algebra.order.field.defs | 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

655994e2

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

448144f7

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) 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.Field.Defs
-import Mathbin.Algebra.Order.Ring.Defs
+import Algebra.Field.Defs
+import Algebra.Order.Ring.Defs
 
 #align_import algebra.order.field.defs from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"

448144f7

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) 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.defs
-! 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.Field.Defs
 import Mathbin.Algebra.Order.Ring.Defs
 
+#align_import algebra.order.field.defs from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
 /-!
 # Linear ordered (semi)fields

448144f7

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

655994e2

chore: Rename zpow_coe_nat to zpow_natCast (#11528)

... and add a deprecated alias for the old name. This is mostly just me discovering the power of F2

75dad162

Diff

@@ -93,11 +93,11 @@ lemma div_nonpos_of_nonneg_of_nonpos (ha : 0 ≤ a) (hb : b ≤ 0) : a / b ≤ 0
 #align div_nonpos_of_nonneg_of_nonpos div_nonpos_of_nonneg_of_nonpos
 
 lemma zpow_nonneg (ha : 0 ≤ a) : ∀ n : ℤ, 0 ≤ a ^ n
-  | (n : ℕ) => by rw [zpow_coe_nat]; exact pow_nonneg ha _
-  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_nonneg, zpow_coe_nat]; exact pow_nonneg ha _
+  | (n : ℕ) => by rw [zpow_natCast]; exact pow_nonneg ha _
+  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_nonneg, zpow_natCast]; exact pow_nonneg ha _
 #align zpow_nonneg zpow_nonneg
 
 lemma zpow_pos_of_pos (ha : 0 < a) : ∀ n : ℤ, 0 < a ^ n
-  | (n : ℕ) => by rw [zpow_coe_nat]; exact pow_pos ha _
-  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_pos, zpow_coe_nat]; exact pow_pos ha _
+  | (n : ℕ) => by rw [zpow_natCast]; exact pow_pos ha _
+  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_pos, zpow_natCast]; exact pow_pos ha _
 #align zpow_pos_of_pos zpow_pos_of_pos

655994e2

chore: Move basic ordered field lemmas (#11503)

These lemmas are needed to define the semifield structure on NNRat, hence I am repurposing Algebra.Order.Field.Defs from avoiding a timeout (which I believe was solved long ago) to avoiding to import random stuff in the definition of the semifield structure on NNRat (although this PR doesn't actually reduce imports there, it will be in a later PR).

Reduce the diff of #11203

61e0ad2f

Diff

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
 -/
 import Mathlib.Algebra.Field.Defs
+import Mathlib.Algebra.GroupWithZero.Units.Basic
 import Mathlib.Algebra.Order.Ring.Defs
 
 #align_import algebra.order.field.defs from "leanprover-community/mathlib"@"655994e298904d7e5bbd1e18c95defd7b543eb94"
@@ -20,14 +21,10 @@ A linear ordered (semi)field is a (semi)field equipped with a linear order such
 
 * `LinearOrderedSemifield`: Typeclass for linear order semifields.
 * `LinearOrderedField`: Typeclass for linear ordered fields.
-
-## Implementation details
-
-For olean caching reasons, this file is separate to the main file,
-`Mathlib.Algebra.Order.Field.Basic`. The lemmata are instead located there.
-
 -/
 
+-- Guard against import creep.
+assert_not_exists MonoidHom
 
 variable {α : Type*}
 
@@ -45,5 +42,62 @@ instance (priority := 100) LinearOrderedField.toLinearOrderedSemifield [LinearOr
   { LinearOrderedRing.toLinearOrderedSemiring, ‹LinearOrderedField α› with }
 #align linear_ordered_field.to_linear_ordered_semifield LinearOrderedField.toLinearOrderedSemifield
 
