algebra.order.field.canonical.basic
⟷
Mathlib.Algebra.Order.Field.Canonical.Basic
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
@@ -3,7 +3,7 @@ Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
-import Mathbin.Algebra.Order.Field.Canonical.Defs
+import Algebra.Order.Field.Canonical.Defs
#align_import algebra.order.field.canonical.basic from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-
-! This file was ported from Lean 3 source module algebra.order.field.canonical.basic
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Order.Field.Canonical.Defs
+#align_import algebra.order.field.canonical.basic from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# Lemmas about canonically ordered semifields.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -25,8 +25,10 @@ section CanonicallyLinearOrderedSemifield
variable [CanonicallyLinearOrderedSemifield α] [Sub α] [OrderedSub α]
+#print tsub_div /-
theorem tsub_div (a b c : α) : (a - b) / c = a / c - b / c := by simp_rw [div_eq_mul_inv, tsub_mul]
#align tsub_div tsub_div
+-/
end CanonicallyLinearOrderedSemifield
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -25,12 +25,6 @@ section CanonicallyLinearOrderedSemifield
variable [CanonicallyLinearOrderedSemifield α] [Sub α] [OrderedSub α]
-/- warning: tsub_div -> tsub_div is a dubious translation:
-lean 3 declaration is
- forall {α : Type.{u1}} [_inst_1 : CanonicallyLinearOrderedSemifield.{u1} α] [_inst_2 : Sub.{u1} α] [_inst_3 : OrderedSub.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1)))))))) (Distrib.toHasAdd.{u1} α (NonUnitalNonAssocSemiring.toDistrib.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))))) _inst_2] (a : α) (b : α) (c : α), Eq.{succ u1} α (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) a b) c) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) a c) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) b c))
-but is expected to have type
- forall {α : Type.{u1}} [_inst_1 : CanonicallyLinearOrderedSemifield.{u1} α] [_inst_2 : Sub.{u1} α] [_inst_3 : OrderedSub.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Distrib.toAdd.{u1} α (NonUnitalNonAssocSemiring.toDistrib.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))))) _inst_2] (a : α) (b : α) (c : α), Eq.{succ u1} α (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) a b) c) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) a c) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) b c))
-Case conversion may be inaccurate. Consider using '#align tsub_div tsub_divₓ'. -/
theorem tsub_div (a b c : α) : (a - b) / c = a / c - b / c := by simp_rw [div_eq_mul_inv, tsub_mul]
#align tsub_div tsub_div
mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8
@@ -27,7 +27,7 @@ variable [CanonicallyLinearOrderedSemifield α] [Sub α] [OrderedSub α]
/- warning: tsub_div -> tsub_div is a dubious translation:
lean 3 declaration is
- forall {α : Type.{u1}} [_inst_1 : CanonicallyLinearOrderedSemifield.{u1} α] [_inst_2 : Sub.{u1} α] [_inst_3 : OrderedSub.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1)))))))) (Distrib.toHasAdd.{u1} α (NonUnitalNonAssocSemiring.toDistrib.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))))) _inst_2] (a : α) (b : α) (c : α), Eq.{succ u1} α (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) a b) c) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) a c) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) b c))
+ forall {α : Type.{u1}} [_inst_1 : CanonicallyLinearOrderedSemifield.{u1} α] [_inst_2 : Sub.{u1} α] [_inst_3 : OrderedSub.{u1} α (Preorder.toHasLe.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedCancelAddCommMonoid.toPartialOrder.{u1} α (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1)))))))) (Distrib.toHasAdd.{u1} α (NonUnitalNonAssocSemiring.toDistrib.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))))) _inst_2] (a : α) (b : α) (c : α), Eq.{succ u1} α (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) a b) c) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) a c) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (GroupWithZero.toDivInvMonoid.{u1} α (DivisionSemiring.toGroupWithZero.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) b c))
but is expected to have type
forall {α : Type.{u1}} [_inst_1 : CanonicallyLinearOrderedSemifield.{u1} α] [_inst_2 : Sub.{u1} α] [_inst_3 : OrderedSub.{u1} α (Preorder.toLE.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedSemiring.toPartialOrder.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Distrib.toAdd.{u1} α (NonUnitalNonAssocSemiring.toDistrib.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (StrictOrderedSemiring.toSemiring.{u1} α (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} α (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} α (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} α (CanonicallyLinearOrderedSemifield.toLinearOrderedSemifield.{u1} α _inst_1))))))))) _inst_2] (a : α) (b : α) (c : α), Eq.{succ u1} α (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) a b) c) (HSub.hSub.{u1, u1, u1} α α α (instHSub.{u1} α _inst_2) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) a c) (HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (CanonicallyLinearOrderedSemifield.toDiv.{u1} α _inst_1)) b c))
Case conversion may be inaccurate. Consider using '#align tsub_div tsub_divₓ'. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -13,7 +13,7 @@ import Mathlib.Algebra.Order.Field.Canonical.Defs
-/
-variable {α : Type _}
+variable {α : Type*}
section CanonicallyLinearOrderedSemifield
@@ -2,14 +2,11 @@
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-
-! This file was ported from Lean 3 source module algebra.order.field.canonical.basic
-! leanprover-community/mathlib commit ee0c179cd3c8a45aa5bffbf1b41d8dbede452865
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Field.Canonical.Defs
+#align_import algebra.order.field.canonical.basic from "leanprover-community/mathlib"@"ee0c179cd3c8a45aa5bffbf1b41d8dbede452865"
+
/-!
# Lemmas about canonically ordered semifields.
The script used to do this is included. The yaml file was obtained from https://raw.githubusercontent.com/wiki/leanprover-community/mathlib/mathlib4-port-status.md
@@ -2,6 +2,11 @@
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
+
+! This file was ported from Lean 3 source module algebra.order.field.canonical.basic
+! leanprover-community/mathlib commit ee0c179cd3c8a45aa5bffbf1b41d8dbede452865
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Field.Canonical.Defs