analysis.calculus.lagrange_multipliers

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

f2ce6086

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

575b4ea3

bump to nightly-2024-04-25-08

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

ad7a2212

Diff

@@ -155,7 +155,7 @@ theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type _} [Finit
   rcases hextr.exists_multipliers_of_has_strict_fderiv_at hf' hφ' with ⟨Λ, Λ₀, hΛ, hΛf⟩
   refine' ⟨Option.elim' Λ₀ Λ, _, _⟩
   · simpa [add_comm] using hΛf
-  · simpa [Function.funext_iff, not_and_or, or_comm', Option.exists] using hΛ
+  · simpa [Function.funext_iff, not_and_or, or_comm, Option.exists] using hΛ
 #align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt
 -/

575b4ea3

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Analysis.Calculus.Inverse
+import Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn
 import LinearAlgebra.Dual
 
 #align_import analysis.calculus.lagrange_multipliers from "leanprover-community/mathlib"@"575b4ea3738b017e30fb205cb9b4a8742e5e82b6"

575b4ea3

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) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Analysis.Calculus.Inverse
-import Mathbin.LinearAlgebra.Dual
+import Analysis.Calculus.Inverse
+import LinearAlgebra.Dual
 
 #align_import analysis.calculus.lagrange_multipliers from "leanprover-community/mathlib"@"575b4ea3738b017e30fb205cb9b4a8742e5e82b6"

575b4ea3

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) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.calculus.lagrange_multipliers
-! leanprover-community/mathlib commit 575b4ea3738b017e30fb205cb9b4a8742e5e82b6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Calculus.Inverse
 import Mathbin.LinearAlgebra.Dual
 
+#align_import analysis.calculus.lagrange_multipliers from "leanprover-community/mathlib"@"575b4ea3738b017e30fb205cb9b4a8742e5e82b6"
+
 /-!
 # Lagrange multipliers

575b4ea3

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -43,6 +43,7 @@ variable {E F : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpac
   [NormedAddCommGroup F] [NormedSpace ℝ F] [CompleteSpace F] {f : E → F} {φ : E → ℝ} {x₀ : E}
   {f' : E →L[ℝ] F} {φ' : E →L[ℝ] ℝ}
 
+#print IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt /-
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, and the codomain of `f` is
 a complete space, then the linear map `x ↦ (f' x, φ' x)` is not surjective. -/
@@ -59,7 +60,9 @@ theorem IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt
     exact map_snd_nhdsWithin _
   exact hextr.not_nhds_le_map A.ge
 #align is_local_extr_on.range_ne_top_of_has_strict_fderiv_at IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt
+-/
 
+#print IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt /-
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, and the codomain of `f` is
 a complete space, then there exist `Λ : dual ℝ F` and `Λ₀ : ℝ` such that `(Λ, Λ₀) ≠ 0` and
@@ -85,7 +88,9 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
     LinearMap.coprod_comp_prod, LinearMap.add_apply, LinearMap.coe_comp,
     ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
 #align is_local_extr_on.exists_linear_map_of_has_strict_fderiv_at IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
+-/
 
+#print IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d /-
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, and both `f : E → ℝ` and `φ` are strictly differentiable at `x₀`, then there exist
 `a b : ℝ` such that `(a, b) ≠ 0` and `a • f' + b • φ' = 0`. -/
@@ -105,7 +110,9 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d {f : E → ℝ}
     have H₂ : f' x * Λ 1 + Λ₀ * φ' x = 0 := by simpa only [Algebra.id.smul_eq_mul, H₁] using hfΛ x
     simpa [mul_comm] using H₂
 #align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at_1d IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d
+-/
 
+#print IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt /-
 /-- Lagrange multipliers theorem, 1d version. Let `f : ι → E → ℝ` be a finite family of functions.
 Suppose that `φ : E → ℝ` has a local extremum on the set `{x | ∀ i, f i x = f i x₀}` at `x₀`.
 Suppose that all functions `f i` as well as `φ` are strictly differentiable at `x₀`.
@@ -130,6 +137,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fin
   · simpa only [Ne.def, Prod.ext_iff, LinearEquiv.map_eq_zero_iff, Prod.fst_zero] using h0
   · ext x; simpa [mul_comm] using hsum x
 #align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt
+-/
 
 #print IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt /-
 /-- Lagrange multipliers theorem. Let `f : ι → E → ℝ` be a finite family of functions.

