algebra.order.sub.with_top
⟷
Mathlib.Algebra.Order.Sub.WithTop
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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with_top
/with_bot
(#18487)
Backport leanprover-community/mathlib4#2406
@@ -33,6 +33,11 @@ instance : has_sub (with_top α) :=
@[simp] lemma top_sub_coe {a : α} : (⊤ : with_top α) - a = ⊤ := rfl
@[simp] lemma sub_top {a : with_top α} : a - ⊤ = 0 := by { cases a; refl }
+@[simp] theorem sub_eq_top_iff : ∀ {a b : with_top α}, a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤
+| _ ⊤ := by simp
+| ⊤ (b : α) := by simp
+| (a : α) (b : α) := by simp only [← coe_sub, coe_ne_top, false_and]
+
lemma map_sub [has_sub β] [has_zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y)
(h₀ : f 0 = 0) :
∀ x y : with_top α, (x - y).map f = x.map f - y.map f
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -76,7 +76,7 @@ theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x
end
-variable [CanonicallyOrderedAddMonoid α] [Sub α] [OrderedSub α]
+variable [CanonicallyOrderedAddCommMonoid α] [Sub α] [OrderedSub α]
instance : OrderedSub (WithTop α) := by
constructor
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
-import Mathbin.Algebra.Order.Sub.Defs
-import Mathbin.Algebra.Order.Monoid.WithTop
+import Algebra.Order.Sub.Defs
+import Algebra.Order.Monoid.WithTop
#align_import algebra.order.sub.with_top from "leanprover-community/mathlib"@"afdb4fa3b32d41106a4a09b371ce549ad7958abd"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module algebra.order.sub.with_top
-! leanprover-community/mathlib commit afdb4fa3b32d41106a4a09b371ce549ad7958abd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Order.Sub.Defs
import Mathbin.Algebra.Order.Monoid.WithTop
+#align_import algebra.order.sub.with_top from "leanprover-community/mathlib"@"afdb4fa3b32d41106a4a09b371ce549ad7958abd"
+
/-!
# Lemma about subtraction in ordered monoids with a top element adjoined.
mathlib commit https://github.com/leanprover-community/mathlib/commit/271bf175e6c51b8d31d6c0107b7bb4a967c7277e
@@ -59,12 +59,14 @@ theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
#align with_top.sub_top WithTop.sub_top
-/
+#print WithTop.sub_eq_top_iff /-
@[simp]
theorem sub_eq_top_iff : ∀ {a b : WithTop α}, a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤
| _, ⊤ => by simp
| ⊤, (b : α) => by simp
| (a : α), (b : α) => by simp only [← coe_sub, coe_ne_top, false_and_iff]
#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
+-/
#print WithTop.map_sub /-
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
mathlib commit https://github.com/leanprover-community/mathlib/commit/271bf175e6c51b8d31d6c0107b7bb4a967c7277e
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
! This file was ported from Lean 3 source module algebra.order.sub.with_top
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
+! leanprover-community/mathlib commit afdb4fa3b32d41106a4a09b371ce549ad7958abd
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -59,6 +59,13 @@ theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
#align with_top.sub_top WithTop.sub_top
-/
+@[simp]
+theorem sub_eq_top_iff : ∀ {a b : WithTop α}, a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤
+ | _, ⊤ => by simp
+ | ⊤, (b : α) => by simp
+ | (a : α), (b : α) => by simp only [← coe_sub, coe_ne_top, false_and_iff]
+#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
+
#print WithTop.map_sub /-
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
∀ x y : WithTop α, (x - y).map f = x.map f - y.map f
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -47,8 +47,8 @@ theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
@[simp] theorem sub_eq_top_iff {a b : WithTop α} : a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤ := by
induction a using recTopCoe <;> induction b using recTopCoe <;>
- simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, top_sub_coe, false_and,
- Ne.def, not_true_eq_false, not_false_eq_true, and_false, and_self]
+ simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, top_sub_coe, false_and, Ne,
+ not_true_eq_false, not_false_eq_true, and_false, and_self]
#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
This is the supremum of
along with some minor fixes from failures on nightly-testing as Mathlib master
is merged into it.
Note that some PRs for changes that are already compatible with the current toolchain and will be necessary have already been split out: #8380.
I am hopeful that in future we will be able to progressively merge adaptation PRs into a bump/v4.X.0
branch, so we never end up with a "big merge" like this. However one of these adaptation PRs (#8056) predates my new scheme for combined CI, and it wasn't possible to keep that PR viable in the meantime.
In particular this includes adjustments for the Lean PRs
We can get rid of all the
local macro_rules | `($x ^ $y) => `(HPow.hPow $x $y) -- Porting note: See issue [lean4#2220](https://github.com/leanprover/lean4/pull/2220)
macros across Mathlib (and in any projects that want to write natural number powers of reals).
Changes the default behaviour of simp
to (config := {decide := false})
. This makes simp
(and consequentially norm_num
) less powerful, but also more consistent, and less likely to blow up in long failures. This requires a variety of changes: changing some previously by simp
or norm_num
to decide
or rfl
, or adding (config := {decide := true})
.
