data.nat.upto
⟷
Mathlib.Data.Nat.Upto
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/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -3,7 +3,7 @@ Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
-import Data.Nat.Order.Basic
+import Algebra.Order.Group.Nat
#align_import data.nat.upto from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
-import Mathbin.Data.Nat.Order.Basic
+import Data.Nat.Order.Basic
#align_import data.nat.upto from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module data.nat.upto
-! 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.Nat.Order.Basic
+#align_import data.nat.upto from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# `nat.upto`
mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303
@@ -65,7 +65,7 @@ protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
| ⟨x, h⟩ =>
by
suffices upto.gt p = Measure fun y : Nat.Upto p => x - y.val by rw [this]; apply measure_wf
- ext (⟨a, ha⟩⟨b, _⟩)
+ ext ⟨a, ha⟩ ⟨b, _⟩
dsimp [Measure, InvImage, upto.gt]
rw [tsub_lt_tsub_iff_left_of_le]
exact le_of_not_lt fun h' => ha _ h' h
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -83,7 +83,7 @@ def zero : Nat.Upto p :=
/-- The successor of `n` is in `nat.upto p` provided that `n` doesn't satisfy `p`. -/
def succ (x : Nat.Upto p) (h : ¬p x.val) : Nat.Upto p :=
⟨x.val.succ, fun j h' => by
- rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h';exact h]⟩
+ rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h'; exact h]⟩
#align nat.upto.succ Nat.Upto.succ
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -64,10 +64,7 @@ satisfying `p`. -/
protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
| ⟨x, h⟩ =>
by
- suffices upto.gt p = Measure fun y : Nat.Upto p => x - y.val
- by
- rw [this]
- apply measure_wf
+ suffices upto.gt p = Measure fun y : Nat.Upto p => x - y.val by rw [this]; apply measure_wf
ext (⟨a, ha⟩⟨b, _⟩)
dsimp [Measure, InvImage, upto.gt]
rw [tsub_lt_tsub_iff_left_of_le]
mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b
@@ -86,7 +86,7 @@ def zero : Nat.Upto p :=
/-- The successor of `n` is in `nat.upto p` provided that `n` doesn't satisfy `p`. -/
def succ (x : Nat.Upto p) (h : ¬p x.val) : Nat.Upto p :=
⟨x.val.succ, fun j h' => by
- rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h', exact h]⟩
+ rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h';exact h]⟩
#align nat.upto.succ Nat.Upto.succ
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Data.{Nat,Int}{.Order}.Basic
in group vs ring instances (#11924)
Scatter the content of Data.Nat.Basic
across:
Data.Nat.Defs
for the lemmas having no dependenciesAlgebra.Group.Nat
for the monoid instances and the few miscellaneous lemmas needing them.Algebra.Ring.Nat
for the semiring instance and the few miscellaneous lemmas following it.Similarly, scatter
Data.Int.Basic
across Data.Int.Defs
, Algebra.Group.Int
, Algebra.Ring.Int
Data.Nat.Order.Basic
across Data.Nat.Defs
, Algebra.Order.Group.Nat
, Algebra.Order.Ring.Nat
Data.Int.Order.Basic
across Data.Int.Defs
, Algebra.Order.Group.Int
, Algebra.Order.Ring.Int
Also move a few lemmas from Data.Nat.Order.Lemmas
to Data.Nat.Defs
.
Before
After
@@ -3,7 +3,7 @@ Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
-import Mathlib.Data.Nat.Order.Basic
+import Mathlib.Algebra.Order.Ring.Nat
#align_import data.nat.upto from "leanprover-community/mathlib"@"ee0c179cd3c8a45aa5bffbf1b41d8dbede452865"
@@ -2,14 +2,11 @@
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-
-! This file was ported from Lean 3 source module data.nat.upto
-! 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.Data.Nat.Order.Basic
+#align_import data.nat.upto from "leanprover-community/mathlib"@"ee0c179cd3c8a45aa5bffbf1b41d8dbede452865"
+
/-!