575b4ea3

bump to nightly-2023-06-10-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

3fdc57bc

Diff

@@ -117,7 +117,7 @@ states `¬linear_independent ℝ _` instead of existence of `Λ` and `Λ₀`. -/
 theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fintype ι]
     {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ {x | ∀ i, f i x = f i x₀} x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
-    ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 :=
+    ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ ∑ i, Λ i • f' i + Λ₀ • φ' = 0 :=
   by
   letI := Classical.decEq ι
   replace hextr : IsLocalExtrOn φ {x | (fun i => f i x) = fun i => f i x₀} x₀

575b4ea3

bump to nightly-2023-06-06-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3209ddf94136d36e5e5c624b10b2a347cc9d090

90f9e14f

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.lagrange_multipliers
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit 575b4ea3738b017e30fb205cb9b4a8742e5e82b6
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.LinearAlgebra.Dual
 /-!
 # Lagrange multipliers
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we formalize the
 [Lagrange multipliers](https://en.wikipedia.org/wiki/Lagrange_multiplier) method of solving
 conditional extremum problems: if a function `φ` has a local extremum at `x₀` on the set

f2ce6086

bump to nightly-2023-06-05-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

34bb8226

Diff

@@ -128,6 +128,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fin
   · ext x; simpa [mul_comm] using hsum x
 #align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt
 
+#print IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt /-
 /-- Lagrange multipliers theorem. Let `f : ι → E → ℝ` be a finite family of functions.
 Suppose that `φ : E → ℝ` has a local extremum on the set `{x | ∀ i, f i x = f i x₀}` at `x₀`.
 Suppose that all functions `f i` as well as `φ` are strictly differentiable at `x₀`.
@@ -148,4 +149,5 @@ theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type _} [Finit
   · simpa [add_comm] using hΛf
   · simpa [Function.funext_iff, not_and_or, or_comm', Option.exists] using hΛ
 #align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt
+-/

