algebra.char_p.local_ringMathlib.Algebra.CharP.LocalRing

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
@@ -43,15 +43,15 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     have q_eq_a_mul_rn : q = r ^ n * a := by rw [Nat.mul_div_cancel' (Nat.ord_proj_dvd q r)]
     have r_ne_dvd_a := Nat.not_dvd_ord_compl r_prime q_pos
     have rn_dvd_q : r ^ n ∣ q := ⟨a, q_eq_a_mul_rn⟩
-    rw [mul_comm] at q_eq_a_mul_rn 
+    rw [mul_comm] at q_eq_a_mul_rn
     have a_dvd_q : a ∣ q := ⟨r ^ n, q_eq_a_mul_rn⟩
     -- ... where `a` is a unit.
     have a_unit : IsUnit (a : R) := by
       by_contra g
-      rw [← mem_nonunits_iff] at g 
-      rw [← LocalRing.mem_maximalIdeal] at g 
+      rw [← mem_nonunits_iff] at g
+      rw [← LocalRing.mem_maximalIdeal] at g
       have a_cast_zero := Ideal.Quotient.eq_zero_iff_mem.2 g
-      rw [map_natCast] at a_cast_zero 
+      rw [map_natCast] at a_cast_zero
       have r_dvd_a := (ringChar.spec K a).1 a_cast_zero
       exact absurd r_dvd_a r_ne_dvd_a
     -- Let `b` be the inverse of `a`.
Diff
@@ -30,7 +30,7 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     [char_R_q : CharP R q] : q = 0 ∨ IsPrimePow q :=
   by
   -- Assume `q := char(R)` is not zero.
-  apply or_iff_not_imp_left.2
+  apply Classical.or_iff_not_imp_left.2
   intro q_pos
   let K := LocalRing.ResidueField R
   haveI RM_char := ringChar.charP K
Diff
@@ -3,10 +3,10 @@ Copyright (c) 2022 Jon Eugster. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jon Eugster
 -/
-import Mathbin.Algebra.CharP.Basic
-import Mathbin.RingTheory.Ideal.LocalRing
-import Mathbin.Algebra.IsPrimePow
-import Mathbin.Data.Nat.Factorization.Basic
+import Algebra.CharP.Basic
+import RingTheory.Ideal.LocalRing
+import Algebra.IsPrimePow
+import Data.Nat.Factorization.Basic
 
 #align_import algebra.char_p.local_ring from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
 
Diff
@@ -2,17 +2,14 @@
 Copyright (c) 2022 Jon Eugster. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jon Eugster
-
-! This file was ported from Lean 3 source module algebra.char_p.local_ring
-! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.CharP.Basic
 import Mathbin.RingTheory.Ideal.LocalRing
 import Mathbin.Algebra.IsPrimePow
 import Mathbin.Data.Nat.Factorization.Basic
 
+#align_import algebra.char_p.local_ring from "leanprover-community/mathlib"@"33c67ae661dd8988516ff7f247b0be3018cdd952"
+
 /-!
 # Characteristics of local rings
 
Diff
@@ -27,6 +27,7 @@ import Mathbin.Data.Nat.Factorization.Basic
 -/
 
 
+#print charP_zero_or_prime_power /-
 /-- In a local ring the characteristics is either zero or a prime power. -/
 theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : ℕ)
     [char_R_q : CharP R q] : q = 0 ∨ IsPrimePow q :=
@@ -76,4 +77,5 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     have q_zero := CharP.eq R char_R_q (CharP.ofCharZero R)
     exact absurd q_zero q_pos
 #align char_p_zero_or_prime_power charP_zero_or_prime_power
+-/
 
Diff
@@ -45,15 +45,15 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     have q_eq_a_mul_rn : q = r ^ n * a := by rw [Nat.mul_div_cancel' (Nat.ord_proj_dvd q r)]
     have r_ne_dvd_a := Nat.not_dvd_ord_compl r_prime q_pos
     have rn_dvd_q : r ^ n ∣ q := ⟨a, q_eq_a_mul_rn⟩
-    rw [mul_comm] at q_eq_a_mul_rn
+    rw [mul_comm] at q_eq_a_mul_rn 
     have a_dvd_q : a ∣ q := ⟨r ^ n, q_eq_a_mul_rn⟩
     -- ... where `a` is a unit.
     have a_unit : IsUnit (a : R) := by
       by_contra g
-      rw [← mem_nonunits_iff] at g
-      rw [← LocalRing.mem_maximalIdeal] at g
+      rw [← mem_nonunits_iff] at g 
+      rw [← LocalRing.mem_maximalIdeal] at g 
       have a_cast_zero := Ideal.Quotient.eq_zero_iff_mem.2 g
-      rw [map_natCast] at a_cast_zero
+      rw [map_natCast] at a_cast_zero 
       have r_dvd_a := (ringChar.spec K a).1 a_cast_zero
       exact absurd r_dvd_a r_ne_dvd_a
     -- Let `b` be the inverse of `a`.
Diff
@@ -27,12 +27,6 @@ import Mathbin.Data.Nat.Factorization.Basic
 -/
 
