algebra.char_p.subring
⟷
Mathlib.Algebra.CharP.Subring
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
@@ -3,8 +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.Algebra.CharP.Basic
-import Mathbin.RingTheory.Subring.Basic
+import Algebra.CharP.Basic
+import RingTheory.Subring.Basic
#align_import algebra.char_p.subring from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -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 algebra.char_p.subring
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! 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.Subring.Basic
+#align_import algebra.char_p.subring from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
/-!
# Characteristic of subrings
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -23,6 +23,7 @@ universe u v
namespace CharP
+#print CharP.subsemiring /-
instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsemiring R) :
CharP S p :=
⟨fun x =>
@@ -31,7 +32,9 @@ instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsem
⟨fun h => Subtype.eq <| show S.Subtype x = 0 by rw [map_natCast, h], fun h =>
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subsemiring CharP.subsemiring
+-/
+#print CharP.subring /-
instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
⟨fun x =>
Iff.symm <|
@@ -39,10 +42,13 @@ instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : C
⟨fun h => Subtype.eq <| show S.Subtype x = 0 by rw [map_natCast, h], fun h =>
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subring CharP.subring
+-/
+#print CharP.subring' /-
instance subring' (R : Type u) [CommRing R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
CharP.subring R p S
#align char_p.subring' CharP.subring'
+-/
end CharP
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -23,12 +23,6 @@ universe u v
namespace CharP
-/- warning: char_p.subsemiring -> CharP.subsemiring is a dubious translation:
-lean 3 declaration is
- forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) p] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (NonAssocSemiring.toAddCommMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (Subsemiring.toNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1) S))) p
-but is expected to have type
- forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) p] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (NonAssocSemiring.toAddCommMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (Subsemiring.toNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1) S))) p
-Case conversion may be inaccurate. Consider using '#align char_p.subsemiring CharP.subsemiringₓ'. -/
instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsemiring R) :
CharP S p :=
⟨fun x =>
@@ -38,12 +32,6 @@ instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsem
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subsemiring CharP.subsemiring
-/- warning: char_p.subring -> CharP.subring is a dubious translation:
-lean 3 declaration is
- forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1))) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddCommGroupWithOne.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Ring.toAddCommGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Subring.toRing.{u1} R _inst_1 S)))) p
-but is expected to have type
- forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1)) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Subring.toRing.{u1} R _inst_1 S))) p
-Case conversion may be inaccurate. Consider using '#align char_p.subring CharP.subringₓ'. -/
instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
⟨fun x =>
Iff.symm <|
@@ -52,12 +40,6 @@ instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : C
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subring CharP.subring
-/- warning: char_p.subring' -> CharP.subring' is a dubious translation:
-lean 3 declaration is
- forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddCommGroupWithOne.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Ring.toAddCommGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S)))) p
-but is expected to have type
- forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S))) p
-Case conversion may be inaccurate. Consider using '#align char_p.subring' CharP.subring'ₓ'. -/
instance subring' (R : Type u) [CommRing R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
CharP.subring R p S
#align char_p.subring' CharP.subring'
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1
@@ -40,7 +40,7 @@ instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsem
/- warning: char_p.subring -> CharP.subring is a dubious translation:
lean 3 declaration is
- forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (NonAssocRing.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Ring.toNonAssocRing.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Subring.toRing.{u1} R _inst_1 S)))) p
+ forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1))) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddCommGroupWithOne.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Ring.toAddCommGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Subring.toRing.{u1} R _inst_1 S)))) p
but is expected to have type
forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1)) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Subring.toRing.{u1} R _inst_1 S))) p
Case conversion may be inaccurate. Consider using '#align char_p.subring CharP.subringₓ'. -/
@@ -54,7 +54,7 @@ instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : C
/- warning: char_p.subring' -> CharP.subring' is a dubious translation:
lean 3 declaration is
- forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (NonAssocRing.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Ring.toNonAssocRing.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S)))) p
+ forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddCommGroupWithOne.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Ring.toAddCommGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S)))) p
but is expected to have type
forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S))) p
Case conversion may be inaccurate. Consider using '#align char_p.subring' CharP.subring'ₓ'. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d
@@ -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 algebra.char_p.subring
-! leanprover-community/mathlib commit 168ad7fc5d8173ad38be9767a22d50b8ecf1cd00
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -13,6 +13,9 @@ import Mathbin.RingTheory.Subring.Basic
/-!
# Characteristic of subrings
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2
@@ -20,6 +20,12 @@ universe u v
namespace CharP
+/- warning: char_p.subsemiring -> CharP.subsemiring is a dubious translation:
+lean 3 declaration is
+ forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) p] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (NonAssocSemiring.toAddCommMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) S) (Subsemiring.toNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1) S))) p
+but is expected to have type
+ forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) p] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (NonAssocSemiring.toAddCommMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) x S)) (Subsemiring.toNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1) S))) p
+Case conversion may be inaccurate. Consider using '#align char_p.subsemiring CharP.subsemiringₓ'. -/
instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsemiring R) :
CharP S p :=
⟨fun x =>
@@ -29,6 +35,12 @@ instance subsemiring (R : Type u) [Semiring R] (p : ℕ) [CharP R p] (S : Subsem
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subsemiring CharP.subsemiring
+/- warning: char_p.subring -> CharP.subring is a dubious translation:
+lean 3 declaration is
+ forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (NonAssocRing.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Ring.toNonAssocRing.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R _inst_1) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.setLike.{u1} R _inst_1)) S) (Subring.toRing.{u1} R _inst_1 S)))) p
+but is expected to have type
+ forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1)) p] (S : Subring.{u1} R _inst_1), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R _inst_1) (SetLike.instMembership.{u1, u1} (Subring.{u1} R _inst_1) R (Subring.instSetLikeSubring.{u1} R _inst_1)) x S)) (Subring.toRing.{u1} R _inst_1 S))) p
+Case conversion may be inaccurate. Consider using '#align char_p.subring CharP.subringₓ'. -/
instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
⟨fun x =>
Iff.symm <|
@@ -37,6 +49,12 @@ instance subring (R : Type u) [Ring R] (p : ℕ) [CharP R p] (S : Subring R) : C
map_natCast S.Subtype x ▸ by rw [h, RingHom.map_zero]⟩⟩
#align char_p.subring CharP.subring
+/- warning: char_p.subring' -> CharP.subring' is a dubious translation:
+lean 3 declaration is
+ forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (AddGroupWithOne.toAddMonoidWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (NonAssocRing.toAddGroupWithOne.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Ring.toNonAssocRing.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_1))) S) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S)))) p
+but is expected to have type
+ forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (p : Nat) [_inst_2 : CharP.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1))) p] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)), CharP.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (AddGroupWithOne.toAddMonoidWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Ring.toAddGroupWithOne.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_1)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_1))) x S)) (Subring.toRing.{u1} R (CommRing.toRing.{u1} R _inst_1) S))) p
+Case conversion may be inaccurate. Consider using '#align char_p.subring' CharP.subring'ₓ'. -/
instance subring' (R : Type u) [CommRing R] (p : ℕ) [CharP R p] (S : Subring R) : CharP S p :=
CharP.subring R p S
#align char_p.subring' CharP.subring'
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -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 algebra.char_p.subring
-! leanprover-community/mathlib commit 168ad7fc5d8173ad38be9767a22d50b8ecf1cd00
-! 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.Subring.Basic
+#align_import algebra.char_p.subring from "leanprover-community/mathlib"@"168ad7fc5d8173ad38be9767a22d50b8ecf1cd00"
+
/-!
# Characteristic of subrings
-/
The unported dependencies are