f2ce6086

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -44,14 +44,14 @@ variable {E F : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpac
 at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, and the codomain of `f` is
 a complete space, then the linear map `x ↦ (f' x, φ' x)` is not surjective. -/
 theorem IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hextr : IsLocalExtrOn φ {x | f x = f x₀} x₀) (hf' : HasStrictFDerivAt f f' x₀)
     (hφ' : HasStrictFDerivAt φ φ' x₀) : LinearMap.range (f'.Prod φ') ≠ ⊤ :=
   by
   intro htop
   set fφ := fun x => (f x, φ x)
   have A : map φ (𝓝[f ⁻¹' {f x₀}] x₀) = 𝓝 (φ x₀) :=
     by
-    change map (Prod.snd ∘ fφ) (𝓝[fφ ⁻¹' { p | p.1 = f x₀ }] x₀) = 𝓝 (φ x₀)
+    change map (Prod.snd ∘ fφ) (𝓝[fφ ⁻¹' {p | p.1 = f x₀}] x₀) = 𝓝 (φ x₀)
     rw [← map_map, nhdsWithin, map_inf_principal_preimage, (hf'.prod hφ').map_nhds_eq_of_surj htop]
     exact map_snd_nhdsWithin _
   exact hextr.not_nhds_le_map A.ge
@@ -62,7 +62,7 @@ at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, an
 a complete space, then there exist `Λ : dual ℝ F` and `Λ₀ : ℝ` such that `(Λ, Λ₀) ≠ 0` and
 `Λ (f' x) + Λ₀ • φ' x = 0` for all `x`. -/
 theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hextr : IsLocalExtrOn φ {x | f x = f x₀} x₀) (hf' : HasStrictFDerivAt f f' x₀)
     (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : Module.Dual ℝ F) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ ∀ x, Λ (f' x) + Λ₀ • φ' x = 0 :=
   by
@@ -87,7 +87,7 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
 at `x₀`, and both `f : E → ℝ` and `φ` are strictly differentiable at `x₀`, then there exist
 `a b : ℝ` such that `(a, b) ≠ 0` and `a • f' + b • φ' = 0`. -/
 theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d {f : E → ℝ} {f' : E →L[ℝ] ℝ}
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hextr : IsLocalExtrOn φ {x | f x = f x₀} x₀) (hf' : HasStrictFDerivAt f f' x₀)
     (hφ' : HasStrictFDerivAt φ φ' x₀) : ∃ a b : ℝ, (a, b) ≠ 0 ∧ a • f' + b • φ' = 0 :=
   by
   obtain ⟨Λ, Λ₀, hΛ, hfΛ⟩ := hextr.exists_linear_map_of_has_strict_fderiv_at hf' hφ'
@@ -112,12 +112,12 @@ there exist `Λ : ι → ℝ` and `Λ₀ : ℝ`, `(Λ, Λ₀) ≠ 0`, such that
 See also `is_local_extr_on.linear_dependent_of_has_strict_fderiv_at` for a version that
 states `¬linear_independent ℝ _` instead of existence of `Λ` and `Λ₀`. -/
 theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fintype ι]
-    {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ { x | ∀ i, f i x = f i x₀ } x₀)
+    {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ {x | ∀ i, f i x = f i x₀} x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 :=
   by
   letI := Classical.decEq ι
-  replace hextr : IsLocalExtrOn φ { x | (fun i => f i x) = fun i => f i x₀ } x₀
+  replace hextr : IsLocalExtrOn φ {x | (fun i => f i x) = fun i => f i x₀} x₀
   · simpa only [Function.funext_iff] using hextr
   rcases hextr.exists_linear_map_of_has_strict_fderiv_at (hasStrictFDerivAt_pi.2 fun i => hf' i)
       hφ' with
@@ -137,7 +137,7 @@ See also `is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at` for a ver
 that states existence of Lagrange multipliers `Λ` and `Λ₀` instead of using
 `¬linear_independent ℝ _` -/
 theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type _} [Finite ι] {f : ι → E → ℝ}
-    {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ { x | ∀ i, f i x = f i x₀ } x₀)
+    {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ {x | ∀ i, f i x = f i x₀} x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ¬LinearIndependent ℝ (Option.elim' φ' f' : Option ι → E →L[ℝ] ℝ) :=
   by

f2ce6086

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -64,7 +64,7 @@ a complete space, then there exist `Λ : dual ℝ F` and `Λ₀ : ℝ` such that
 theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
     (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
     (hφ' : HasStrictFDerivAt φ φ' x₀) :
-    ∃ (Λ : Module.Dual ℝ F)(Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ ∀ x, Λ (f' x) + Λ₀ • φ' x = 0 :=
+    ∃ (Λ : Module.Dual ℝ F) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ ∀ x, Λ (f' x) + Λ₀ • φ' x = 0 :=
   by
   rcases Submodule.exists_le_ker_of_lt_top _
       (lt_top_iff_ne_top.2 <| hextr.range_ne_top_of_has_strict_fderiv_at hf' hφ') with
@@ -93,7 +93,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d {f : E → ℝ}
   obtain ⟨Λ, Λ₀, hΛ, hfΛ⟩ := hextr.exists_linear_map_of_has_strict_fderiv_at hf' hφ'
   refine' ⟨Λ 1, Λ₀, _, _⟩
   · contrapose! hΛ
-    simp only [Prod.mk_eq_zero] at hΛ⊢
+    simp only [Prod.mk_eq_zero] at hΛ ⊢
     refine' ⟨LinearMap.ext fun x => _, hΛ.2⟩
     simpa [hΛ.1] using Λ.map_smul x 1
   · ext x
@@ -114,7 +114,7 @@ states `¬linear_independent ℝ _` instead of existence of `Λ` and `Λ₀`. -/
 theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fintype ι]
     {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ { x | ∀ i, f i x = f i x₀ } x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
-    ∃ (Λ : ι → ℝ)(Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 :=
+    ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 :=
   by
   letI := Classical.decEq ι
   replace hextr : IsLocalExtrOn φ { x | (fun i => f i x) = fun i => f i x₀ } x₀

