data.set.opposite
⟷
Mathlib.Data.Set.Opposite
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
-import Mathbin.Data.Opposite
-import Mathbin.Data.Set.Image
+import Data.Opposite
+import Data.Set.Image
#align_import data.set.opposite from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-
-! This file was ported from Lean 3 source module data.set.opposite
-! 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.Data.Opposite
import Mathbin.Data.Set.Image
+#align_import data.set.opposite from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# The opposite of a set
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Data.Set.Basic
from scripts/noshake.json
.example
s only,
move these example
s to a new test file.Order.Filter.Basic
dependency on Control.Traversable.Instances
,
as the relevant parts were moved to Order.Filter.ListTraverse
.lake exe shake --fix
.@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.Data.Opposite
-import Mathlib.Data.Set.Basic
+import Mathlib.Data.Set.Defs
#align_import data.set.opposite from "leanprover-community/mathlib"@"fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e"
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.Data.Opposite
-import Mathlib.Data.Set.Image
+import Mathlib.Data.Set.Basic
#align_import data.set.opposite from "leanprover-community/mathlib"@"fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -14,7 +14,7 @@ import Mathlib.Data.Set.Image
The opposite of a set `s` is simply the set obtained by taking the opposite of each member of `s`.
-/
-variable {α : Type _}
+variable {α : Type*}
open Opposite
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>
@@ -2,7 +2,6 @@
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-Ported by: Joël Riou
-/
import Mathlib.Data.Opposite
import Mathlib.Data.Set.Image
@@ -3,15 +3,12 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
Ported by: Joël Riou
-
-! This file was ported from Lean 3 source module data.set.opposite
-! leanprover-community/mathlib commit fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Data.Opposite
import Mathlib.Data.Set.Image
+#align_import data.set.opposite from "leanprover-community/mathlib"@"fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e"
+
/-!
# The opposite of a set
This PR is the result of running
find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;
which firstly replaces .
focusing dots with ·
and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.
@@ -80,32 +80,32 @@ def opEquiv : Set α ≃ Set αᵒᵖ :=
theorem singleton_op (x : α) : ({x} : Set α).op = {op x} := by
ext
constructor
- . apply unop_injective
- . apply op_injective
+ · apply unop_injective
+ · apply op_injective
#align set.singleton_op Set.singleton_op
@[simp]
theorem singleton_unop (x : αᵒᵖ) : ({x} : Set αᵒᵖ).unop = {unop x} := by
ext
constructor
- . apply op_injective
- . apply unop_injective
+ · apply op_injective
+ · apply unop_injective
#align set.singleton_unop Set.singleton_unop
@[simp 1100]
theorem singleton_op_unop (x : α) : ({op x} : Set αᵒᵖ).unop = {x} := by
ext
constructor
- . apply op_injective
- . apply unop_injective
+ · apply op_injective
+ · apply unop_injective
#align set.singleton_op_unop Set.singleton_op_unop
@[simp 1100]
theorem singleton_unop_op (x : αᵒᵖ) : ({unop x} : Set α).op = {x} := by
ext
constructor
- . apply unop_injective
- . apply op_injective
+ · apply unop_injective
+ · apply op_injective
#align set.singleton_unop_op Set.singleton_unop_op
end Set
@@ -77,19 +77,35 @@ def opEquiv : Set α ≃ Set αᵒᵖ :=
#align set.op_equiv_apply Set.opEquiv_apply
@[simp]
-theorem singleton_op (x : α) : ({x} : Set α).op = {op x} := rfl
+theorem singleton_op (x : α) : ({x} : Set α).op = {op x} := by
+ ext
+ constructor
+ . apply unop_injective
+ . apply op_injective
#align set.singleton_op Set.singleton_op
