analysis.calculus.deriv.pow | Mathlib porting status

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.

Changes in mathlib3

3bce8d80

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

f60c6087

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -60,7 +60,7 @@ theorem hasStrictDerivAt_pow :
   | 0, x => by simp [hasStrictDerivAt_const]
   | 1, x => by simpa using hasStrictDerivAt_id x
   | n + 1 + 1, x => by
-    simpa [pow_succ', add_mul, mul_assoc] using
+    simpa [pow_succ, add_mul, mul_assoc] using
       (hasStrictDerivAt_pow (n + 1) x).mul (hasStrictDerivAt_id x)
 #align has_strict_deriv_at_pow hasStrictDerivAt_pow
 -/

f60c6087

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Analysis.Calculus.Deriv.Mul
-import Mathbin.Analysis.Calculus.Deriv.Comp
+import Analysis.Calculus.Deriv.Mul
+import Analysis.Calculus.Deriv.Comp
 
 #align_import analysis.calculus.deriv.pow from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"

f60c6087

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.calculus.deriv.pow
-! 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.Mul
 import Mathbin.Analysis.Calculus.Deriv.Comp
 
+#align_import analysis.calculus.deriv.pow from "leanprover-community/mathlib"@"f60c6087a7275b72d5db3c5a1d0e19e35a429c0a"
+
 /-!
 # Derivative of `(f x) ^ n`, `n : ℕ`

f60c6087

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -57,6 +57,7 @@ variable {c : 𝕜 → 𝕜} {c' : 𝕜}
 
 variable (n : ℕ)
 
+#print hasStrictDerivAt_pow /-
 theorem hasStrictDerivAt_pow :
     ∀ (n : ℕ) (x : 𝕜), HasStrictDerivAt (fun x => x ^ n) ((n : 𝕜) * x ^ (n - 1)) x
   | 0, x => by simp [hasStrictDerivAt_const]
@@ -65,63 +66,90 @@ theorem hasStrictDerivAt_pow :
     simpa [pow_succ', add_mul, mul_assoc] using
       (hasStrictDerivAt_pow (n + 1) x).mul (hasStrictDerivAt_id x)
 #align has_strict_deriv_at_pow hasStrictDerivAt_pow
+-/
 
+#print hasDerivAt_pow /-
 theorem hasDerivAt_pow (n : ℕ) (x : 𝕜) : HasDerivAt (fun x => x ^ n) ((n : 𝕜) * x ^ (n - 1)) x :=
   (hasStrictDerivAt_pow n x).HasDerivAt
 #align has_deriv_at_pow hasDerivAt_pow
+-/
 
+#print hasDerivWithinAt_pow /-
 theorem hasDerivWithinAt_pow (n : ℕ) (x : 𝕜) (s : Set 𝕜) :
     HasDerivWithinAt (fun x => x ^ n) ((n : 𝕜) * x ^ (n - 1)) s x :=
   (hasDerivAt_pow n x).HasDerivWithinAt
 #align has_deriv_within_at_pow hasDerivWithinAt_pow
+-/
 
+#print differentiableAt_pow /-
 theorem differentiableAt_pow : DifferentiableAt 𝕜 (fun x => x ^ n) x :=
   (hasDerivAt_pow n x).DifferentiableAt
 #align differentiable_at_pow differentiableAt_pow
+-/
 
+#print differentiableWithinAt_pow /-
 theorem differentiableWithinAt_pow : DifferentiableWithinAt 𝕜 (fun x => x ^ n) s x :=
   (differentiableAt_pow n).DifferentiableWithinAt
 #align differentiable_within_at_pow differentiableWithinAt_pow
+-/
 
+#print differentiable_pow /-
 theorem differentiable_pow : Differentiable 𝕜 fun x : 𝕜 => x ^ n := fun x => differentiableAt_pow n
 #align differentiable_pow differentiable_pow
+-/
 
+#print differentiableOn_pow /-
 theorem differentiableOn_pow : DifferentiableOn 𝕜 (fun x => x ^ n) s :=
   (differentiable_pow n).DifferentiableOn
 #align differentiable_on_pow differentiableOn_pow
+-/
 
+#print deriv_pow /-
 theorem deriv_pow : deriv (fun x => x ^ n) x = (n : 𝕜) * x ^ (n - 1) :=
   (hasDerivAt_pow n x).deriv
 #align deriv_pow deriv_pow
+-/
 
+#print deriv_pow' /-
 @[simp]
 theorem deriv_pow' : (deriv fun x => x ^ n) = fun x => (n : 𝕜) * x ^ (n - 1) :=
   funext fun x => deriv_pow n
 #align deriv_pow' deriv_pow'
+-/
 
+#print derivWithin_pow /-
 theorem derivWithin_pow (hxs : UniqueDiffWithinAt 𝕜 s x) :
     derivWithin (fun x => x ^ n) s x = (n : 𝕜) * x ^ (n - 1) :=
   (hasDerivWithinAt_pow n x s).derivWithin hxs
 #align deriv_within_pow derivWithin_pow
+-/
 
+#print HasDerivWithinAt.pow /-
 theorem HasDerivWithinAt.pow (hc : HasDerivWithinAt c c' s x) :
     HasDerivWithinAt (fun y => c y ^ n) ((n : 𝕜) * c x ^ (n - 1) * c') s x :=
   (hasDerivAt_pow n (c x)).comp_hasDerivWithinAt x hc
 #align has_deriv_within_at.pow HasDerivWithinAt.pow
+-/
 