f2ce6086

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -78,8 +78,9 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
   -- squeezed `simp [mul_comm]` to speed up elaboration
   simp only [mul_comm, Algebra.id.smul_eq_mul, LinearEquiv.trans_apply, LinearEquiv.prod_apply,
     LinearEquiv.refl_apply, LinearMap.ringLmapEquivSelf_symm_apply, LinearMap.coprodEquiv_apply,
-    [anonymous], ContinuousLinearMap.coe_prod, LinearMap.coprod_comp_prod, LinearMap.add_apply,
-    LinearMap.coe_comp, ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
+    ContinuousLinearMap.toLinearMap_eq_coe, ContinuousLinearMap.coe_prod,
+    LinearMap.coprod_comp_prod, LinearMap.add_apply, LinearMap.coe_comp,
+    ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
 #align is_local_extr_on.exists_linear_map_of_has_strict_fderiv_at IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
 
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`

f2ce6086

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -34,7 +34,7 @@ lagrange multiplier, local extremum
 
 open Filter Set
 
-open Topology Filter BigOperators
+open scoped Topology Filter BigOperators
 
 variable {E F : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
   [NormedAddCommGroup F] [NormedSpace ℝ F] [CompleteSpace F] {f : E → F} {φ : E → ℝ} {x₀ : E}

f2ce6086

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -124,8 +124,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fin
   rcases(LinearEquiv.piRing ℝ ℝ ι ℝ).symm.Surjective Λ with ⟨Λ, rfl⟩
   refine' ⟨Λ, Λ₀, _, _⟩
   · simpa only [Ne.def, Prod.ext_iff, LinearEquiv.map_eq_zero_iff, Prod.fst_zero] using h0
-  · ext x
-    simpa [mul_comm] using hsum x
+  · ext x; simpa [mul_comm] using hsum x
 #align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt
 
 /-- Lagrange multipliers theorem. Let `f : ι → E → ℝ` be a finite family of functions.

f2ce6086

bump to nightly-2023-05-22-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

a4206c98

Diff

@@ -43,9 +43,9 @@ variable {E F : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpac
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, and the codomain of `f` is
 a complete space, then the linear map `x ↦ (f' x, φ' x)` is not surjective. -/
-theorem IsLocalExtrOn.range_ne_top_of_hasStrictFderivAt
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFderivAt f f' x₀)
-    (hφ' : HasStrictFderivAt φ φ' x₀) : LinearMap.range (f'.Prod φ') ≠ ⊤ :=
+theorem IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt
+    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hφ' : HasStrictFDerivAt φ φ' x₀) : LinearMap.range (f'.Prod φ') ≠ ⊤ :=
   by
   intro htop
   set fφ := fun x => (f x, φ x)
@@ -55,15 +55,15 @@ theorem IsLocalExtrOn.range_ne_top_of_hasStrictFderivAt
     rw [← map_map, nhdsWithin, map_inf_principal_preimage, (hf'.prod hφ').map_nhds_eq_of_surj htop]
     exact map_snd_nhdsWithin _
   exact hextr.not_nhds_le_map A.ge
-#align is_local_extr_on.range_ne_top_of_has_strict_fderiv_at IsLocalExtrOn.range_ne_top_of_hasStrictFderivAt
+#align is_local_extr_on.range_ne_top_of_has_strict_fderiv_at IsLocalExtrOn.range_ne_top_of_hasStrictFDerivAt
 
