ring_theory.valuation.integralMathlib.RingTheory.Valuation.Integral

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -39,7 +39,7 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
   let ⟨p, hpm, hpx⟩ := hx
   le_of_not_lt fun hvx : 1 < v x =>
     by
-    rw [hpm.as_sum, eval₂_add, eval₂_pow, eval₂_X, eval₂_finset_sum, add_eq_zero_iff_eq_neg] at hpx 
+    rw [hpm.as_sum, eval₂_add, eval₂_pow, eval₂_X, eval₂_finset_sum, add_eq_zero_iff_eq_neg] at hpx
     replace hpx := congr_arg v hpx; refine' ne_of_gt _ hpx
     rw [v.map_neg, v.map_pow]
     refine' v.map_sum_lt' (zero_lt_one.trans_le (one_le_pow_of_one_le' hvx.le _)) fun i hi => _
Diff
@@ -46,8 +46,8 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
     rw [eval₂_mul, eval₂_pow, eval₂_C, eval₂_X, v.map_mul, v.map_pow, ←
       one_mul (v x ^ p.nat_degree)]
     cases' (hv.2 <| p.coeff i).lt_or_eq with hvpi hvpi
-    · exact mul_lt_mul₀ hvpi (pow_lt_pow₀ hvx <| Finset.mem_range.1 hi)
-    · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow₀ hvx (Finset.mem_range.1 hi)
+    · exact mul_lt_mul₀ hvpi (pow_lt_pow_right₀ hvx <| Finset.mem_range.1 hi)
+    · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow_right₀ hvx (Finset.mem_range.1 hi)
 #align valuation.integers.mem_of_integral Valuation.Integers.mem_of_integral
 -/
 
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
 -/
-import Mathbin.RingTheory.IntegrallyClosed
-import Mathbin.RingTheory.Valuation.Integers
+import RingTheory.IntegrallyClosed
+import RingTheory.Valuation.Integers
 
 #align_import ring_theory.valuation.integral from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
-
-! This file was ported from Lean 3 source module ring_theory.valuation.integral
-! 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.RingTheory.IntegrallyClosed
 import Mathbin.RingTheory.Valuation.Integers
 
+#align_import ring_theory.valuation.integral from "leanprover-community/mathlib"@"af471b9e3ce868f296626d33189b4ce730fa4c00"
+
 /-!
 # Integral elements over the ring of integers of a valution
 
Diff
@@ -35,10 +35,9 @@ variable {R : Type u} {Γ₀ : Type v} [CommRing R] [LinearOrderedCommGroupWithZ
 
 variable {v : Valuation R Γ₀} {O : Type w} [CommRing O] [Algebra O R] (hv : Integers v O)
 
-include hv
-
 open Polynomial
 
+#print Valuation.Integers.mem_of_integral /-
 theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
   let ⟨p, hpm, hpx⟩ := hx
   le_of_not_lt fun hvx : 1 < v x =>
@@ -53,12 +52,15 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
     · exact mul_lt_mul₀ hvpi (pow_lt_pow₀ hvx <| Finset.mem_range.1 hi)
     · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow₀ hvx (Finset.mem_range.1 hi)
 #align valuation.integers.mem_of_integral Valuation.Integers.mem_of_integral
+-/
 
+#print Valuation.Integers.integralClosure /-
 protected theorem integralClosure : integralClosure O R = ⊥ :=
   bot_unique fun r hr =>
     let ⟨x, hx⟩ := hv.3 (hv.mem_of_integral hr)
     Algebra.mem_bot.2 ⟨x, hx⟩
 #align valuation.integers.integral_closure Valuation.Integers.integralClosure
+-/
 
 end CommRing
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
 
 ! This file was ported from Lean 3 source module ring_theory.valuation.integral
-! leanprover-community/mathlib commit 9b2660e1b25419042c8da10bf411aa3c67f14383
+! leanprover-community/mathlib commit af471b9e3ce868f296626d33189b4ce730fa4c00
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.RingTheory.Valuation.Integers
 /-!
 # Integral elements over the ring of integers of a valution
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The ring of integers is integrally closed inside the original ring.
 -/
 
@@ -69,9 +72,11 @@ variable [Algebra O K] [IsFractionRing O K]
 
 variable (hv : Integers v O)
 
