analysis.calculus.deriv.polynomial ⟷ Mathlib.Analysis.Calculus.Deriv.Polynomial

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

@@ -5,8 +5,8 @@ Authors: Sébastien Gouëzel, Eric Wieser
 -/
 import Analysis.Calculus.Deriv.Pow
 import Analysis.Calculus.Deriv.Add
-import Data.Polynomial.AlgebraMap
-import Data.Polynomial.Derivative
+import Algebra.Polynomial.AlgebraMap
+import Algebra.Polynomial.Derivative
 
 #align_import analysis.calculus.deriv.polynomial from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

@@ -3,10 +3,10 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel, Eric Wieser
 -/
-import Mathbin.Analysis.Calculus.Deriv.Pow
-import Mathbin.Analysis.Calculus.Deriv.Add
-import Mathbin.Data.Polynomial.AlgebraMap
-import Mathbin.Data.Polynomial.Derivative
+import Analysis.Calculus.Deriv.Pow
+import Analysis.Calculus.Deriv.Add
+import Data.Polynomial.AlgebraMap
+import Data.Polynomial.Derivative
 
 #align_import analysis.calculus.deriv.polynomial from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel, Eric Wieser
-
-! This file was ported from Lean 3 source module analysis.calculus.deriv.polynomial
-! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Calculus.Deriv.Pow
 import Mathbin.Analysis.Calculus.Deriv.Add
 import Mathbin.Data.Polynomial.AlgebraMap
 import Mathbin.Data.Polynomial.Derivative
 
+#align_import analysis.calculus.deriv.polynomial from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"
+
 /-!
 # Derivatives of polynomials
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

@@ -69,6 +69,7 @@ variable {R : Type _} [CommSemiring R] [Algebra R 𝕜]
 
 variable (p : 𝕜[X]) (q : R[X])
 
+#print Polynomial.hasStrictDerivAt /-
 /-- The derivative (in the analysis sense) of a polynomial `p` is given by `p.derivative`. -/
 protected theorem hasStrictDerivAt (x : 𝕜) :
     HasStrictDerivAt (fun x => p.eval x) (p.derivative.eval x) x :=
@@ -77,32 +78,43 @@ protected theorem hasStrictDerivAt (x : 𝕜) :
   case h_add p q hp hq => simpa using hp.add hq
   case h_monomial n a => simpa [mul_assoc] using (hasStrictDerivAt_pow n x).const_mul a
 #align polynomial.has_strict_deriv_at Polynomial.hasStrictDerivAt
+-/
 
+#print Polynomial.hasStrictDerivAt_aeval /-
 protected theorem hasStrictDerivAt_aeval (x : 𝕜) :
     HasStrictDerivAt (fun x => aeval x q) (aeval x q.derivative) x := by
   simpa only [aeval_def, eval₂_eq_eval_map, derivative_map] using
     (q.map (algebraMap R 𝕜)).HasStrictDerivAt x
 #align polynomial.has_strict_deriv_at_aeval Polynomial.hasStrictDerivAt_aeval
+-/
 
+#print Polynomial.hasDerivAt /-
 /-- The derivative (in the analysis sense) of a polynomial `p` is given by `p.derivative`. -/
 protected theorem hasDerivAt (x : 𝕜) : HasDerivAt (fun x => p.eval x) (p.derivative.eval x) x :=
   (p.HasStrictDerivAt x).HasDerivAt
 #align polynomial.has_deriv_at Polynomial.hasDerivAt
+-/
 
+#print Polynomial.hasDerivAt_aeval /-
 protected theorem hasDerivAt_aeval (x : 𝕜) :
     HasDerivAt (fun x => aeval x q) (aeval x q.derivative) x :=
   (q.hasStrictDerivAt_aeval x).HasDerivAt
 #align polynomial.has_deriv_at_aeval Polynomial.hasDerivAt_aeval
+-/
 