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, both `f : E → F` and `φ` are strictly differentiable at `x₀`, and the codomain of `f` is
 a complete space, then there exist `Λ : dual ℝ F` and `Λ₀ : ℝ` such that `(Λ, Λ₀) ≠ 0` and
 `Λ (f' x) + Λ₀ • φ' x = 0` for all `x`. -/
-theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFderivAt
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFderivAt f f' x₀)
-    (hφ' : HasStrictFderivAt φ φ' x₀) :
+theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
+    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : Module.Dual ℝ F)(Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ ∀ x, Λ (f' x) + Λ₀ • φ' x = 0 :=
   by
   rcases Submodule.exists_le_ker_of_lt_top _
@@ -80,14 +80,14 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFderivAt
     LinearEquiv.refl_apply, LinearMap.ringLmapEquivSelf_symm_apply, LinearMap.coprodEquiv_apply,
     [anonymous], ContinuousLinearMap.coe_prod, LinearMap.coprod_comp_prod, LinearMap.add_apply,
     LinearMap.coe_comp, ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
-#align is_local_extr_on.exists_linear_map_of_has_strict_fderiv_at IsLocalExtrOn.exists_linear_map_of_hasStrictFderivAt
+#align is_local_extr_on.exists_linear_map_of_has_strict_fderiv_at IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
 
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`
 at `x₀`, and both `f : E → ℝ` and `φ` are strictly differentiable at `x₀`, then there exist
 `a b : ℝ` such that `(a, b) ≠ 0` and `a • f' + b • φ' = 0`. -/
-theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt_1d {f : E → ℝ} {f' : E →L[ℝ] ℝ}
-    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFderivAt f f' x₀)
-    (hφ' : HasStrictFderivAt φ φ' x₀) : ∃ a b : ℝ, (a, b) ≠ 0 ∧ a • f' + b • φ' = 0 :=
+theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d {f : E → ℝ} {f' : E →L[ℝ] ℝ}
+    (hextr : IsLocalExtrOn φ { x | f x = f x₀ } x₀) (hf' : HasStrictFDerivAt f f' x₀)
+    (hφ' : HasStrictFDerivAt φ φ' x₀) : ∃ a b : ℝ, (a, b) ≠ 0 ∧ a • f' + b • φ' = 0 :=
   by
   obtain ⟨Λ, Λ₀, hΛ, hfΛ⟩ := hextr.exists_linear_map_of_has_strict_fderiv_at hf' hφ'
   refine' ⟨Λ 1, Λ₀, _, _⟩
@@ -100,7 +100,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt_1d {f : E → ℝ}
       simpa only [mul_one, Algebra.id.smul_eq_mul] using Λ.map_smul (f' x) 1
     have H₂ : f' x * Λ 1 + Λ₀ * φ' x = 0 := by simpa only [Algebra.id.smul_eq_mul, H₁] using hfΛ x
     simpa [mul_comm] using H₂
-#align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at_1d IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt_1d
+#align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at_1d IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt_1d
 
 /-- Lagrange multipliers theorem, 1d version. Let `f : ι → E → ℝ` be a finite family of functions.
 Suppose that `φ : E → ℝ` has a local extremum on the set `{x | ∀ i, f i x = f i x₀}` at `x₀`.
@@ -110,15 +110,15 @@ there exist `Λ : ι → ℝ` and `Λ₀ : ℝ`, `(Λ, Λ₀) ≠ 0`, such that
 
 See also `is_local_extr_on.linear_dependent_of_has_strict_fderiv_at` for a version that
 states `¬linear_independent ℝ _` instead of existence of `Λ` and `Λ₀`. -/
-theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt {ι : Type _} [Fintype ι]
+theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fintype ι]
     {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ { x | ∀ i, f i x = f i x₀ } x₀)
-    (hf' : ∀ i, HasStrictFderivAt (f i) (f' i) x₀) (hφ' : HasStrictFderivAt φ φ' x₀) :
+    (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : ι → ℝ)(Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 :=
   by
   letI := Classical.decEq ι
   replace hextr : IsLocalExtrOn φ { x | (fun i => f i x) = fun i => f i x₀ } x₀
   · simpa only [Function.funext_iff] using hextr
-  rcases hextr.exists_linear_map_of_has_strict_fderiv_at (hasStrictFderivAt_pi.2 fun i => hf' i)
+  rcases hextr.exists_linear_map_of_has_strict_fderiv_at (hasStrictFDerivAt_pi.2 fun i => hf' i)
       hφ' with
     ⟨Λ, Λ₀, h0, hsum⟩
   rcases(LinearEquiv.piRing ℝ ℝ ι ℝ).symm.Surjective Λ with ⟨Λ, rfl⟩
@@ -126,7 +126,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt {ι : Type _} [Fin
   · simpa only [Ne.def, Prod.ext_iff, LinearEquiv.map_eq_zero_iff, Prod.fst_zero] using h0
   · ext x
     simpa [mul_comm] using hsum x
-#align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFderivAt
+#align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt
 
