number_theory.zsqrtd.to_realMathlib.NumberTheory.Zsqrtd.ToReal

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
@@ -3,8 +3,8 @@ Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
-import Mathbin.Data.Real.Sqrt
-import Mathbin.NumberTheory.Zsqrtd.Basic
+import Data.Real.Sqrt
+import NumberTheory.Zsqrtd.Basic
 
 #align_import number_theory.zsqrtd.to_real from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module number_theory.zsqrtd.to_real
-! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Real.Sqrt
 import Mathbin.NumberTheory.Zsqrtd.Basic
 
+#align_import number_theory.zsqrtd.to_real from "leanprover-community/mathlib"@"97eab48559068f3d6313da387714ef25768fb730"
+
 /-!
 # Image of `zsqrtd` in `ℝ`
 
Diff
@@ -34,10 +34,12 @@ noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
 #align zsqrtd.to_real Zsqrtd.toReal
 -/
 
+#print Zsqrtd.toReal_injective /-
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
     Function.Injective (toReal h0d) :=
   lift_injective _ hd
 #align zsqrtd.to_real_injective Zsqrtd.toReal_injective
+-/
 
 end Zsqrtd
 
Diff
@@ -34,12 +34,6 @@ noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
 #align zsqrtd.to_real Zsqrtd.toReal
 -/
 
-/- warning: zsqrtd.to_real_injective -> Zsqrtd.toReal_injective is a dubious translation:
-lean 3 declaration is
-  forall {d : Int} (h0d : LE.le.{0} Int Int.hasLe (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.hasMul) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (coeFn.{1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (fun (_x : RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) => (Zsqrtd d) -> Real) (RingHom.hasCoeToFun.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (Zsqrtd.toReal d h0d)))
-but is expected to have type
-  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring))))) (Zsqrtd.toReal d h0d)))
-Case conversion may be inaccurate. Consider using '#align zsqrtd.to_real_injective Zsqrtd.toReal_injectiveₓ'. -/
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
     Function.Injective (toReal h0d) :=
   lift_injective _ hd
Diff
@@ -38,7 +38,7 @@ noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
 lean 3 declaration is
   forall {d : Int} (h0d : LE.le.{0} Int Int.hasLe (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.hasMul) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (coeFn.{1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (fun (_x : RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) => (Zsqrtd d) -> Real) (RingHom.hasCoeToFun.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (Zsqrtd.toReal d h0d)))
 but is expected to have type
-  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring))))) (Zsqrtd.toReal d h0d)))
+  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring))))) (Zsqrtd.toReal d h0d)))
 Case conversion may be inaccurate. Consider using '#align zsqrtd.to_real_injective Zsqrtd.toReal_injectiveₓ'. -/
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
     Function.Injective (toReal h0d) :=
Diff
@@ -38,7 +38,7 @@ noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
 lean 3 declaration is
   forall {d : Int} (h0d : LE.le.{0} Int Int.hasLe (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.hasMul) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (coeFn.{1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (fun (_x : RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) => (Zsqrtd d) -> Real) (RingHom.hasCoeToFun.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (Zsqrtd.toReal d h0d)))
 but is expected to have type
-  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))))) (Zsqrtd.toReal d h0d)))
+  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring)) (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (Semiring.toNonAssocSemiring.{0} (Zsqrtd d) (Zsqrtd.instSemiringZsqrtd d)) (Semiring.toNonAssocSemiring.{0} Real Real.semiring))))) (Zsqrtd.toReal d h0d)))
 Case conversion may be inaccurate. Consider using '#align zsqrtd.to_real_injective Zsqrtd.toReal_injectiveₓ'. -/
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
     Function.Injective (toReal h0d) :=
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 
 ! This file was ported from Lean 3 source module number_theory.zsqrtd.to_real
-! leanprover-community/mathlib commit e59154361202a34b26176e0de9267ef8e2dcd446
+! leanprover-community/mathlib commit 97eab48559068f3d6313da387714ef25768fb730
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.NumberTheory.Zsqrtd.Basic
 /-!
 # Image of `zsqrtd` in `ℝ`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines `zsqrtd.to_real` and related lemmas.
 It is in a separate file to avoid pulling in all of `data.real` into `data.zsqrtd`.
 -/
Diff
@@ -21,6 +21,7 @@ It is in a separate file to avoid pulling in all of `data.real` into `data.zsqrt
 
 namespace Zsqrtd
 
+#print Zsqrtd.toReal /-
 /-- The image of `zsqrtd` in `ℝ`, using `real.sqrt` which takes the positive root of `d`.
 
