathlib"@"1e3201306d4d9eb1fd54c60d7c4510ad5126f6f9"
+
 /-! # The exponential map from selfadjoint to unitary
 In this file, we establish various properties related to the map `λ a, exp ℂ A (I • a)` between the
 subtypes `selfAdjoint A` and `unitary A`.

1e320130

chore: fix many typos (#4967)

These are all doc fixes

6f9e51c3

Diff

@@ -11,7 +11,7 @@ Authors: Jireh Loreaux
 import Mathlib.Analysis.NormedSpace.Exponential
 
 /-! # The exponential map from selfadjoint to unitary
-In this file, we establish various propreties related to the map `λ a, exp ℂ A (I • a)` between the
+In this file, we establish various properties related to the map `λ a, exp ℂ A (I • a)` between the
 subtypes `selfAdjoint A` and `unitary A`.
 
 ## TODO

1e320130

feat: port Analysis.NormedSpace.Star.Exponential (#4587)

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

b2d5c97c

`analysis.normed_space.star.exponential` ⟷ `Mathlib.Analysis.NormedSpace.Star.Exponential`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 751

analysis.normed_space.star.exponential ⟷ Mathlib.Analysis.NormedSpace.Star.Exponential

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 751

`analysis.normed_space.star.exponential` ⟷ `Mathlib.Analysis.NormedSpace.Star.Exponential`