algebra.order.algebra | Mathlib porting status

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

f5a600f8

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f4758115

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import Algebra.Algebra.Basic
-import Algebra.Order.Smul
+import Algebra.Order.Module.OrderedSMul
 
 #align_import algebra.order.algebra from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"

f4758115

bump to nightly-2023-12-25-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

c71f3cc2

Diff

@@ -46,7 +46,7 @@ theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   rw [Algebra.algebraMap_eq_smul_one, Algebra.algebraMap_eq_smul_one, ← sub_nonneg, ← sub_smul]
   trans (b - a) • (0 : A)
   · simp
-  · exact smul_le_smul_of_nonneg zero_le_one (sub_nonneg.mpr h)
+  · exact smul_le_smul_of_nonneg_left zero_le_one (sub_nonneg.mpr h)
 #align algebra_map_monotone algebraMap_monotone
 -/

f4758115

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Algebra.Basic
-import Mathbin.Algebra.Order.Smul
+import Algebra.Algebra.Basic
+import Algebra.Order.Smul
 
 #align_import algebra.order.algebra from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"

f4758115

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.order.algebra
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Basic
 import Mathbin.Algebra.Order.Smul
 
+#align_import algebra.order.algebra from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Ordered algebras

f4758115

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -43,6 +43,7 @@ variable {R A : Type _} {a b : A} {r : R}
 
 variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 
+#print algebraMap_monotone /-
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by
   rw [Algebra.algebraMap_eq_smul_one, Algebra.algebraMap_eq_smul_one, ← sub_nonneg, ← sub_smul]
@@ -50,6 +51,7 @@ theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   · simp
   · exact smul_le_smul_of_nonneg zero_le_one (sub_nonneg.mpr h)
 #align algebra_map_monotone algebraMap_monotone
+-/
 
 end OrderedAlgebra

f4758115

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -43,12 +43,6 @@ variable {R A : Type _} {a b : A} {r : R}
 
 variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 
-/- warning: algebra_map_monotone -> algebraMap_monotone is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
-but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (Algebra.toModule.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
-Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by
   rw [Algebra.algebraMap_eq_smul_one, Algebra.algebraMap_eq_smul_one, ← sub_nonneg, ← sub_smul]

f4758115

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -47,7 +47,7 @@ variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (Algebra.toModule.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (Algebra.toModule.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
 Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by

f4758115

bump to nightly-2023-04-27-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/9b2b58d6b14b895b2f375108e765cb47de71aebd

c8f7a684

Diff

@@ -47,7 +47,7 @@ variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (Algebra.toModule.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
 Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by

f4758115

bump to nightly-2023-03-11-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

a8ee822f

Diff

@@ -47,7 +47,7 @@ variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
 Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by

f4758115

bump to nightly-2023-03-09-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

061741a1

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.order.algebra
-! leanprover-community/mathlib commit f5a600f8102c8bfdbd22781968a20a539304c1b4
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Algebra.Order.Smul
 /-!
 # Ordered algebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 An ordered algebra is an ordered semiring, which is an algebra over an ordered commutative semiring,
 for which scalar multiplication is "compatible" with the two orders.

f5a600f8

bump to nightly-2023-03-08-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

10f15343

Diff

@@ -44,7 +44,7 @@ variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
 Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by

f5a600f8

bump to nightly-2023-03-02-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

cda909c7

Diff

@@ -40,6 +40,12 @@ variable {R A : Type _} {a b : A} {r : R}
 
 variable [OrderedCommRing R] [OrderedRing A] [Algebra R A] [OrderedSMul R A]
 
+/- warning: algebra_map_monotone -> algebraMap_monotone is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : OrderedCommRing.{u1} R] [_inst_2 : OrderedRing.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2))] [_inst_4 : OrderedSMul.{u1, u2} R A (OrderedRing.toOrderedSemiring.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (OrderedAddCommMonoid.toAddCommMonoid.{u2} A (OrderedSemiring.toOrderedAddCommMonoid.{u2} A (OrderedRing.toOrderedSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (Ring.toSemiring.{u1} R (OrderedRing.toRing.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} A (OrderedAddCommGroup.toAddCommGroup.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3)))], Monotone.{u1, u2} R A (PartialOrder.toPreorder.{u1} R (OrderedAddCommGroup.toPartialOrder.{u1} R (OrderedRing.toOrderedAddCommGroup.{u1} R (OrderedCommRing.toOrderedRing.{u1} R _inst_1)))) (PartialOrder.toPreorder.{u2} A (OrderedAddCommGroup.toPartialOrder.{u2} A (OrderedRing.toOrderedAddCommGroup.{u2} A _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)))) (algebraMap.{u1, u2} R A (OrderedCommSemiring.toCommSemiring.{u1} R (OrderedCommRing.toOrderedCommSemiring.{u1} R _inst_1)) (Ring.toSemiring.{u2} A (OrderedRing.toRing.{u2} A _inst_2)) _inst_3))
+but is expected to have type
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : OrderedCommRing.{u2} R] [_inst_2 : OrderedRing.{u1} A] [_inst_3 : Algebra.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))] [_inst_4 : OrderedSMul.{u2, u1} R A (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (AddMonoid.toZero.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (OrderedAddCommMonoid.toAddCommMonoid.{u1} A (OrderedSemiring.toOrderedAddCommMonoid.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (Module.toMulActionWithZero.{u2, u1} R A (OrderedSemiring.toSemiring.{u2} R (OrderedCommSemiring.toOrderedSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))) (OrderedCancelAddCommMonoid.toAddCommMonoid.{u1} A (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} A (OrderedRing.toOrderedAddCommGroup.{u1} A _inst_2))) (instModuleToSemiringToOrderedSemiringToOrderedCommSemiringToAddCommMonoidToOrderedCancelAddCommMonoidToOrderedAddCommGroup.{u2, u1} R A _inst_1 _inst_2 _inst_3)))], Monotone.{u2, u1} R A (PartialOrder.toPreorder.{u2} R (OrderedRing.toPartialOrder.{u2} R (OrderedCommRing.toOrderedRing.{u2} R _inst_1))) (PartialOrder.toPreorder.{u1} A (OrderedRing.toPartialOrder.{u1} A _inst_2)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} A (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2))))))) (algebraMap.{u2, u1} R A (OrderedCommSemiring.toCommSemiring.{u2} R (OrderedCommRing.toOrderedCommSemiring.{u2} R _inst_1)) (OrderedSemiring.toSemiring.{u1} A (OrderedRing.toOrderedSemiring.{u1} A _inst_2)) _inst_3))
+Case conversion may be inaccurate. Consider using '#align algebra_map_monotone algebraMap_monotoneₓ'. -/
 theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h =>
   by
   rw [Algebra.algebraMap_eq_smul_one, Algebra.algebraMap_eq_smul_one, ← sub_nonneg, ← sub_smul]