This changed the behaviour of simp
so that simp [f]
will only unfold "fully applied" occurrences of f
. The old behaviour can be recovered with simp (config := { unfoldPartialApp := true })
. We may in future add a syntax for this, e.g. simp [!f]
; please provide feedback! In the meantime, we have made the following changes:
(config := { unfoldPartialApp := true })
in some places, to recover the old behaviour@[eqns]
to manually adjust the equation lemmas for a particular definition, recovering the old behaviour just for that definition. See #8371, where we do this for Function.comp
and Function.flip
.This change in Lean may require further changes down the line (e.g. adding the !f
syntax, and/or upstreaming the special treatment for Function.comp
and Function.flip
, and/or removing this special treatment). Please keep an open and skeptical mind about these changes!
Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mauricio Collares <mauricio@collares.org>
@@ -47,8 +47,8 @@ theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
@[simp] theorem sub_eq_top_iff {a b : WithTop α} : a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤ := by
induction a using recTopCoe <;> induction b using recTopCoe <;>
- simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, coe_ne_top, top_sub_coe, false_and,
- Ne.def]
+ simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, top_sub_coe, false_and,
+ Ne.def, not_true_eq_false, not_false_eq_true, and_false, and_self]
#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
Renames:
CanonicallyOrderedMonoid
->
CanonicallyOrderedCommMonoid
CanonicallyOrderedAddMonoid
->
CanonicallyOrderedAddCommMonoid
CanonicallyLinearOrderedMonoid
->
CanonicallyLinearOrderedCommMonoid
CanonicallyLinearOrderedAddMonoid
->
CanonicallyLinearOrderedAddCommMonoid
@@ -60,7 +60,7 @@ theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x
end
-variable [CanonicallyOrderedAddMonoid α] [Sub α] [OrderedSub α]
+variable [CanonicallyOrderedAddCommMonoid α] [Sub α] [OrderedSub α]
instance : OrderedSub (WithTop α) := by
constructor
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.Monoid.WithTop
-/
-variable {α β : Type _}
+variable {α β : Type*}
namespace WithTop
@@ -2,15 +2,12 @@
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-
-! This file was ported from Lean 3 source module algebra.order.sub.with_top
-! leanprover-community/mathlib commit afdb4fa3b32d41106a4a09b371ce549ad7958abd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Sub.Defs
import Mathlib.Algebra.Order.Monoid.WithTop
+#align_import algebra.order.sub.with_top from "leanprover-community/mathlib"@"afdb4fa3b32d41106a4a09b371ce549ad7958abd"
+
/-!
# Lemma about subtraction in ordered monoids with a top element adjoined.
-/
WithTop
/WithBot
(#2406)
Some of these lemmas are generalized from ENNReal
while porting Data.Real.ENNReal
. Backported to Mathlib 3 in leanprover-community/mathlib#18487, now forward-porting back to Mathlib 4. Also forward-porting leanprover-community/mathlib#18391
order.with_bot
@995b47e555f1b6297c7cf16855f1023e355219fb
..afdb4fa3b32d41106a4a09b371ce549ad7958abd
algebra.order.monoid.with_top
@e7e2ba8aa216a5833b5ed85a93317263711a36b5
..afdb4fa3b32d41106a4a09b371ce549ad7958abd
algebra.order.sub.with_top
@10b4e499f43088dd3bb7b5796184ad5216648ab1
..afdb4fa3b32d41106a4a09b371ce549ad7958abd
algebra.order.ring.with_top
@e7e2ba8aa216a5833b5ed85a93317263711a36b5
..afdb4fa3b32d41106a4a09b371ce549ad7958abd
data.list.big_operators.basic
@47adfab39a11a072db552f47594bf8ed2cf8a722
..6c5f73fd6f6cc83122788a80a27cdd54663609f4
algebra.big_operators.order
@509de852e1de55e1efa8eacfa11df0823f26f226
..afdb4fa3b32d41106a4a09b371ce549ad7958abd
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
! This file was ported from Lean 3 source module algebra.order.sub.with_top
-! leanprover-community/mathlib commit 10b4e499f43088dd3bb7b5796184ad5216648ab1
+! leanprover-community/mathlib commit afdb4fa3b32d41106a4a09b371ce549ad7958abd
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -48,6 +48,12 @@ theorem top_sub_coe {a : α} : (⊤ : WithTop α) - a = ⊤ :=
theorem sub_top {a : WithTop α} : a - ⊤ = 0 := by cases a <;> rfl
#align with_top.sub_top WithTop.sub_top
+@[simp] theorem sub_eq_top_iff {a b : WithTop α} : a - b = ⊤ ↔ a = ⊤ ∧ b ≠ ⊤ := by
+ induction a using recTopCoe <;> induction b using recTopCoe <;>
+ simp only [← coe_sub, coe_ne_top, sub_top, zero_ne_top, coe_ne_top, top_sub_coe, false_and,
+ Ne.def]
+#align with_top.sub_eq_top_iff WithTop.sub_eq_top_iff
+
theorem map_sub [Sub β] [Zero β] {f : α → β} (h : ∀ x y, f (x - y) = f x - f y) (h₀ : f 0 = 0) :
∀ x y : WithTop α, (x - y).map f = x.map f - y.map f
| _, ⊤ => by simp only [h₀, sub_top, WithTop.map_zero, coe_zero, map_top]
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) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
+
+! This file was ported from Lean 3 source module algebra.order.sub.with_top
+! leanprover-community/mathlib commit 10b4e499f43088dd3bb7b5796184ad5216648ab1
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Sub.Defs
import Mathlib.Algebra.Order.Monoid.WithTop