@[simp]
-theorem singleton_unop (x : αᵒᵖ) : ({x} : Set αᵒᵖ).unop = {unop x} := rfl
+theorem singleton_unop (x : αᵒᵖ) : ({x} : Set αᵒᵖ).unop = {unop x} := by
+ ext
+ constructor
+ . apply op_injective
+ . apply unop_injective
#align set.singleton_unop Set.singleton_unop
-@[simp]
-theorem singleton_op_unop (x : α) : ({op x} : Set αᵒᵖ).unop = {x} := rfl
+@[simp 1100]
+theorem singleton_op_unop (x : α) : ({op x} : Set αᵒᵖ).unop = {x} := by
+ ext
+ constructor
+ . apply op_injective
+ . apply unop_injective
#align set.singleton_op_unop Set.singleton_op_unop
-@[simp]
-theorem singleton_unop_op (x : αᵒᵖ) : ({unop x} : Set α).op = {x} := rfl
+@[simp 1100]
+theorem singleton_unop_op (x : αᵒᵖ) : ({unop x} : Set α).op = {x} := by
+ ext
+ constructor
+ . apply unop_injective
+ . apply op_injective
#align set.singleton_unop_op Set.singleton_unop_op
end Set
This PR is the result of a slight variant on the following "algorithm"
_
and make all uppercase letters into lowercase_
and make all uppercase letters into lowercase(original_lean3_name, OriginalLean4Name)
#align
statement just before the next empty line#align
statement to have been inserted too early)@@ -27,52 +27,69 @@ namespace Set
/-- The opposite of a set `s` is the set obtained by taking the opposite of each member of `s`. -/
protected def op (s : Set α) : Set αᵒᵖ :=
unop ⁻¹' s
+#align set.op Set.op
/-- The unop of a set `s` is the set obtained by taking the unop of each member of `s`. -/
protected def unop (s : Set αᵒᵖ) : Set α :=
op ⁻¹' s
+#align set.unop Set.unop
@[simp]
theorem mem_op {s : Set α} {a : αᵒᵖ} : a ∈ s.op ↔ unop a ∈ s :=
Iff.rfl
+#align set.mem_op Set.mem_op
@[simp 1100]
theorem op_mem_op {s : Set α} {a : α} : op a ∈ s.op ↔ a ∈ s := by rfl
+#align set.op_mem_op Set.op_mem_op
@[simp]
theorem mem_unop {s : Set αᵒᵖ} {a : α} : a ∈ s.unop ↔ op a ∈ s :=
Iff.rfl
+#align set.mem_unop Set.mem_unop
@[simp 1100]
theorem unop_mem_unop {s : Set αᵒᵖ} {a : αᵒᵖ} : unop a ∈ s.unop ↔ a ∈ s := by rfl
+#align set.unop_mem_unop Set.unop_mem_unop
@[simp]
theorem op_unop (s : Set α) : s.op.unop = s := rfl
+#align set.op_unop Set.op_unop
@[simp]
theorem unop_op (s : Set αᵒᵖ) : s.unop.op = s := rfl
+#align set.unop_op Set.unop_op
/-- The members of the opposite of a set are in bijection with the members of the set itself. -/
@[simps]
def opEquiv_self (s : Set α) : s.op ≃ s :=
⟨fun x ↦ ⟨unop x, x.2⟩, fun x ↦ ⟨op x, x.2⟩, fun _ ↦ rfl, fun _ ↦ rfl⟩
#align set.op_equiv_self Set.opEquiv_self
+#align set.op_equiv_self_apply_coe Set.opEquiv_self_apply_coe
+#align set.op_equiv_self_symm_apply_coe Set.opEquiv_self_symm_apply_coe
/-- Taking opposites as an equivalence of powersets. -/
@[simps]
def opEquiv : Set α ≃ Set αᵒᵖ :=
⟨Set.op, Set.unop, op_unop, unop_op⟩
+#align set.op_equiv Set.opEquiv
+#align set.op_equiv_symm_apply Set.opEquiv_symm_apply
+#align set.op_equiv_apply Set.opEquiv_apply
@[simp]
theorem singleton_op (x : α) : ({x} : Set α).op = {op x} := rfl
+#align set.singleton_op Set.singleton_op
@[simp]
theorem singleton_unop (x : αᵒᵖ) : ({x} : Set αᵒᵖ).unop = {unop x} := rfl
+#align set.singleton_unop Set.singleton_unop
@[simp]
theorem singleton_op_unop (x : α) : ({op x} : Set αᵒᵖ).unop = {x} := rfl
+#align set.singleton_op_unop Set.singleton_op_unop
@[simp]
theorem singleton_unop_op (x : αᵒᵖ) : ({unop x} : Set α).op = {x} := rfl
+#align set.singleton_unop_op Set.singleton_unop_op
end Set
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
@@ -3,6 +3,11 @@ Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
Ported by: Joël Riou
+
+! This file was ported from Lean 3 source module data.set.opposite
+! leanprover-community/mathlib commit fc2ed6f838ce7c9b7c7171e58d78eaf7b438fb0e
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Data.Opposite
import Mathlib.Data.Set.Image
All dependencies are ported!