+#print Polynomial.hasDerivWithinAt /-
 protected theorem hasDerivWithinAt (x : 𝕜) (s : Set 𝕜) :
     HasDerivWithinAt (fun x => p.eval x) (p.derivative.eval x) s x :=
   (p.HasDerivAt x).HasDerivWithinAt
 #align polynomial.has_deriv_within_at Polynomial.hasDerivWithinAt
+-/
 
+#print Polynomial.hasDerivWithinAt_aeval /-
 protected theorem hasDerivWithinAt_aeval (x : 𝕜) (s : Set 𝕜) :
     HasDerivWithinAt (fun x => aeval x q) (aeval x q.derivative) s x :=
   (q.hasDerivAt_aeval x).HasDerivWithinAt
 #align polynomial.has_deriv_within_at_aeval Polynomial.hasDerivWithinAt_aeval
+-/
 
 #print Polynomial.differentiableAt /-
 protected theorem differentiableAt : DifferentiableAt 𝕜 (fun x => p.eval x) x :=
@@ -110,9 +122,11 @@ protected theorem differentiableAt : DifferentiableAt 𝕜 (fun x => p.eval x) x
 #align polynomial.differentiable_at Polynomial.differentiableAt
 -/
 
+#print Polynomial.differentiableAt_aeval /-
 protected theorem differentiableAt_aeval : DifferentiableAt 𝕜 (fun x => aeval x q) x :=
   (q.hasDerivAt_aeval x).DifferentiableAt
 #align polynomial.differentiable_at_aeval Polynomial.differentiableAt_aeval
+-/
 
 #print Polynomial.differentiableWithinAt /-
 protected theorem differentiableWithinAt : DifferentiableWithinAt 𝕜 (fun x => p.eval x) s x :=
@@ -120,19 +134,23 @@ protected theorem differentiableWithinAt : DifferentiableWithinAt 𝕜 (fun x =>
 #align polynomial.differentiable_within_at Polynomial.differentiableWithinAt
 -/
 
+#print Polynomial.differentiableWithinAt_aeval /-
 protected theorem differentiableWithinAt_aeval :
     DifferentiableWithinAt 𝕜 (fun x => aeval x q) s x :=
   q.differentiableAt_aeval.DifferentiableWithinAt
 #align polynomial.differentiable_within_at_aeval Polynomial.differentiableWithinAt_aeval
+-/
 
 #print Polynomial.differentiable /-
 protected theorem differentiable : Differentiable 𝕜 fun x => p.eval x := fun x => p.DifferentiableAt
 #align polynomial.differentiable Polynomial.differentiable
 -/
 
+#print Polynomial.differentiable_aeval /-
 protected theorem differentiable_aeval : Differentiable 𝕜 fun x : 𝕜 => aeval x q := fun x =>
   q.differentiableAt_aeval
 #align polynomial.differentiable_aeval Polynomial.differentiable_aeval
+-/
 
 #print Polynomial.differentiableOn /-
 protected theorem differentiableOn : DifferentiableOn 𝕜 (fun x => p.eval x) s :=
@@ -140,74 +158,100 @@ protected theorem differentiableOn : DifferentiableOn 𝕜 (fun x => p.eval x) s
 #align polynomial.differentiable_on Polynomial.differentiableOn
 -/
 
+#print Polynomial.differentiableOn_aeval /-
 protected theorem differentiableOn_aeval : DifferentiableOn 𝕜 (fun x => aeval x q) s :=
   q.differentiable_aeval.DifferentiableOn
 #align polynomial.differentiable_on_aeval Polynomial.differentiableOn_aeval
+-/
 
+#print Polynomial.deriv /-
 @[simp]
 protected theorem deriv : deriv (fun x => p.eval x) x = p.derivative.eval x :=
   (p.HasDerivAt x).deriv
 #align polynomial.deriv Polynomial.deriv
+-/
 
+#print Polynomial.deriv_aeval /-
 @[simp]
 protected theorem deriv_aeval : deriv (fun x => aeval x q) x = aeval x q.derivative :=
   (q.hasDerivAt_aeval x).deriv
 #align polynomial.deriv_aeval Polynomial.deriv_aeval
+-/
 
