number_theory.class_number.function_field
⟷
Mathlib.NumberTheory.ClassNumber.FunctionField
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
@@ -3,9 +3,9 @@ Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
-import Mathbin.NumberTheory.ClassNumber.AdmissibleCardPowDegree
-import Mathbin.NumberTheory.ClassNumber.Finite
-import Mathbin.NumberTheory.FunctionField
+import NumberTheory.ClassNumber.AdmissibleCardPowDegree
+import NumberTheory.ClassNumber.Finite
+import NumberTheory.FunctionField
#align_import number_theory.class_number.function_field from "leanprover-community/mathlib"@"30faa0c3618ce1472bf6305ae0e3fa56affa3f95"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,16 +2,13 @@
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-
-! This file was ported from Lean 3 source module number_theory.class_number.function_field
-! leanprover-community/mathlib commit 30faa0c3618ce1472bf6305ae0e3fa56affa3f95
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.NumberTheory.ClassNumber.AdmissibleCardPowDegree
import Mathbin.NumberTheory.ClassNumber.Finite
import Mathbin.NumberTheory.FunctionField
+#align_import number_theory.class_number.function_field from "leanprover-community/mathlib"@"30faa0c3618ce1472bf6305ae0e3fa56affa3f95"
+
/-!
# Class numbers of function fields
mathlib commit https://github.com/leanprover-community/mathlib/commit/8b981918a93bc45a8600de608cde7944a80d92b9
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
! This file was ported from Lean 3 source module number_theory.class_number.function_field
-! leanprover-community/mathlib commit d0259b01c82eed3f50390a60404c63faf9e60b1f
+! leanprover-community/mathlib commit 30faa0c3618ce1472bf6305ae0e3fa56affa3f95
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -15,6 +15,9 @@ import Mathbin.NumberTheory.FunctionField
/-!
# Class numbers of function fields
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This file defines the class number of a function field as the (finite) cardinality of
the class group of its ring of integers. It also proves some elementary results
on the class number.
mathlib commit https://github.com/leanprover-community/mathlib/commit/93f880918cb51905fd51b76add8273cbc27718ab
@@ -50,16 +50,20 @@ noncomputable instance : Fintype (ClassGroup (ringOfIntegers Fq F)) :=
end RingOfIntegers
+#print FunctionField.classNumber /-
/-- The class number in a function field is the (finite) cardinality of the class group. -/
noncomputable def classNumber : ℕ :=
Fintype.card (ClassGroup (ringOfIntegers Fq F))
#align function_field.class_number FunctionField.classNumber
+-/
+#print FunctionField.classNumber_eq_one_iff /-
/-- The class number of a function field is `1` iff the ring of integers is a PID. -/
theorem classNumber_eq_one_iff :
classNumber Fq F = 1 ↔ IsPrincipalIdealRing (ringOfIntegers Fq F) :=
card_classGroup_eq_one_iff
#align function_field.class_number_eq_one_iff FunctionField.classNumber_eq_one_iff
+-/
end FunctionField
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -27,7 +27,7 @@ cardinality of the class group of its ring of integers
namespace FunctionField
-open Polynomial
+open scoped Polynomial
variable (Fq F : Type) [Field Fq] [Fintype Fq] [Field F]
@@ -37,7 +37,7 @@ variable [IsScalarTower Fq[X] (RatFunc Fq) F]
variable [FunctionField Fq F] [IsSeparable (RatFunc Fq) F]
-open Classical
+open scoped Classical
namespace RingOfIntegers
mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946
@@ -31,11 +31,11 @@ open Polynomial
variable (Fq F : Type) [Field Fq] [Fintype Fq] [Field F]
-variable [Algebra Fq[X] F] [Algebra (Ratfunc Fq) F]
+variable [Algebra Fq[X] F] [Algebra (RatFunc Fq) F]
-variable [IsScalarTower Fq[X] (Ratfunc Fq) F]
+variable [IsScalarTower Fq[X] (RatFunc Fq) F]
-variable [FunctionField Fq F] [IsSeparable (Ratfunc Fq) F]
+variable [FunctionField Fq F] [IsSeparable (RatFunc Fq) F]
open Classical
@@ -44,7 +44,7 @@ namespace RingOfIntegers
open FunctionField
noncomputable instance : Fintype (ClassGroup (ringOfIntegers Fq F)) :=
- ClassGroup.fintypeOfAdmissibleOfFinite (Ratfunc Fq) F
+ ClassGroup.fintypeOfAdmissibleOfFinite (RatFunc Fq) F
(Polynomial.cardPowDegreeIsAdmissible :
AbsoluteValue.IsAdmissible (Polynomial.cardPowDegree : AbsoluteValue Fq[X] ℤ))
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)
@@ -27,11 +27,8 @@ namespace FunctionField
open scoped Polynomial
variable (Fq F : Type) [Field Fq] [Fintype Fq] [Field F]
-
variable [Algebra Fq[X] F] [Algebra (RatFunc Fq) F]
-
variable [IsScalarTower Fq[X] (RatFunc Fq) F]
-
variable [FunctionField Fq F] [IsSeparable (RatFunc Fq) F]
open scoped Classical
@@ -2,16 +2,13 @@
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-
-! This file was ported from Lean 3 source module number_theory.class_number.function_field
-! leanprover-community/mathlib commit d0259b01c82eed3f50390a60404c63faf9e60b1f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.NumberTheory.ClassNumber.AdmissibleCardPowDegree
import Mathlib.NumberTheory.ClassNumber.Finite
import Mathlib.NumberTheory.FunctionField
+#align_import number_theory.class_number.function_field from "leanprover-community/mathlib"@"d0259b01c82eed3f50390a60404c63faf9e60b1f"
+
/-!
# Class numbers of function fields
The unported dependencies are
algebra.order.module
init.core
linear_algebra.free_module.finite.rank
algebra.order.monoid.cancel.defs
algebra.abs
algebra.group_power.lemmas
init.data.list.basic
linear_algebra.free_module.rank
algebra.order.monoid.cancel.basic
init.data.list.default
topology.subset_properties
init.logic
The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file