linear_algebra.clifford_algebra.star
⟷
Mathlib.LinearAlgebra.CliffordAlgebra.Star
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.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
-import Mathbin.LinearAlgebra.CliffordAlgebra.Conjugation
+import LinearAlgebra.CliffordAlgebra.Conjugation
#align_import linear_algebra.clifford_algebra.star from "leanprover-community/mathlib"@"fdc286cc6967a012f41b87f76dcd2797b53152af"
mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504
@@ -41,7 +41,7 @@ instance : StarRing (CliffordAlgebra Q)
unit x := reverse (involute x)
star_involutive x := by
simp only [reverse_involute_commute.eq, reverse_reverse, involute_involute]
- star_mul x y := by simp only [map_mul, reverse.map_mul]
+ star_hMul x y := by simp only [map_mul, reverse.map_mul]
star_add x y := by simp only [map_add]
#print CliffordAlgebra.star_def /-
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module linear_algebra.clifford_algebra.star
-! leanprover-community/mathlib commit fdc286cc6967a012f41b87f76dcd2797b53152af
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.LinearAlgebra.CliffordAlgebra.Conjugation
+#align_import linear_algebra.clifford_algebra.star from "leanprover-community/mathlib"@"fdc286cc6967a012f41b87f76dcd2797b53152af"
+
/-!
# Star structure on `clifford_algebra`
mathlib commit https://github.com/leanprover-community/mathlib/commit/fdc286cc6967a012f41b87f76dcd2797b53152af
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
! This file was ported from Lean 3 source module linear_algebra.clifford_algebra.star
-! leanprover-community/mathlib commit 4d66277cfec381260ba05c68f9ae6ce2a118031d
+! leanprover-community/mathlib commit fdc286cc6967a012f41b87f76dcd2797b53152af
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.LinearAlgebra.CliffordAlgebra.Conjugation
/-!
# Star structure on `clifford_algebra`
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This file defines the "clifford conjugation", equal to `reverse (involute x)`, and assigns it the
`star` notation.
mathlib commit https://github.com/leanprover-community/mathlib/commit/d30d31261cdb4d2f5e612eabc3c4bf45556350d5
@@ -44,18 +44,25 @@ instance : StarRing (CliffordAlgebra Q)
star_mul x y := by simp only [map_mul, reverse.map_mul]
star_add x y := by simp only [map_add]
+#print CliffordAlgebra.star_def /-
theorem star_def (x : CliffordAlgebra Q) : star x = reverse (involute x) :=
rfl
#align clifford_algebra.star_def CliffordAlgebra.star_def
+-/
+#print CliffordAlgebra.star_def' /-
theorem star_def' (x : CliffordAlgebra Q) : star x = involute (reverse x) :=
reverse_involute _
#align clifford_algebra.star_def' CliffordAlgebra.star_def'
+-/
+#print CliffordAlgebra.star_ι /-
@[simp]
theorem star_ι (m : M) : star (ι Q m) = -ι Q m := by rw [star_def, involute_ι, map_neg, reverse_ι]
#align clifford_algebra.star_ι CliffordAlgebra.star_ι
+-/
+#print CliffordAlgebra.star_smul /-
/-- Note that this not match the `star_smul` implied by `star_module`; it certainly could if we
also conjugated all the scalars, but there appears to be nothing in the literature that advocates
doing this. -/
@@ -63,12 +70,15 @@ doing this. -/
theorem star_smul (r : R) (x : CliffordAlgebra Q) : star (r • x) = r • star x := by
rw [star_def, star_def, map_smul, map_smul]
#align clifford_algebra.star_smul CliffordAlgebra.star_smul
+-/
+#print CliffordAlgebra.star_algebraMap /-
@[simp]
theorem star_algebraMap (r : R) :
star (algebraMap R (CliffordAlgebra Q) r) = algebraMap R (CliffordAlgebra Q) r := by
rw [star_def, involute.commutes, reverse.commutes]
#align clifford_algebra.star_algebra_map CliffordAlgebra.star_algebraMap
+-/
end CliffordAlgebra
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)
@@ -26,9 +26,7 @@ Most results about `star` can be obtained by unfolding it via `CliffordAlgebra.s
variable {R : Type*} [CommRing R]
-
variable {M : Type*} [AddCommGroup M] [Module R M]
-
variable {Q : QuadraticForm R M}
namespace CliffordAlgebra
Q := Q
(#6780)
The removal of a FunLike instance for Module.Dual
made these unnecessary.
@@ -34,20 +34,17 @@ variable {Q : QuadraticForm R M}
namespace CliffordAlgebra
instance instStarRing : StarRing (CliffordAlgebra Q) where
- -- porting note: cannot infer `Q`
- star x := reverse (Q := Q) (involute x)
+ star x := reverse (involute x)
star_involutive x := by
simp only [reverse_involute_commute.eq, reverse_reverse, involute_involute]
star_mul x y := by simp only [map_mul, reverse.map_mul]
star_add x y := by simp only [map_add]
--- porting note: cannot infer `Q`
-theorem star_def (x : CliffordAlgebra Q) : star x = reverse (Q := Q) (involute x) :=
+theorem star_def (x : CliffordAlgebra Q) : star x = reverse (involute x) :=
rfl
#align clifford_algebra.star_def CliffordAlgebra.star_def
--- porting note: cannot infer `Q`
-theorem star_def' (x : CliffordAlgebra Q) : star x = involute (reverse (Q := Q) x) :=
+theorem star_def' (x : CliffordAlgebra Q) : star x = involute (reverse x) :=
reverse_involute _
#align clifford_algebra.star_def' CliffordAlgebra.star_def'
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -25,9 +25,9 @@ Most results about `star` can be obtained by unfolding it via `CliffordAlgebra.s
-/
-variable {R : Type _} [CommRing R]
+variable {R : Type*} [CommRing R]
-variable {M : Type _} [AddCommGroup M] [Module R M]
+variable {M : Type*} [AddCommGroup M] [Module R M]
variable {Q : QuadraticForm R M}
@@ -2,14 +2,11 @@
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module linear_algebra.clifford_algebra.star
-! leanprover-community/mathlib commit 4d66277cfec381260ba05c68f9ae6ce2a118031d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.LinearAlgebra.CliffordAlgebra.Conjugation
+#align_import linear_algebra.clifford_algebra.star from "leanprover-community/mathlib"@"4d66277cfec381260ba05c68f9ae6ce2a118031d"
+
/-!
# Star structure on `CliffordAlgebra`
@@ -23,7 +23,7 @@ Most results about `star` can be obtained by unfolding it via `CliffordAlgebra.s
## Main definitions
-* `clifford_algebra.star_ring`
+* `CliffordAlgebra.instStarRing`
-/
@@ -36,7 +36,7 @@ variable {Q : QuadraticForm R M}
namespace CliffordAlgebra
-instance : StarRing (CliffordAlgebra Q) where
+instance instStarRing : StarRing (CliffordAlgebra Q) where
-- porting note: cannot infer `Q`
star x := reverse (Q := Q) (involute x)
star_involutive x := by
The unported dependencies are