 If the negative root is desired, use `to_real h a.conj`. -/
@@ -28,7 +29,14 @@ If the negative root is desired, use `to_real h a.conj`. -/
 noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
   lift ⟨Real.sqrt d, Real.mul_self_sqrt (Int.cast_nonneg.mpr h)⟩
 #align zsqrtd.to_real Zsqrtd.toReal
+-/
 
+/- warning: zsqrtd.to_real_injective -> Zsqrtd.toReal_injective is a dubious translation:
+lean 3 declaration is
+  forall {d : Int} (h0d : LE.le.{0} Int Int.hasLe (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.hasMul) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (coeFn.{1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (fun (_x : RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) => (Zsqrtd d) -> Real) (RingHom.hasCoeToFun.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.ring d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring))) (Zsqrtd.toReal d h0d)))
+but is expected to have type
+  forall {d : Int} (h0d : LE.le.{0} Int Int.instLEInt (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) d), (forall (n : Int), Ne.{1} Int d (HMul.hMul.{0, 0, 0} Int Int Int (instHMul.{0} Int Int.instMulInt) n n)) -> (Function.Injective.{1, 1} (Zsqrtd d) Real (FunLike.coe.{1, 1, 1} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) (fun (_x : Zsqrtd d) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Zsqrtd d) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonUnitalNonAssocSemiring.toMul.{0} (Zsqrtd d) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))))) (NonUnitalNonAssocSemiring.toMul.{0} Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))) (NonUnitalRingHomClass.toMulHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} (Zsqrtd d) (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (RingHomClass.toNonUnitalRingHomClass.{0, 0, 0} (RingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal))) (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)) (RingHom.instRingHomClassRingHom.{0, 0} (Zsqrtd d) Real (NonAssocRing.toNonAssocSemiring.{0} (Zsqrtd d) (Ring.toNonAssocRing.{0} (Zsqrtd d) (Zsqrtd.instRingZsqrtd d))) (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))))) (Zsqrtd.toReal d h0d)))
+Case conversion may be inaccurate. Consider using '#align zsqrtd.to_real_injective Zsqrtd.toReal_injectiveₓ'. -/
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
     Function.Injective (toReal h0d) :=
   lift_injective _ hd

Changes in mathlib4

mathlib3
mathlib4
feat: add notation for Real.sqrt (#12056)

This adds the notation √r for Real.sqrt r. The precedence is such that √x⁻¹ is parsed as √(x⁻¹); not because this is particularly desirable, but because it's the default and the choice doesn't really matter.

This is extracted from #7907, which adds a more general nth root typeclass. The idea is to perform all the boring substitutions downstream quickly, so that we can play around with custom elaborators with a much slower rate of code-rot. This PR also won't rot as quickly, as it does not forbid writing x.sqrt as that PR does.

While perhaps claiming for Real.sqrt is greedy; it:

  • Is far more common thatn NNReal.sqrt and Nat.sqrt
  • Is far more interesting to mathlib than sqrt on Float
  • Can be overloaded anyway, so this does not prevent downstream code using the notation on their own types.
  • Will be replaced by a more general typeclass in a future PR.

Zulip

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

Diff
@@ -23,7 +23,7 @@ namespace Zsqrtd
 If the negative root is desired, use `toReal h (star a)`. -/
 @[simps!]
 noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
-  lift ⟨Real.sqrt d, Real.mul_self_sqrt (Int.cast_nonneg.mpr h)⟩
+  lift ⟨√↑d, Real.mul_self_sqrt (Int.cast_nonneg.mpr h)⟩
 #align zsqrtd.to_real Zsqrtd.toReal
 
 theorem toReal_injective {d : ℤ} (h0d : 0 ≤ d) (hd : ∀ n : ℤ, d ≠ n * n) :
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
@@ -2,15 +2,12 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module number_theory.zsqrtd.to_real
-! leanprover-community/mathlib commit e59154361202a34b26176e0de9267ef8e2dcd446
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Real.Sqrt
 import Mathlib.NumberTheory.Zsqrtd.Basic
 
+#align_import number_theory.zsqrtd.to_real from "leanprover-community/mathlib"@"e59154361202a34b26176e0de9267ef8e2dcd446"
+
 /-!
 # Image of `Zsqrtd` in `ℝ`
 
chore: tidy various files (#3110)
Diff
@@ -12,7 +12,7 @@ import Mathlib.Data.Real.Sqrt
 import Mathlib.NumberTheory.Zsqrtd.Basic
 
 /-!
-# Image of `zsqrtd` in `ℝ`
+# Image of `Zsqrtd` in `ℝ`
 
 This file defines `Zsqrtd.toReal` and related lemmas.
 It is in a separate file to avoid pulling in all of `Data.Real` into `Data.Zsqrtd`.
@@ -23,7 +23,7 @@ namespace Zsqrtd
 
 /-- The image of `Zsqrtd` in `ℝ`, using `Real.sqrt` which takes the positive root of `d`.
 
-If the negative root is desired, use `toReal h a.conj`. -/
+If the negative root is desired, use `toReal h (star a)`. -/
 @[simps!]
 noncomputable def toReal {d : ℤ} (h : 0 ≤ d) : ℤ√d →+* ℝ :=
   lift ⟨Real.sqrt d, Real.mul_self_sqrt (Int.cast_nonneg.mpr h)⟩
feat: port NumberTheory.Zsqrtd.ToReal (#3053)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Dependencies 10 + 606

607 files ported (98.4%)
262163 lines ported (98.0%)
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The unported dependencies are

The following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file