data.fin.succ_pred
⟷
Mathlib.Data.Fin.SuccPred
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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(last sync)
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -29,12 +29,12 @@ instance : ∀ {n : ℕ}, SuccOrder (Fin n)
SuccOrder.ofCore (fun i => if i < Fin.last n then i + 1 else i)
(by
intro a ha b
- rw [isMax_iff_eq_top, eq_top_iff, not_le, top_eq_last] at ha
+ rw [isMax_iff_eq_top, eq_top_iff, not_le, top_eq_last] at ha
rw [if_pos ha, lt_iff_coe_lt_coe, le_iff_coe_le_coe, coe_add_one_of_lt ha]
exact Nat.lt_iff_add_one_le)
(by
intro a ha
- rw [isMax_iff_eq_top, top_eq_last] at ha
+ rw [isMax_iff_eq_top, top_eq_last] at ha
rw [if_neg ha.not_lt])
#print Fin.succ_eq /-
@@ -57,14 +57,14 @@ instance : ∀ {n : ℕ}, PredOrder (Fin n)
PredOrder.ofCore (fun x => if x = 0 then 0 else x - 1)
(by
intro a ha b
- rw [isMin_iff_eq_bot, eq_bot_iff, not_le, bot_eq_zero] at ha
+ rw [isMin_iff_eq_bot, eq_bot_iff, not_le, bot_eq_zero] at ha
rw [if_neg ha.ne', lt_iff_coe_lt_coe, le_iff_coe_le_coe, coe_sub_one, if_neg ha.ne',
le_tsub_iff_right, Iff.comm]
exact Nat.lt_iff_add_one_le
exact ha)
(by
intro a ha
- rw [isMin_iff_eq_bot, bot_eq_zero] at ha
+ rw [isMin_iff_eq_bot, bot_eq_zero] at ha
rwa [if_pos ha, eq_comm])
#print Fin.pred_eq /-
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
-import Mathbin.Data.Fin.Basic
-import Mathbin.Order.SuccPred.Basic
+import Data.Fin.Basic
+import Order.SuccPred.Basic
#align_import data.fin.succ_pred from "leanprover-community/mathlib"@"f2f413b9d4be3a02840d0663dace76e8fe3da053"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-
-! This file was ported from Lean 3 source module data.fin.succ_pred
-! leanprover-community/mathlib commit f2f413b9d4be3a02840d0663dace76e8fe3da053
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Data.Fin.Basic
import Mathbin.Order.SuccPred.Basic
+#align_import data.fin.succ_pred from "leanprover-community/mathlib"@"f2f413b9d4be3a02840d0663dace76e8fe3da053"
+
/-!
# Successors and predecessors of `fin n`
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -40,15 +40,19 @@ instance : ∀ {n : ℕ}, SuccOrder (Fin n)
rw [isMax_iff_eq_top, top_eq_last] at ha
rw [if_neg ha.not_lt])
+#print Fin.succ_eq /-
@[simp]
theorem succ_eq {n : ℕ} : SuccOrder.succ = fun a => if a < Fin.last n then a + 1 else a :=
rfl
#align fin.succ_eq Fin.succ_eq
+-/
+#print Fin.succ_apply /-
@[simp]
theorem succ_apply {n : ℕ} (a) : SuccOrder.succ a = if a < Fin.last n then a + 1 else a :=
rfl
#align fin.succ_apply Fin.succ_apply
+-/
instance : ∀ {n : ℕ}, PredOrder (Fin n)
| 0 => by constructor <;> exact elim0
@@ -66,15 +70,19 @@ instance : ∀ {n : ℕ}, PredOrder (Fin n)
rw [isMin_iff_eq_bot, bot_eq_zero] at ha
rwa [if_pos ha, eq_comm])
+#print Fin.pred_eq /-
@[simp]
theorem pred_eq {n} : PredOrder.pred = fun a : Fin (n + 1) => if a = 0 then 0 else a - 1 :=
rfl
#align fin.pred_eq Fin.pred_eq
+-/
+#print Fin.pred_apply /-
@[simp]
theorem pred_apply {n : ℕ} (a : Fin (n + 1)) : PredOrder.pred a = if a = 0 then 0 else a - 1 :=
rfl
#align fin.pred_apply Fin.pred_apply
+-/
end Fin
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -32,12 +32,12 @@ instance : ∀ {n : ℕ}, SuccOrder (Fin n)
SuccOrder.ofCore (fun i => if i < Fin.last n then i + 1 else i)
(by
intro a ha b
- rw [isMax_iff_eq_top, eq_top_iff, not_le, top_eq_last] at ha
+ rw [isMax_iff_eq_top, eq_top_iff, not_le, top_eq_last] at ha
rw [if_pos ha, lt_iff_coe_lt_coe, le_iff_coe_le_coe, coe_add_one_of_lt ha]
exact Nat.lt_iff_add_one_le)
(by
intro a ha
- rw [isMax_iff_eq_top, top_eq_last] at ha
+ rw [isMax_iff_eq_top, top_eq_last] at ha
rw [if_neg ha.not_lt])
@[simp]
@@ -56,14 +56,14 @@ instance : ∀ {n : ℕ}, PredOrder (Fin n)
PredOrder.ofCore (fun x => if x = 0 then 0 else x - 1)
(by
intro a ha b
- rw [isMin_iff_eq_bot, eq_bot_iff, not_le, bot_eq_zero] at ha
+ rw [isMin_iff_eq_bot, eq_bot_iff, not_le, bot_eq_zero] at ha