# `Nat.Upto`
@@ -55,7 +55,7 @@ instance : LT (Upto p) :=
satisfying `p`. -/
protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
| ⟨x, h⟩ => by
- suffices Upto.GT p = InvImage (· < ·) fun y : Nat.Upto p => x - y.val by
+ suffices Upto.GT p = InvImage (· < ·) fun y : Nat.Upto p => x - y.val by
rw [this]
exact (measure _).wf
ext ⟨a, ha⟩ ⟨b, _⟩
Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>
@@ -55,11 +55,11 @@ instance : LT (Upto p) :=
satisfying `p`. -/
protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
| ⟨x, h⟩ => by
- suffices Upto.GT p = Measure fun y : Nat.Upto p => x - y.val by
+ suffices Upto.GT p = InvImage (· < ·) fun y : Nat.Upto p => x - y.val by
rw [this]
exact (measure _).wf
ext ⟨a, ha⟩ ⟨b, _⟩
- dsimp [Measure, InvImage, Upto.GT]
+ dsimp [InvImage, Upto.GT]
rw [tsub_lt_tsub_iff_left_of_le (le_of_not_lt fun h' => ha _ h' h)]
#align nat.upto.wf Nat.Upto.wf
ext
(#5258)
Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
@@ -58,7 +58,7 @@ protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
suffices Upto.GT p = Measure fun y : Nat.Upto p => x - y.val by
rw [this]
exact (measure _).wf
- ext (⟨a, ha⟩⟨b, _⟩)
+ ext ⟨a, ha⟩ ⟨b, _⟩
dsimp [Measure, InvImage, Upto.GT]
rw [tsub_lt_tsub_iff_left_of_le (le_of_not_lt fun h' => ha _ h' h)]
#align nat.upto.wf Nat.Upto.wf
The main breaking change is that tac <;> [t1, t2]
is now written tac <;> [t1; t2]
, to avoid clashing with tactics like cases
and use
that take comma-separated lists.
@@ -71,7 +71,7 @@ def zero : Nat.Upto p :=
/-- The successor of `n` is in `Nat.Upto p` provided that `n` doesn't satisfy `p`. -/
def succ (x : Nat.Upto p) (h : ¬p x.val) : Nat.Upto p :=
⟨x.val.succ, fun j h' => by
- rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h', exact h]⟩
+ rcases Nat.lt_succ_iff_lt_or_eq.1 h' with (h' | rfl) <;> [exact x.2 _ h'; exact h]⟩
#align nat.upto.succ Nat.Upto.succ
end Upto
@@ -44,22 +44,22 @@ namespace Upto
variable {p : ℕ → Prop}
/-- Lift the "greater than" relation on natural numbers to `Nat.Upto`. -/
-protected def Gt (p) (x y : Upto p) : Prop :=
+protected def GT (p) (x y : Upto p) : Prop :=
x.1 > y.1
-#align nat.upto.gt Nat.Upto.Gt
+#align nat.upto.gt Nat.Upto.GT
instance : LT (Upto p) :=
⟨fun x y => x.1 < y.1⟩
/-- The "greater than" relation on `Upto p` is well founded if (and only if) there exists a value
satisfying `p`. -/
-protected theorem wf : (∃ x, p x) → WellFounded (Upto.Gt p)
+protected theorem wf : (∃ x, p x) → WellFounded (Upto.GT p)
| ⟨x, h⟩ => by
- suffices Upto.Gt p = Measure fun y : Nat.Upto p => x - y.val by
+ suffices Upto.GT p = Measure fun y : Nat.Upto p => x - y.val by
rw [this]
exact (measure _).wf
ext (⟨a, ha⟩⟨b, _⟩)
- dsimp [Measure, InvImage, Upto.Gt]
+ dsimp [Measure, InvImage, Upto.GT]
rw [tsub_lt_tsub_iff_left_of_le (le_of_not_lt fun h' => ha _ h' h)]
#align nat.upto.wf Nat.Upto.wf
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) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
+
+! This file was ported from Lean 3 source module data.nat.upto
+! 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.Data.Nat.Order.Basic