+#print Polynomial.derivWithin /-
 protected theorem derivWithin (hxs : UniqueDiffWithinAt 𝕜 s x) :
     derivWithin (fun x => p.eval x) s x = p.derivative.eval x :=
   by
   rw [DifferentiableAt.derivWithin p.differentiable_at hxs]
   exact p.deriv
 #align polynomial.deriv_within Polynomial.derivWithin
+-/
 
+#print Polynomial.derivWithin_aeval /-
 protected theorem derivWithin_aeval (hxs : UniqueDiffWithinAt 𝕜 s x) :
     derivWithin (fun x => aeval x q) s x = aeval x q.derivative := by
   simpa only [aeval_def, eval₂_eq_eval_map, derivative_map] using
     (q.map (algebraMap R 𝕜)).derivWithin hxs
 #align polynomial.deriv_within_aeval Polynomial.derivWithin_aeval
+-/
 
+#print Polynomial.hasFDerivAt /-
 protected theorem hasFDerivAt (x : 𝕜) :
     HasFDerivAt (fun x => p.eval x) (smulRight (1 : 𝕜 →L[𝕜] 𝕜) (p.derivative.eval x)) x :=
   p.HasDerivAt x
 #align polynomial.has_fderiv_at Polynomial.hasFDerivAt
+-/
 
+#print Polynomial.hasFDerivAt_aeval /-
 protected theorem hasFDerivAt_aeval (x : 𝕜) :
     HasFDerivAt (fun x => aeval x q) (smulRight (1 : 𝕜 →L[𝕜] 𝕜) (aeval x q.derivative)) x :=
   q.hasDerivAt_aeval x
 #align polynomial.has_fderiv_at_aeval Polynomial.hasFDerivAt_aeval
+-/
 
+#print Polynomial.hasFDerivWithinAt /-
 protected theorem hasFDerivWithinAt (x : 𝕜) :
     HasFDerivWithinAt (fun x => p.eval x) (smulRight (1 : 𝕜 →L[𝕜] 𝕜) (p.derivative.eval x)) s x :=
   (p.HasFDerivAt x).HasFDerivWithinAt
 #align polynomial.has_fderiv_within_at Polynomial.hasFDerivWithinAt
+-/
 
+#print Polynomial.hasFDerivWithinAt_aeval /-
 protected theorem hasFDerivWithinAt_aeval (x : 𝕜) :
     HasFDerivWithinAt (fun x => aeval x q) (smulRight (1 : 𝕜 →L[𝕜] 𝕜) (aeval x q.derivative)) s x :=
   (q.hasFDerivAt_aeval x).HasFDerivWithinAt
 #align polynomial.has_fderiv_within_at_aeval Polynomial.hasFDerivWithinAt_aeval
+-/
 
+#print Polynomial.fderiv /-
 @[simp]
 protected theorem fderiv :
     fderiv 𝕜 (fun x => p.eval x) x = smulRight (1 : 𝕜 →L[𝕜] 𝕜) (p.derivative.eval x) :=
   (p.HasFDerivAt x).fderiv
 #align polynomial.fderiv Polynomial.fderiv
+-/
 
+#print Polynomial.fderiv_aeval /-
 @[simp]
 protected theorem fderiv_aeval :
     fderiv 𝕜 (fun x => aeval x q) x = smulRight (1 : 𝕜 →L[𝕜] 𝕜) (aeval x q.derivative) :=
   (q.hasFDerivAt_aeval x).fderiv
 #align polynomial.fderiv_aeval Polynomial.fderiv_aeval
+-/
 
+#print Polynomial.fderivWithin /-
 protected theorem fderivWithin (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun x => p.eval x) s x = smulRight (1 : 𝕜 →L[𝕜] 𝕜) (p.derivative.eval x) :=
   (p.HasFDerivWithinAt x).fderivWithin hxs
 #align polynomial.fderiv_within Polynomial.fderivWithin
+-/
 