rw [if_neg ha.ne', lt_iff_coe_lt_coe, le_iff_coe_le_coe, coe_sub_one, if_neg ha.ne',
le_tsub_iff_right, Iff.comm]
exact Nat.lt_iff_add_one_le
exact ha)
(by
intro a ha
- rw [isMin_iff_eq_bot, bot_eq_zero] at ha
+ rw [isMin_iff_eq_bot, bot_eq_zero] at ha
rwa [if_pos ha, eq_comm])
@[simp]
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -40,23 +40,11 @@ instance : ∀ {n : ℕ}, SuccOrder (Fin n)
rw [isMax_iff_eq_top, top_eq_last] at ha
rw [if_neg ha.not_lt])
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-Case conversion may be inaccurate. Consider using '#align fin.succ_eq Fin.succ_eqₓ'. -/
@[simp]
theorem succ_eq {n : ℕ} : SuccOrder.succ = fun a => if a < Fin.last n then a + 1 else a :=
rfl
#align fin.succ_eq Fin.succ_eq
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-Case conversion may be inaccurate. Consider using '#align fin.succ_apply Fin.succ_applyₓ'. -/
@[simp]
theorem succ_apply {n : ℕ} (a) : SuccOrder.succ a = if a < Fin.last n then a + 1 else a :=
rfl
@@ -78,23 +66,11 @@ instance : ∀ {n : ℕ}, PredOrder (Fin n)
rw [isMin_iff_eq_bot, bot_eq_zero] at ha
rwa [if_pos ha, eq_comm])
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-Case conversion may be inaccurate. Consider using '#align fin.pred_eq Fin.pred_eqₓ'. -/
@[simp]
theorem pred_eq {n} : PredOrder.pred = fun a : Fin (n + 1) => if a = 0 then 0 else a - 1 :=
rfl
#align fin.pred_eq Fin.pred_eq
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-Case conversion may be inaccurate. Consider using '#align fin.pred_apply Fin.pred_applyₓ'. -/
@[simp]
theorem pred_apply {n : ℕ} (a : Fin (n + 1)) : PredOrder.pred a = if a = 0 then 0 else a - 1 :=
rfl
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -21,7 +21,7 @@ to a specific `Fin` instance.
namespace Fin
instance : ∀ {n : ℕ}, SuccOrder (Fin n)
- | 0 => by constructor <;> first | assumption | intro a; exact elim0 a
+ | 0 => by constructor <;> intro a <;> exact elim0 a
| n + 1 =>
SuccOrder.ofCore (fun i => if i < Fin.last n then i + 1 else i)
(by
@@ -47,7 +47,7 @@ theorem succ_apply {n : ℕ} (a) : SuccOrder.succ a = if a < Fin.last n then a +
#align fin.succ_apply Fin.succ_apply
instance : ∀ {n : ℕ}, PredOrder (Fin n)
- | 0 => by constructor <;> first | assumption | intro a; exact elim0 a
+ | 0 => by constructor <;> first | intro a; exact elim0 a
| n + 1 =>
PredOrder.ofCore (fun x => if x = 0 then 0 else x - 1)
(by
import
(#10467)
This removes the following files from the import
closure of Data.Fin.Basic
:
Mathlib.Algebra.Group.Equiv.Basic
Mathlib.Algebra.Group.Hom.Basic
Mathlib.Algebra.Group.InjSurj
Mathlib.Algebra.Group.OrderSynonym
Mathlib.Algebra.Group.Units.Equiv
Mathlib.Algebra.Group.Units.Hom
Mathlib.Algebra.GroupWithZero.Basic
Mathlib.Algebra.GroupWithZero.InjSurj
Mathlib.Algebra.GroupWithZero.Units.Basic
Mathlib.Algebra.GroupWithZero.Units.Equiv
Mathlib.Algebra.Order.Group.Units
Mathlib.Algebra.Order.Monoid.Basic
Mathlib.Algebra.Order.Monoid.OrderDual
Mathlib.Algebra.Order.Monoid.TypeTags
Mathlib.Algebra.Order.Monoid.Units
Mathlib.Algebra.Order.WithZero
Mathlib.Data.Int.Cast.Basic
@@ -55,8 +55,7 @@ instance : ∀ {n : ℕ}, PredOrder (Fin n)
rw [isMin_iff_eq_bot, eq_bot_iff, not_le, bot_eq_zero] at ha
dsimp
rw [if_neg ha.ne', lt_iff_val_lt_val, le_iff_val_le_val, coe_sub_one, if_neg ha.ne',
- le_tsub_iff_right, Iff.comm]
- exact Nat.lt_iff_add_one_le
+ Nat.lt_iff_add_one_le, Nat.le_sub_iff_add_le]
exact ha)
(by
intro a ha
@@ -2,15 +2,12 @@
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-
-! This file was ported from Lean 3 source module data.fin.succ_pred
-! leanprover-community/mathlib commit 7c523cb78f4153682c2929e3006c863bfef463d0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Data.Fin.Basic
import Mathlib.Order.SuccPred.Basic
+#align_import data.fin.succ_pred from "leanprover-community/mathlib"@"7c523cb78f4153682c2929e3006c863bfef463d0"
+
/-!
# Successors and predecessors of `Fin n`