+#print HasDerivAt.pow /-
 theorem HasDerivAt.pow (hc : HasDerivAt c c' x) :
     HasDerivAt (fun y => c y ^ n) ((n : 𝕜) * c x ^ (n - 1) * c') x := by
   rw [← hasDerivWithinAt_univ] at *; exact hc.pow n
 #align has_deriv_at.pow HasDerivAt.pow
+-/
 
+#print derivWithin_pow' /-
 theorem derivWithin_pow' (hc : DifferentiableWithinAt 𝕜 c s x) (hxs : UniqueDiffWithinAt 𝕜 s x) :
     derivWithin (fun x => c x ^ n) s x = (n : 𝕜) * c x ^ (n - 1) * derivWithin c s x :=
   (hc.HasDerivWithinAt.pow n).derivWithin hxs
 #align deriv_within_pow' derivWithin_pow'
+-/
 
+#print deriv_pow'' /-
 @[simp]
 theorem deriv_pow'' (hc : DifferentiableAt 𝕜 c x) :
     deriv (fun x => c x ^ n) x = (n : 𝕜) * c x ^ (n - 1) * deriv c x :=
   (hc.HasDerivAt.pow n).deriv
 #align deriv_pow'' deriv_pow''
+-/

f60c6087

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.calculus.deriv.pow
-! 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.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Analysis.Calculus.Deriv.Comp
 /-!
 # Derivative of `(f x) ^ n`, `n : ℕ`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove that `(x ^ n)' = n * x ^ (n - 1)`, where `n` is a natural number.
 
 For a more detailed overview of one-dimensional derivatives in mathlib, see the module docstring of

3bce8d80

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -27,7 +27,7 @@ derivative, power
 
 universe u v w
 
-open Classical Topology BigOperators Filter ENNReal
+open scoped Classical Topology BigOperators Filter ENNReal
 
 open Filter Asymptotics Set

3bce8d80

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -107,10 +107,8 @@ theorem HasDerivWithinAt.pow (hc : HasDerivWithinAt c c' s x) :
 #align has_deriv_within_at.pow HasDerivWithinAt.pow
 
 theorem HasDerivAt.pow (hc : HasDerivAt c c' x) :
-    HasDerivAt (fun y => c y ^ n) ((n : 𝕜) * c x ^ (n - 1) * c') x :=
-  by
-  rw [← hasDerivWithinAt_univ] at *
-  exact hc.pow n
+    HasDerivAt (fun y => c y ^ n) ((n : 𝕜) * c x ^ (n - 1) * c') x := by
+  rw [← hasDerivWithinAt_univ] at *; exact hc.pow n
 #align has_deriv_at.pow HasDerivAt.pow
 
 theorem derivWithin_pow' (hc : DifferentiableWithinAt 𝕜 c s x) (hxs : UniqueDiffWithinAt 𝕜 s x) :

3bce8d80

bump to nightly-2023-05-28-03

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

6c6011cf

Changes in mathlib4

mathlib3

mathlib4

3bce8d80

change the order of operation in zsmulRec and nsmulRec (#11451)

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

pow_succ and pow_succ' have switched their meanings.
Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

9a3feeae

Diff

@@ -47,7 +47,7 @@ theorem hasStrictDerivAt_pow :
   | 0, x => by simp [hasStrictDerivAt_const]
   | 1, x => by simpa using hasStrictDerivAt_id x
   | n + 1 + 1, x => by
-    simpa [pow_succ', add_mul, mul_assoc] using
+    simpa [pow_succ, add_mul, mul_assoc] using
       (hasStrictDerivAt_pow (n + 1) x).mul (hasStrictDerivAt_id x)
 #align has_strict_deriv_at_pow hasStrictDerivAt_pow

3bce8d80

chore(*): remove empty lines between variable statements (#11418)

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)

75c86f04

Diff

@@ -29,25 +29,17 @@ open Topology BigOperators Filter ENNReal
 open Filter Asymptotics Set
 
 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}
 
 /-! ### Derivative of `x ↦ x^n` for `n : ℕ` -/
 
 variable {c : 𝕜 → 𝕜} {c' : 𝕜}
-
 variable (n : ℕ)
 
 theorem hasStrictDerivAt_pow :

3bce8d80

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -23,7 +23,8 @@ derivative, power
 
 universe u v w
 
-open Classical Topology BigOperators Filter ENNReal
+open scoped Classical
+open Topology BigOperators Filter ENNReal
 
 open Filter Asymptotics Set
 
@@ -119,4 +120,3 @@ theorem deriv_pow'' (hc : DifferentiableAt 𝕜 c x) :
     deriv (fun x => c x ^ n) x = (n : 𝕜) * c x ^ (n - 1) * deriv c x :=
   (hc.hasDerivAt.pow n).deriv
 #align deriv_pow'' deriv_pow''
-

3bce8d80

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.calculus.deriv.pow
-! 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.Mul
 import Mathlib.Analysis.Calculus.Deriv.Comp
 
+#align_import analysis.calculus.deriv.pow from "leanprover-community/mathlib"@"3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe"
+
 /-!
 # Derivative of `(f x) ^ n`, `n : ℕ`

3bce8d80

feat: port Analysis.Calculus.Deriv.Pow (#4441)

b5b6fb2d

`analysis.calculus.deriv.pow` ⟷ `Mathlib.Analysis.Calculus.Deriv.Pow`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 683

analysis.calculus.deriv.pow ⟷ Mathlib.Analysis.Calculus.Deriv.Pow

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 683

`analysis.calculus.deriv.pow` ⟷ `Mathlib.Analysis.Calculus.Deriv.Pow`