+#print Valuation.Integers.integrallyClosed /-
 theorem integrallyClosed : IsIntegrallyClosed O :=
   (IsIntegrallyClosed.integralClosure_eq_bot_iff K).mp (Valuation.Integers.integralClosure hv)
 #align valuation.integers.integrally_closed Valuation.Integers.integrallyClosed
+-/
 
 end FractionField
 
Diff
@@ -40,7 +40,7 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
   let ⟨p, hpm, hpx⟩ := hx
   le_of_not_lt fun hvx : 1 < v x =>
     by
-    rw [hpm.as_sum, eval₂_add, eval₂_pow, eval₂_X, eval₂_finset_sum, add_eq_zero_iff_eq_neg] at hpx
+    rw [hpm.as_sum, eval₂_add, eval₂_pow, eval₂_X, eval₂_finset_sum, add_eq_zero_iff_eq_neg] at hpx 
     replace hpx := congr_arg v hpx; refine' ne_of_gt _ hpx
     rw [v.map_neg, v.map_pow]
     refine' v.map_sum_lt' (zero_lt_one.trans_le (one_le_pow_of_one_le' hvx.le _)) fun i hi => _
Diff
@@ -20,7 +20,7 @@ The ring of integers is integrally closed inside the original ring.
 
 universe u v w
 
-open BigOperators
+open scoped BigOperators
 
 namespace Valuation
 
Diff
@@ -48,9 +48,7 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
       one_mul (v x ^ p.nat_degree)]
     cases' (hv.2 <| p.coeff i).lt_or_eq with hvpi hvpi
     · exact mul_lt_mul₀ hvpi (pow_lt_pow₀ hvx <| Finset.mem_range.1 hi)
-    · erw [hvpi]
-      rw [one_mul, one_mul]
-      exact pow_lt_pow₀ hvx (Finset.mem_range.1 hi)
+    · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow₀ hvx (Finset.mem_range.1 hi)
 #align valuation.integers.mem_of_integral Valuation.Integers.mem_of_integral
 
 protected theorem integralClosure : integralClosure O R = ⊥ :=

Changes in mathlib4

mathlib3
mathlib4
chore(*): remove empty lines between variable statements (#11418)

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)
Diff
@@ -26,7 +26,6 @@ namespace Integers
 section CommRing
 
 variable {R : Type u} {Γ₀ : Type v} [CommRing R] [LinearOrderedCommGroupWithZero Γ₀]
-
 variable {v : Valuation R Γ₀} {O : Type w} [CommRing O] [Algebra O R] (hv : Integers v O)
 
 open Polynomial
@@ -56,11 +55,8 @@ end CommRing
 section FractionField
 
 variable {K : Type u} {Γ₀ : Type v} [Field K] [LinearOrderedCommGroupWithZero Γ₀]
-
 variable {v : Valuation K Γ₀} {O : Type w} [CommRing O] [IsDomain O]
-
 variable [Algebra O K] [IsFractionRing O K]
-
 variable (hv : Integers v O)
 
 theorem integrallyClosed : IsIntegrallyClosed O :=
chore: Rename pow monotonicity lemmas (#9095)

The names for lemmas about monotonicity of (a ^ ·) and (· ^ n) were a mess. This PR tidies up everything related by following the naming convention for (a * ·) and (· * b). Namely, (a ^ ·) is pow_right and (· ^ n) is pow_left in lemma names. All lemma renames follow the corresponding multiplication lemma names closely.

Renames

Algebra.GroupPower.Order

  • pow_monopow_right_mono
  • pow_le_powpow_le_pow_right
  • pow_le_pow_of_le_leftpow_le_pow_left
  • pow_lt_pow_of_lt_leftpow_lt_pow_left
  • strictMonoOn_powpow_left_strictMonoOn
  • pow_strictMono_rightpow_right_strictMono
  • pow_lt_powpow_lt_pow_right
  • pow_lt_pow_iffpow_lt_pow_iff_right
  • pow_le_pow_iffpow_le_pow_iff_right
  • self_lt_powlt_self_pow
  • strictAnti_powpow_right_strictAnti
  • pow_lt_pow_iff_of_lt_onepow_lt_pow_iff_right_of_lt_one
  • pow_lt_pow_of_lt_onepow_lt_pow_right_of_lt_one
  • lt_of_pow_lt_powlt_of_pow_lt_pow_left
  • le_of_pow_le_powle_of_pow_le_pow_left
  • pow_lt_pow₀pow_lt_pow_right₀

