data.nat.cast.with_top
⟷
Mathlib.Data.Nat.Cast.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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mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Algebra.Order.Monoid.WithTop
-import Data.Nat.Defs
+import Algebra.Group.Nat
#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Algebra.Order.Monoid.WithTop
-import Data.Nat.Basic
+import Data.Nat.Defs
#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
-import Mathbin.Algebra.Order.Monoid.WithTop
-import Mathbin.Data.Nat.Basic
+import Algebra.Order.Monoid.WithTop
+import Data.Nat.Basic
#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.nat.cast.with_top
-! 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.Monoid.WithTop
import Mathbin.Data.Nat.Basic
+#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# Lemma about the coercion `ℕ → with_bot ℕ`.
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
A mix of various changes; generated with a script and manually tweaked.
@@ -12,7 +12,7 @@ import Mathlib.Algebra.Ring.Nat
# Lemma about the coercion `ℕ → WithBot ℕ`.
An orphaned lemma about casting from `ℕ` to `WithBot ℕ`,
-exiled here to minimize imports to `data.rat.order` for porting purposes.
+exiled here during the port to minimize imports of `Data.Rat.Order`.
-/
instance : WellFoundedRelation (WithTop ℕ) where
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
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathlib.Algebra.Order.Monoid.WithTop
-import Mathlib.Data.Nat.Basic
+import Mathlib.Algebra.Ring.Nat
#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"ee0c179cd3c8a45aa5bffbf1b41d8dbede452865"
@@ -2,15 +2,12 @@
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-
-! This file was ported from Lean 3 source module data.nat.cast.with_top
-! 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.Monoid.WithTop
import Mathlib.Data.Nat.Basic
+#align_import data.nat.cast.with_top from "leanprover-community/mathlib"@"ee0c179cd3c8a45aa5bffbf1b41d8dbede452865"
+
/-!
# Lemma about the coercion `ℕ → WithBot ℕ`.
termination_by'
(#5426)
This adds a couple of WellFoundedRelation
instances, like for example WellFoundedRelation (WithBot Nat)
. Longer-term, we should probably add a WellFoundedOrder
class for types with a well-founded less-than relation and a [WellFoundOrder α] : WellFoundedRelation α
instance (or maybe just [LT α] [IsWellFounded fun a b : α => a < b] : WellFoundedRelation α
).
@@ -18,6 +18,9 @@ An orphaned lemma about casting from `ℕ` to `WithBot ℕ`,
exiled here to minimize imports to `data.rat.order` for porting purposes.
-/
+instance : WellFoundedRelation (WithTop ℕ) where
+ rel := (· < ·)
+ wf := IsWellFounded.wf
theorem Nat.cast_withTop (n : ℕ) : Nat.cast n = WithTop.some n :=
rfl
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 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
+
+! This file was ported from Lean 3 source module data.nat.cast.with_top
+! 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.Monoid.WithTop
import Mathlib.Data.Nat.Basic