data.int.sqrtMathlib.Data.Int.Sqrt

This file has been ported!

Changes since the initial port

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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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
 -/
-import Data.Nat.Sqrt
+import Data.Nat.Defs
 
 #align_import data.int.sqrt from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
 
Diff
@@ -44,7 +44,7 @@ theorem exists_mul_self (x : ℤ) : (∃ n, n * n = x) ↔ sqrt x * sqrt x = x :
 
 #print Int.sqrt_nonneg /-
 theorem sqrt_nonneg (n : ℤ) : 0 ≤ sqrt n :=
-  coe_nat_nonneg _
+  natCast_nonneg _
 #align int.sqrt_nonneg Int.sqrt_nonneg
 -/
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
 -/
-import Mathbin.Data.Nat.Sqrt
+import Data.Nat.Sqrt
 
 #align_import data.int.sqrt from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
-
-! This file was ported from Lean 3 source module data.int.sqrt
-! leanprover-community/mathlib commit c3291da49cfa65f0d43b094750541c0731edc932
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Nat.Sqrt
 
+#align_import data.int.sqrt from "leanprover-community/mathlib"@"c3291da49cfa65f0d43b094750541c0731edc932"
+
 /-!
 # Square root of integers
 

Changes in mathlib4

mathlib3
mathlib4
chore(Data/Nat/Defs): Integrate Nat.sqrt material (#11866)

Move the content of Data.Nat.ForSqrt and Data.Nat.Sqrt to Data.Nat.Defs by using Nat-specific Std lemmas rather than the mathlib general ones. This makes it ready to move to Std if wanted.

Diff
@@ -3,7 +3,9 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
 -/
-import Mathlib.Data.Nat.Sqrt
+import Mathlib.Data.Int.Defs
+import Mathlib.Data.Nat.Defs
+import Mathlib.Tactic.Common
 
 #align_import data.int.sqrt from "leanprover-community/mathlib"@"ba2245edf0c8bb155f1569fd9b9492a9b384cde6"
 
@@ -37,9 +39,4 @@ theorem sqrt_nonneg (n : ℤ) : 0 ≤ sqrt n :=
   natCast_nonneg _
 #align int.sqrt_nonneg Int.sqrt_nonneg
 
-/-- `IsSquare` can be decided on `ℤ` by checking against the square root. -/
-instance : DecidablePred (IsSquare : ℤ → Prop) :=
-  fun m => decidable_of_iff' (sqrt m * sqrt m = m) <| by
-    simp_rw [← exists_mul_self m, IsSquare, eq_comm]
-
 end Int
chore(Data/Int): Rename coe_nat to natCast (#11637)

Reduce the diff of #11499

Renames

All in the Int namespace:

  • ofNat_eq_castofNat_eq_natCast
  • cast_eq_cast_iff_NatnatCast_inj
  • natCast_eq_ofNatofNat_eq_natCast
  • coe_nat_subnatCast_sub
  • coe_nat_nonnegnatCast_nonneg
  • sign_coe_add_onesign_natCast_add_one
  • nat_succ_eq_int_succnatCast_succ
  • succ_neg_nat_succsucc_neg_natCast_succ
  • coe_pred_of_posnatCast_pred_of_pos
  • coe_nat_divnatCast_div
  • coe_nat_edivnatCast_ediv
  • sign_coe_nat_of_nonzerosign_natCast_of_ne_zero
  • toNat_coe_nattoNat_natCast
  • toNat_coe_nat_add_onetoNat_natCast_add_one
  • coe_nat_dvdnatCast_dvd_natCast
  • coe_nat_dvd_leftnatCast_dvd
  • coe_nat_dvd_rightdvd_natCast
  • le_coe_nat_suble_natCast_sub
  • succ_coe_nat_possucc_natCast_pos
  • coe_nat_modEq_iffnatCast_modEq_iff
  • coe_natAbsnatCast_natAbs
  • coe_nat_eq_zeronatCast_eq_zero
  • coe_nat_ne_zeronatCast_ne_zero
  • coe_nat_ne_zero_iff_posnatCast_ne_zero_iff_pos
  • abs_coe_natabs_natCast
  • coe_nat_nonpos_iffnatCast_nonpos_iff

Also rename Nat.coe_nat_dvd to Nat.cast_dvd_cast

Diff
@@ -26,7 +26,7 @@ def sqrt (z : ℤ) : ℤ :=
 #align int.sqrt Int.sqrt
 
 theorem sqrt_eq (n : ℤ) : sqrt (n * n) = n.natAbs := by
-  rw [sqrt, ← natAbs_mul_self, toNat_coe_nat, Nat.sqrt_eq]
+  rw [sqrt, ← natAbs_mul_self, toNat_natCast, Nat.sqrt_eq]
 #align int.sqrt_eq Int.sqrt_eq
 
 theorem exists_mul_self (x : ℤ) : (∃ n, n * n = x) ↔ sqrt x * sqrt x = x :=
@@ -34,7 +34,7 @@ theorem exists_mul_self (x : ℤ) : (∃ n, n * n = x) ↔ sqrt x * sqrt x = x :
 #align int.exists_mul_self Int.exists_mul_self
 
 theorem sqrt_nonneg (n : ℤ) : 0 ≤ sqrt n :=
-  coe_nat_nonneg _
+  natCast_nonneg _
 #align int.sqrt_nonneg Int.sqrt_nonneg
 
 /-- `IsSquare` can be decided on `ℤ` by checking against the square root. -/
chore: space after (#8178)

Co-authored-by: Moritz Firsching <firsching@google.com>

Diff
@@ -40,6 +40,6 @@ theorem sqrt_nonneg (n : ℤ) : 0 ≤ sqrt n :=
 /-- `IsSquare` can be decided on `ℤ` by checking against the square root. -/
 instance : DecidablePred (IsSquare : ℤ → Prop) :=
   fun m => decidable_of_iff' (sqrt m * sqrt m = m) <| by
-    simp_rw [←exists_mul_self m, IsSquare, eq_comm]
+    simp_rw [← exists_mul_self m, IsSquare, eq_comm]
 
 end Int
feat(Data/*/Sqrt): decidability of IsSquare (#7935)

Zulip thread

Diff
@@ -37,4 +37,9 @@ theorem sqrt_nonneg (n : ℤ) : 0 ≤ sqrt n :=
   coe_nat_nonneg _
 #align int.sqrt_nonneg Int.sqrt_nonneg
 
+/-- `IsSquare` can be decided on `ℤ` by checking against the square root. -/
+instance : DecidablePred (IsSquare : ℤ → Prop) :=
+  fun m => decidable_of_iff' (sqrt m * sqrt m = m) <| by
+    simp_rw [←exists_mul_self m, IsSquare, eq_comm]
+
 end Int
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau
-
-! This file was ported from Lean 3 source module data.int.sqrt
-! leanprover-community/mathlib commit ba2245edf0c8bb155f1569fd9b9492a9b384cde6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Nat.Sqrt
 
+#align_import data.int.sqrt from "leanprover-community/mathlib"@"ba2245edf0c8bb155f1569fd9b9492a9b384cde6"
+
 /-!
 # Square root of integers
 
feat: port Data.Int.Sqrt (#1167)

Only notable thing here is that @[pp_nodot] was commented out since that is currently an unknown attribute. Hope that's the way to do it!

Dependencies 2 + 121

122 files ported (98.4%)
49098 lines ported (99.7%)
Show graph

The unported dependencies are