Algebra.GroupPower.CovariantClass

  • pow_le_pow_of_le_left'pow_le_pow_left'
  • nsmul_le_nsmul_of_le_rightnsmul_le_nsmul_right
  • pow_lt_pow'pow_lt_pow_right'
  • nsmul_lt_nsmulnsmul_lt_nsmul_left
  • pow_strictMono_leftpow_right_strictMono'
  • nsmul_strictMono_rightnsmul_left_strictMono
  • StrictMono.pow_right'StrictMono.pow_const
  • StrictMono.nsmul_leftStrictMono.const_nsmul
  • pow_strictMono_right'pow_left_strictMono
  • nsmul_strictMono_leftnsmul_right_strictMono
  • Monotone.pow_rightMonotone.pow_const
  • Monotone.nsmul_leftMonotone.const_nsmul
  • lt_of_pow_lt_pow'lt_of_pow_lt_pow_left'
  • lt_of_nsmul_lt_nsmullt_of_nsmul_lt_nsmul_right
  • pow_le_pow'pow_le_pow_right'
  • nsmul_le_nsmulnsmul_le_nsmul_left
  • pow_le_pow_of_le_one'pow_le_pow_right_of_le_one'
  • nsmul_le_nsmul_of_nonposnsmul_le_nsmul_left_of_nonpos
  • le_of_pow_le_pow'le_of_pow_le_pow_left'
  • le_of_nsmul_le_nsmul'le_of_nsmul_le_nsmul_right'
  • pow_le_pow_iff'pow_le_pow_iff_right'
  • nsmul_le_nsmul_iffnsmul_le_nsmul_iff_left
  • pow_lt_pow_iff'pow_lt_pow_iff_right'
  • nsmul_lt_nsmul_iffnsmul_lt_nsmul_iff_left

Data.Nat.Pow

  • Nat.pow_lt_pow_of_lt_leftNat.pow_lt_pow_left
  • Nat.pow_le_iff_le_leftNat.pow_le_pow_iff_left
  • Nat.pow_lt_iff_lt_leftNat.pow_lt_pow_iff_left

Lemmas added

  • pow_le_pow_iff_left
  • pow_lt_pow_iff_left
  • pow_right_injective
  • pow_right_inj
  • Nat.pow_le_pow_left to have the correct name since Nat.pow_le_pow_of_le_left is in Std.
  • Nat.pow_le_pow_right to have the correct name since Nat.pow_le_pow_of_le_right is in Std.

Lemmas removed

  • self_le_pow was a duplicate of le_self_pow.
  • Nat.pow_lt_pow_of_lt_right is defeq to pow_lt_pow_right.
  • Nat.pow_right_strictMono is defeq to pow_right_strictMono.
  • Nat.pow_le_iff_le_right is defeq to pow_le_pow_iff_right.
  • Nat.pow_lt_iff_lt_right is defeq to pow_lt_pow_iff_right.

Other changes

  • A bunch of proofs have been golfed.
  • Some lemma assumptions have been turned from 0 < n or 1 ≤ n to n ≠ 0.
  • A few Nat lemmas have been protected.
  • One docstring has been fixed.
Diff
@@ -41,8 +41,8 @@ theorem mem_of_integral {x : R} (hx : IsIntegral O x) : x ∈ v.integer :=
     rw [eval₂_mul, eval₂_pow, eval₂_C, eval₂_X, v.map_mul, v.map_pow, ←
       one_mul (v x ^ p.natDegree)]
     cases' (hv.2 <| p.coeff i).lt_or_eq with hvpi hvpi
-    · exact mul_lt_mul₀ hvpi (pow_lt_pow₀ hvx <| Finset.mem_range.1 hi)
-    · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow₀ hvx (Finset.mem_range.1 hi)
+    · exact mul_lt_mul₀ hvpi (pow_lt_pow_right₀ hvx <| Finset.mem_range.1 hi)
+    · erw [hvpi]; rw [one_mul, one_mul]; exact pow_lt_pow_right₀ hvx (Finset.mem_range.1 hi)
 #align valuation.integers.mem_of_integral Valuation.Integers.mem_of_integral
 
 protected theorem integralClosure : integralClosure O R = ⊥ :=
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
-
-! This file was ported from Lean 3 source module ring_theory.valuation.integral
-! leanprover-community/mathlib commit 9b2660e1b25419042c8da10bf411aa3c67f14383
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.IntegrallyClosed
 import Mathlib.RingTheory.Valuation.Integers
 
+#align_import ring_theory.valuation.integral from "leanprover-community/mathlib"@"9b2660e1b25419042c8da10bf411aa3c67f14383"
+
 /-!
 # Integral elements over the ring of integers of a valuation
 
chore: fix many typos (#4967)

These are all doc fixes

Diff
@@ -12,7 +12,7 @@ import Mathlib.RingTheory.IntegrallyClosed
 import Mathlib.RingTheory.Valuation.Integers
 
 /-!
-# Integral elements over the ring of integers of a valution
+# Integral elements over the ring of integers of a valuation
 
 The ring of integers is integrally closed inside the original ring.
 -/
feat: port RingTheory.Valuation.Integral (#4600)

Dependencies 10 + 633

634 files ported (98.4%)
265392 lines ported (98.7%)
Show graph

The unported dependencies are