--- Guard against import creep.
-assert_not_exists MonoidHom
+variable [LinearOrderedSemifield α] {a b : α}
+
+@[simp] lemma inv_pos : 0 < a⁻¹ ↔ 0 < a :=
+  suffices ∀ a : α, 0 < a → 0 < a⁻¹ from ⟨fun h ↦ inv_inv a ▸ this _ h, this a⟩
+  fun a ha ↦ flip lt_of_mul_lt_mul_left ha.le <| by simp [ne_of_gt ha, zero_lt_one]
+#align inv_pos inv_pos
+
+alias ⟨_, inv_pos_of_pos⟩ := inv_pos
+#align inv_pos_of_pos inv_pos_of_pos
+
+@[simp] lemma inv_nonneg : 0 ≤ a⁻¹ ↔ 0 ≤ a := by simp only [le_iff_eq_or_lt, inv_pos, zero_eq_inv]
+#align inv_nonneg inv_nonneg
+
+alias ⟨_, inv_nonneg_of_nonneg⟩ := inv_nonneg
+#align inv_nonneg_of_nonneg inv_nonneg_of_nonneg
+
+@[simp] lemma inv_lt_zero : a⁻¹ < 0 ↔ a < 0 := by simp only [← not_le, inv_nonneg]
+#align inv_lt_zero inv_lt_zero
+
+@[simp] lemma inv_nonpos : a⁻¹ ≤ 0 ↔ a ≤ 0 := by simp only [← not_lt, inv_pos]
+#align inv_nonpos inv_nonpos
+
+lemma one_div_pos : 0 < 1 / a ↔ 0 < a := inv_eq_one_div a ▸ inv_pos
+#align one_div_pos one_div_pos
+
+lemma one_div_neg : 1 / a < 0 ↔ a < 0 := inv_eq_one_div a ▸ inv_lt_zero
+#align one_div_neg one_div_neg
+
+lemma one_div_nonneg : 0 ≤ 1 / a ↔ 0 ≤ a := inv_eq_one_div a ▸ inv_nonneg
+#align one_div_nonneg one_div_nonneg
+
+lemma one_div_nonpos : 1 / a ≤ 0 ↔ a ≤ 0 := inv_eq_one_div a ▸ inv_nonpos
+#align one_div_nonpos one_div_nonpos
+
+lemma div_pos (ha : 0 < a) (hb : 0 < b) : 0 < a / b := by
+  rw [div_eq_mul_inv]; exact mul_pos ha (inv_pos.2 hb)
+#align div_pos div_pos
+
+lemma div_nonneg (ha : 0 ≤ a) (hb : 0 ≤ b) : 0 ≤ a / b := by
+  rw [div_eq_mul_inv]; exact mul_nonneg ha (inv_nonneg.2 hb)
+#align div_nonneg div_nonneg
+
+lemma div_nonpos_of_nonpos_of_nonneg (ha : a ≤ 0) (hb : 0 ≤ b) : a / b ≤ 0 := by
+  rw [div_eq_mul_inv]; exact mul_nonpos_of_nonpos_of_nonneg ha (inv_nonneg.2 hb)
+#align div_nonpos_of_nonpos_of_nonneg div_nonpos_of_nonpos_of_nonneg
+
+lemma div_nonpos_of_nonneg_of_nonpos (ha : 0 ≤ a) (hb : b ≤ 0) : a / b ≤ 0 := by
+  rw [div_eq_mul_inv]; exact mul_nonpos_of_nonneg_of_nonpos ha (inv_nonpos.2 hb)
+#align div_nonpos_of_nonneg_of_nonpos div_nonpos_of_nonneg_of_nonpos
+
+lemma zpow_nonneg (ha : 0 ≤ a) : ∀ n : ℤ, 0 ≤ a ^ n
+  | (n : ℕ) => by rw [zpow_coe_nat]; exact pow_nonneg ha _
+  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_nonneg, zpow_coe_nat]; exact pow_nonneg ha _
+#align zpow_nonneg zpow_nonneg
+
+lemma zpow_pos_of_pos (ha : 0 < a) : ∀ n : ℤ, 0 < a ^ n
+  | (n : ℕ) => by rw [zpow_coe_nat]; exact pow_pos ha _
+  | -(n + 1 : ℕ) => by rw [zpow_neg, inv_pos, zpow_coe_nat]; exact pow_pos ha _
+#align zpow_pos_of_pos zpow_pos_of_pos

655994e2

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

@@ -29,14 +29,14 @@ For olean caching reasons, this file is separate to the main file,
 -/
 
 
-variable {α : Type _}
+variable {α : Type*}
 
 /-- A linear ordered semifield is a field with a linear order respecting the operations. -/
-class LinearOrderedSemifield (α : Type _) extends LinearOrderedCommSemiring α, Semifield α
+class LinearOrderedSemifield (α : Type*) extends LinearOrderedCommSemiring α, Semifield α
 #align linear_ordered_semifield LinearOrderedSemifield
 
 /-- A linear ordered field is a field with a linear order respecting the operations. -/
-class LinearOrderedField (α : Type _) extends LinearOrderedCommRing α, Field α
+class LinearOrderedField (α : Type*) extends LinearOrderedCommRing α, Field α
 #align linear_ordered_field LinearOrderedField
 
 -- See note [lower instance priority]

655994e2

chore: remove 'Ported by' headers (#6018)

Briefly during the port we were adding "Ported by" headers, but only ~60 / 3000 files ended up with such a header.

I propose deleting them.

We could consider adding these uniformly via a script, as part of the great history rewrite...?

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

e8318a88

Diff

@@ -2,7 +2,6 @@
 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
-Ported by: Scott Morrison
 -/
 import Mathlib.Algebra.Field.Defs
 import Mathlib.Algebra.Order.Ring.Defs

655994e2

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

@@ -3,15 +3,12 @@ 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
 Ported by: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.order.field.defs
-! leanprover-community/mathlib commit 655994e298904d7e5bbd1e18c95defd7b543eb94
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Field.Defs
 import Mathlib.Algebra.Order.Ring.Defs
 
+#align_import algebra.order.field.defs from "leanprover-community/mathlib"@"655994e298904d7e5bbd1e18c95defd7b543eb94"
+
 /-!
 # Linear ordered (semi)fields

655994e2

feat: assert_not_exists (#4245)

25809c65

Diff

@@ -49,6 +49,5 @@ instance (priority := 100) LinearOrderedField.toLinearOrderedSemifield [LinearOr
   { LinearOrderedRing.toLinearOrderedSemiring, ‹LinearOrderedField α› with }
 #align linear_ordered_field.to_linear_ordered_semifield LinearOrderedField.toLinearOrderedSemifield
 
--- Porting note: assert_not_exists has not been ported yet.
 -- Guard against import creep.
--- assert_not_exists monoid_hom
+assert_not_exists MonoidHom

655994e2

chore: add source headers to ported theory files (#1094)

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

f168625e

Diff

@@ -3,6 +3,11 @@ 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
 Ported by: Scott Morrison
+
+! This file was ported from Lean 3 source module algebra.order.field.defs
+! leanprover-community/mathlib commit 655994e298904d7e5bbd1e18c95defd7b543eb94
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Field.Defs
 import Mathlib.Algebra.Order.Ring.Defs

`algebra.order.field.defs` ⟷ `Mathlib.Algebra.Order.Field.Defs`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 1 + 60

algebra.order.field.defs ⟷ Mathlib.Algebra.Order.Field.Defs

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 1 + 60

`algebra.order.field.defs` ⟷ `Mathlib.Algebra.Order.Field.Defs`