f5a600f8

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

f5a600f8

chore: split Algebra.Algebra.Basic (#12486)

Splits Algebra.Algebra.Defs off Algebra.Algebra.Basic. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Algebra.Basic is now a grab-bag of unrelated results, and should probably be split further or rehomed.

This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Algebra.Basic.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

d64b17d9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Algebra.Algebra.Defs
 import Mathlib.Algebra.Order.Module.OrderedSMul
 
 #align_import algebra.order.algebra from "leanprover-community/mathlib"@"f5a600f8102c8bfdbd22781968a20a539304c1b4"

f5a600f8

refactor: Deduplicate monotonicity of • lemmas (#9179)

Remove the duplicates introduced in #8869 by sorting the lemmas in Algebra.Order.SMul into three files:

Algebra.Order.Module.Defs for the order isomorphism induced by scalar multiplication by a positivity element
Algebra.Order.Module.Pointwise for the order properties of scalar multiplication of sets. This file is new. I credit myself for https://github.com/leanprover-community/mathlib/pull/9078
Algebra.Order.Module.OrderedSMul: The material about OrderedSMul per se. Inherits the copyright header from Algebra.Order.SMul. This file should eventually be deleted.

I move each #align to the correct file. On top of that, I delete unused redundant OrderedSMul instances (they were useful in Lean 3, but not anymore) and eq_of_smul_eq_smul_of_pos_of_le/eq_of_smul_eq_smul_of_neg_of_le since those lemmas are weird and unused.

ea70e843

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import Mathlib.Algebra.Algebra.Basic
-import Mathlib.Algebra.Order.SMul
+import Mathlib.Algebra.Order.Module.OrderedSMul
 
 #align_import algebra.order.algebra from "leanprover-community/mathlib"@"f5a600f8102c8bfdbd22781968a20a539304c1b4"
 
@@ -45,7 +45,7 @@ theorem algebraMap_monotone : Monotone (algebraMap R A) := fun a b h => by
   rw [Algebra.algebraMap_eq_smul_one, Algebra.algebraMap_eq_smul_one, ← sub_nonneg, ← sub_smul]
   trans (b - a) • (0 : A)
   · simp
-  · exact smul_le_smul_of_nonneg zero_le_one (sub_nonneg.mpr h)
+  · exact smul_le_smul_of_nonneg_left zero_le_one (sub_nonneg.mpr h)
 #align algebra_map_monotone algebraMap_monotone
 
 end OrderedAlgebra

f5a600f8

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.

32de3f67

Diff

@@ -32,7 +32,7 @@ ordered algebra
 
 section OrderedAlgebra
 
-variable {R A : Type _} {a b : A} {r : R}
+variable {R A : Type*} {a b : A} {r : R}

f5a600f8

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.order.algebra
-! leanprover-community/mathlib commit f5a600f8102c8bfdbd22781968a20a539304c1b4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Algebra.Order.SMul
 
+#align_import algebra.order.algebra from "leanprover-community/mathlib"@"f5a600f8102c8bfdbd22781968a20a539304c1b4"
+
 /-!
 # Ordered algebras

f5a600f8

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -41,7 +41,6 @@ variable {R A : Type _} {a b : A} {r : R}
 
 variable [OrderedCommRing R] [OrderedRing A] [Algebra R A]
 
-set_option synthInstance.etaExperiment true
 
 variable [OrderedSMul R A]

f5a600f8

chore: use etaExperiment rather than hacking with instances (#3668)

This is to fix timeouts in https://github.com/leanprover-community/mathlib4/pull/3552.

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/!4.233552.20.28LinearAlgebra.2EMatrix.2EToLin.29.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

0f225a7f

Diff

@@ -41,8 +41,7 @@ variable {R A : Type _} {a b : A} {r : R}
 
 variable [OrderedCommRing R] [OrderedRing A] [Algebra R A]
 
--- Porting note: added the following line, fails to be inferred otherwise. Probably lean4#2074
-instance : Module R A := Algebra.toModule
+set_option synthInstance.etaExperiment true
 
 variable [OrderedSMul R A]

f5a600f8

feat port: Algebra.Order.Algebra (#2535)

a8ede0d2

`algebra.order.algebra` ⟷ `Mathlib.Algebra.Order.Algebra`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 348

algebra.order.algebra ⟷ Mathlib.Algebra.Order.Algebra

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 348

`algebra.order.algebra` ⟷ `Mathlib.Algebra.Order.Algebra`