 
-/- warning: char_p_zero_or_prime_power -> charP_zero_or_prime_power is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LocalRing.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (q : Nat) [char_R_q : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))) q], Or (Eq.{1} Nat q (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (IsPrimePow.{0} Nat (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) q)
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LocalRing.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (q : Nat) [char_R_q : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))) q], Or (Eq.{1} Nat q (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (IsPrimePow.{0} Nat (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) q)
-Case conversion may be inaccurate. Consider using '#align char_p_zero_or_prime_power charP_zero_or_prime_powerₓ'. -/
 /-- In a local ring the characteristics is either zero or a prime power. -/
 theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : ℕ)
     [char_R_q : CharP R q] : q = 0 ∨ IsPrimePow q :=
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jon Eugster
 
 ! This file was ported from Lean 3 source module algebra.char_p.local_ring
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 33c67ae661dd8988516ff7f247b0be3018cdd952
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Data.Nat.Factorization.Basic
 /-!
 # Characteristics of local rings
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## Main result
 
 - `char_p_zero_or_prime_power`: In a commutative local ring the characteristics is either
Diff
@@ -24,6 +24,12 @@ import Mathbin.Data.Nat.Factorization.Basic
 -/
 
 
+/- warning: char_p_zero_or_prime_power -> charP_zero_or_prime_power is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LocalRing.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (q : Nat) [char_R_q : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))) q], Or (Eq.{1} Nat q (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (IsPrimePow.{0} Nat (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) q)
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : LocalRing.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (q : Nat) [char_R_q : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))) q], Or (Eq.{1} Nat q (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (IsPrimePow.{0} Nat (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) q)
+Case conversion may be inaccurate. Consider using '#align char_p_zero_or_prime_power charP_zero_or_prime_powerₓ'. -/
 /-- In a local ring the characteristics is either zero or a prime power. -/
 theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : ℕ)
     [char_R_q : CharP R q] : q = 0 ∨ IsPrimePow q :=
Diff
@@ -70,7 +70,7 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     haveI K_char_zero : CharZero K := CharP.charP_to_charZero K
     haveI R_char_zero := RingHom.charZero (LocalRing.residue R)
     -- Finally, `r = 0` would lead to a contradiction:
-    have q_zero := CharP.eq R char_R_q (CharP.of_charZero R)
+    have q_zero := CharP.eq R char_R_q (CharP.ofCharZero R)
     exact absurd q_zero q_pos
 #align char_p_zero_or_prime_power charP_zero_or_prime_power
 

Changes in mathlib4

mathlib3
mathlib4
chore: space after (#8178)

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

Diff
@@ -51,8 +51,8 @@ theorem charP_zero_or_prime_power (R : Type*) [CommRing R] [LocalRing R] (q : 
     -- Let `b` be the inverse of `a`.
     cases' a_unit.exists_left_inv with a_inv h_inv_mul_a
     have rn_cast_zero : ↑(r ^ n) = (0 : R) := by
-      rw [← @mul_one R _ ↑(r ^ n), mul_comm, ←Classical.choose_spec a_unit.exists_left_inv,
-        mul_assoc, ← Nat.cast_mul, ←q_eq_a_mul_rn, CharP.cast_eq_zero R q]
+      rw [← @mul_one R _ ↑(r ^ n), mul_comm, ← Classical.choose_spec a_unit.exists_left_inv,
+        mul_assoc, ← Nat.cast_mul, ← q_eq_a_mul_rn, CharP.cast_eq_zero R q]
       simp
     have q_eq_rn := Nat.dvd_antisymm ((CharP.cast_eq_zero_iff R q (r ^ n)).mp rn_cast_zero) rn_dvd_q
     have n_pos : n ≠ 0 := fun n_zero =>
chore: bump to v4.3.0-rc2 (#8366)

PR contents

This is the supremum of

along with some minor fixes from failures on nightly-testing as Mathlib master is merged into it.

Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.

I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0 branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.

Lean PRs involved in this bump

In particular this includes adjustments for the Lean PRs

leanprover/lean4#2778

We can get rid of all the

local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)

macros across Mathlib (and in any projects that want to write natural number powers of reals).

leanprover/lean4#2722

Changes the default behaviour of simp to (config := {decide := false}). This makes simp (and consequentially norm_num) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp or norm_num to decide or rfl, or adding (config := {decide := true}).

leanprover/lean4#2783

This changed the behaviour of simp so that simp [f] will only unfold "fully applied" occurrences of f. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true }). We may in future add a syntax for this, e.g. simp [!f]; please provide feedback! In the meantime, we have made the following changes:

  • switching to using explicit lemmas that have the intended level of application
  • (config := { unfoldPartialApp := true }) in some places, to recover the old behaviour
  • Using @[eqns] to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp and Function.flip.

This change in Lean may require further changes down the line (e.g. adding the !f syntax, and/or upstreaming the special treatment for Function.comp and Function.flip, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!

Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>

Diff
@@ -51,7 +51,7 @@ theorem charP_zero_or_prime_power (R : Type*) [CommRing R] [LocalRing R] (q : 
     -- Let `b` be the inverse of `a`.
     cases' a_unit.exists_left_inv with a_inv h_inv_mul_a
     have rn_cast_zero : ↑(r ^ n) = (0 : R) := by
-      rw [← @mul_one R _ (r ^ n), mul_comm, ←Classical.choose_spec a_unit.exists_left_inv,
+      rw [← @mul_one R _ ↑(r ^ n), mul_comm, ←Classical.choose_spec a_unit.exists_left_inv,
         mul_assoc, ← Nat.cast_mul, ←q_eq_a_mul_rn, CharP.cast_eq_zero R q]
       simp
     have q_eq_rn := Nat.dvd_antisymm ((CharP.cast_eq_zero_iff R q (r ^ n)).mp rn_cast_zero) rn_dvd_q
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.

Diff
@@ -22,7 +22,7 @@ import Mathlib.Data.Nat.Factorization.Basic
 
 
 /-- In a local ring the characteristics is either zero or a prime power. -/
-theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : ℕ)
+theorem charP_zero_or_prime_power (R : Type*) [CommRing R] [LocalRing R] (q : ℕ)
     [char_R_q : CharP R q] : q = 0 ∨ IsPrimePow q := by
   -- Assume `q := char(R)` is not zero.
   apply or_iff_not_imp_left.2
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
@@ -2,17 +2,14 @@
 Copyright (c) 2022 Jon Eugster. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jon Eugster
-
-! This file was ported from Lean 3 source module algebra.char_p.local_ring
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.CharP.Basic
 import Mathlib.RingTheory.Ideal.LocalRing
 import Mathlib.Algebra.IsPrimePow
 import Mathlib.Data.Nat.Factorization.Basic
 
+#align_import algebra.char_p.local_ring from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Characteristics of local rings
 
chore: fix upper/lowercase in comments (#4360)
  • Run a non-interactive version of fix-comments.py on all files.
  • Go through the diff and manually add/discard/edit chunks.
Diff
@@ -60,7 +60,7 @@ theorem charP_zero_or_prime_power (R : Type _) [CommRing R] [LocalRing R] (q : 
     have q_eq_rn := Nat.dvd_antisymm ((CharP.cast_eq_zero_iff R q (r ^ n)).mp rn_cast_zero) rn_dvd_q
     have n_pos : n ≠ 0 := fun n_zero =>
       absurd (by simpa [n_zero] using q_eq_rn) (CharP.char_ne_one R q)
-    -- Definition of prime power: `∃ r n, prime r ∧ 0 < n ∧ r ^ n = q`.
+    -- Definition of prime power: `∃ r n, Prime r ∧ 0 < n ∧ r ^ n = q`.
     exact ⟨r, ⟨n, ⟨r_prime.prime, ⟨pos_iff_ne_zero.mpr n_pos, q_eq_rn.symm⟩⟩⟩⟩
   · haveI K_char_p_0 := ringChar.of_eq r_zero
     haveI K_char_zero : CharZero K := CharP.charP_to_charZero K
feat: port Algebra.CharP.LocalRing (#4082)

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

Dependencies 8 + 551

552 files ported (98.6%)
229951 lines ported (98.7%)
Show graph

The unported dependencies are