+#print Polynomial.fderivWithin_aeval /-
 protected theorem fderivWithin_aeval (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun x => aeval x q) s x = smulRight (1 : 𝕜 →L[𝕜] 𝕜) (aeval x q.derivative) :=
   (q.hasFDerivWithinAt_aeval x).fderivWithin hxs
 #align polynomial.fderiv_within_aeval Polynomial.fderivWithin_aeval
+-/
 
 end Polynomial
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel, Eric Wieser
 
 ! This file was ported from Lean 3 source module analysis.calculus.deriv.polynomial
-! leanprover-community/mathlib commit 3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe
+! leanprover-community/mathlib commit f60c6087a7275b72d5db3c5a1d0e19e35a429c0a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Data.Polynomial.Derivative
 /-!
 # Derivatives of polynomials
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove that derivatives of polynomials in the analysis sense agree with their
 derivatives in the algebraic sense.
 
@@ -101,33 +104,41 @@ protected theorem hasDerivWithinAt_aeval (x : 𝕜) (s : Set 𝕜) :
   (q.hasDerivAt_aeval x).HasDerivWithinAt
 #align polynomial.has_deriv_within_at_aeval Polynomial.hasDerivWithinAt_aeval
 
+#print Polynomial.differentiableAt /-
 protected theorem differentiableAt : DifferentiableAt 𝕜 (fun x => p.eval x) x :=
   (p.HasDerivAt x).DifferentiableAt
 #align polynomial.differentiable_at Polynomial.differentiableAt
+-/
 
 protected theorem differentiableAt_aeval : DifferentiableAt 𝕜 (fun x => aeval x q) x :=
   (q.hasDerivAt_aeval x).DifferentiableAt
 #align polynomial.differentiable_at_aeval Polynomial.differentiableAt_aeval
 
+#print Polynomial.differentiableWithinAt /-
 protected theorem differentiableWithinAt : DifferentiableWithinAt 𝕜 (fun x => p.eval x) s x :=
   p.DifferentiableAt.DifferentiableWithinAt
 #align polynomial.differentiable_within_at Polynomial.differentiableWithinAt
+-/
 
 protected theorem differentiableWithinAt_aeval :
     DifferentiableWithinAt 𝕜 (fun x => aeval x q) s x :=
   q.differentiableAt_aeval.DifferentiableWithinAt
 #align polynomial.differentiable_within_at_aeval Polynomial.differentiableWithinAt_aeval
 
+#print Polynomial.differentiable /-
 protected theorem differentiable : Differentiable 𝕜 fun x => p.eval x := fun x => p.DifferentiableAt
 #align polynomial.differentiable Polynomial.differentiable
+-/
 
 protected theorem differentiable_aeval : Differentiable 𝕜 fun x : 𝕜 => aeval x q := fun x =>
   q.differentiableAt_aeval
 #align polynomial.differentiable_aeval Polynomial.differentiable_aeval
 
+#print Polynomial.differentiableOn /-
 protected theorem differentiableOn : DifferentiableOn 𝕜 (fun x => p.eval x) s :=
   p.Differentiable.DifferentiableOn
 #align polynomial.differentiable_on Polynomial.differentiableOn
+-/
 
 protected theorem differentiableOn_aeval : DifferentiableOn 𝕜 (fun x => aeval x q) s :=
   q.differentiable_aeval.DifferentiableOn

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

@@ -35,7 +35,7 @@ derivative, polynomial
 
 universe u v w
 
-open Classical Topology BigOperators Filter ENNReal Polynomial
+open scoped Classical Topology BigOperators Filter ENNReal Polynomial
 
 open Filter Asymptotics Set
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

Polynomial and MvPolynomial are algebraic objects, hence should be under Algebra (or at least not under Data)

@@ -3,10 +3,10 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel, Eric Wieser
 -/
+import Mathlib.Algebra.Polynomial.AlgebraMap
+import Mathlib.Algebra.Polynomial.Derivative
 import Mathlib.Analysis.Calculus.Deriv.Pow
 import Mathlib.Analysis.Calculus.Deriv.Add
-import Mathlib.Data.Polynomial.AlgebraMap
-import Mathlib.Data.Polynomial.Derivative
 
 #align_import analysis.calculus.deriv.polynomial from "leanprover-community/mathlib"@"3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe"
 

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -39,19 +39,12 @@ open Filter Asymptotics Set
 open ContinuousLinearMap (smulRight smulRight_one_eq_iff)
 
 variable {𝕜 : Type u} [NontriviallyNormedField 𝕜]
-
 variable {F : Type v} [NormedAddCommGroup F] [NormedSpace 𝕜 F]
-
 variable {E : Type w} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
-
 variable {f f₀ f₁ g : 𝕜 → F}
-
 variable {f' f₀' f₁' g' : F}
-
 variable {x : 𝕜}
-
 variable {s t : Set 𝕜}
-
 variable {L L₁ L₂ : Filter 𝕜}
 
 namespace Polynomial
@@ -60,7 +53,6 @@ namespace Polynomial
 
 
 variable {R : Type*} [CommSemiring R] [Algebra R 𝕜]
-
 variable (p : 𝕜[X]) (q : R[X])
 
 /-- The derivative (in the analysis sense) of a polynomial `p` is given by `p.derivative`. -/

This converts usages of the pattern

cases h
case inl h' => ...
case inr h' => ...

which derive from mathported code, to the "structured cases" syntax:

cases h with
| inl h' => ...
| inr h' => ...

The case where the subgoals are handled with · instead of case is more contentious (and much more numerous) so I left those alone. This pattern also appears with cases', induction, induction', and rcases. Furthermore, there is a similar transformation for by_cases:

by_cases h : cond
case pos => ...
case neg => ...

is replaced by:

if h : cond then
  ...
else
  ...

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -66,9 +66,9 @@ variable (p : 𝕜[X]) (q : R[X])
 /-- The derivative (in the analysis sense) of a polynomial `p` is given by `p.derivative`. -/
 protected theorem hasStrictDerivAt (x : 𝕜) :
     HasStrictDerivAt (fun x => p.eval x) (p.derivative.eval x) x := by
-  induction p using Polynomial.induction_on'
-  case h_add p q hp hq => simpa using hp.add hq
-  case h_monomial n a => simpa [mul_assoc] using (hasStrictDerivAt_pow n x).const_mul a
+  induction p using Polynomial.induction_on' with
+  | h_add p q hp hq => simpa using hp.add hq
+  | h_monomial n a => simpa [mul_assoc] using (hasStrictDerivAt_pow n x).const_mul a
 #align polynomial.has_strict_deriv_at Polynomial.hasStrictDerivAt
 
 protected theorem hasStrictDerivAt_aeval (x : 𝕜) :
@@ -195,4 +195,3 @@ protected theorem fderivWithin_aeval (hxs : UniqueDiffWithinAt 𝕜 s x) :
 #align polynomial.fderiv_within_aeval Polynomial.fderivWithin_aeval
 
 end Polynomial
-

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

@@ -59,7 +59,7 @@ namespace Polynomial
 /-! ### Derivative of a polynomial -/
 
 
-variable {R : Type _} [CommSemiring R] [Algebra R 𝕜]
+variable {R : Type*} [CommSemiring R] [Algebra R 𝕜]
 
 variable (p : 𝕜[X]) (q : R[X])
 

• depends on: #5966

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel, Eric Wieser
-
-! This file was ported from Lean 3 source module analysis.calculus.deriv.polynomial
-! leanprover-community/mathlib commit 3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Calculus.Deriv.Pow
 import Mathlib.Analysis.Calculus.Deriv.Add
 import Mathlib.Data.Polynomial.AlgebraMap
 import Mathlib.Data.Polynomial.Derivative
 
+#align_import analysis.calculus.deriv.polynomial from "leanprover-community/mathlib"@"3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe"
+
 /-!
 # Derivatives of polynomials