 /-- Lagrange multipliers theorem. Let `f : ι → E → ℝ` be a finite family of functions.
 Suppose that `φ : E → ℝ` has a local extremum on the set `{x | ∀ i, f i x = f i x₀}` at `x₀`.
@@ -136,9 +136,9 @@ Then the derivatives `f' i : E → L[ℝ] ℝ` and `φ' : E →L[ℝ] ℝ` are l
 See also `is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at` for a version that
 that states existence of Lagrange multipliers `Λ` and `Λ₀` instead of using
 `¬linear_independent ℝ _` -/
-theorem IsLocalExtrOn.linear_dependent_of_hasStrictFderivAt {ι : Type _} [Finite ι] {f : ι → E → ℝ}
+theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type _} [Finite ι] {f : ι → E → ℝ}
     {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ { x | ∀ i, f i x = f i x₀ } x₀)
-    (hf' : ∀ i, HasStrictFderivAt (f i) (f' i) x₀) (hφ' : HasStrictFderivAt φ φ' x₀) :
+    (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ¬LinearIndependent ℝ (Option.elim' φ' f' : Option ι → E →L[ℝ] ℝ) :=
   by
   cases nonempty_fintype ι
@@ -147,5 +147,5 @@ theorem IsLocalExtrOn.linear_dependent_of_hasStrictFderivAt {ι : Type _} [Finit
   refine' ⟨Option.elim' Λ₀ Λ, _, _⟩
   · simpa [add_comm] using hΛf
   · simpa [Function.funext_iff, not_and_or, or_comm', Option.exists] using hΛ
-#align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFderivAt
+#align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt

f2ce6086

bump to nightly-2023-04-04-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

7deba5a0

Diff

@@ -78,9 +78,8 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFderivAt
   -- squeezed `simp [mul_comm]` to speed up elaboration
   simp only [mul_comm, Algebra.id.smul_eq_mul, LinearEquiv.trans_apply, LinearEquiv.prod_apply,
     LinearEquiv.refl_apply, LinearMap.ringLmapEquivSelf_symm_apply, LinearMap.coprodEquiv_apply,
-    ContinuousLinearMap.toLinearMap_eq_coe, ContinuousLinearMap.coe_prod,
-    LinearMap.coprod_comp_prod, LinearMap.add_apply, LinearMap.coe_comp,
-    ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
+    [anonymous], ContinuousLinearMap.coe_prod, LinearMap.coprod_comp_prod, LinearMap.add_apply,
+    LinearMap.coe_comp, ContinuousLinearMap.coe_coe, LinearMap.coe_smulRight, LinearMap.one_apply]
 #align is_local_extr_on.exists_linear_map_of_has_strict_fderiv_at IsLocalExtrOn.exists_linear_map_of_hasStrictFderivAt
 
 /-- Lagrange multipliers theorem: if `φ : E → ℝ` has a local extremum on the set `{x | f x = f x₀}`

f2ce6086

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

f2ce6086

chore: avoid Ne.def (adaptation for nightly-2024-03-27) (#11801)

1b40c7bc

Diff

@@ -117,7 +117,7 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type*} [Fint
     ⟨Λ, Λ₀, h0, hsum⟩
   rcases (LinearEquiv.piRing ℝ ℝ ι ℝ).symm.surjective Λ with ⟨Λ, rfl⟩
   refine' ⟨Λ, Λ₀, _, _⟩
-  · simpa only [Ne.def, Prod.ext_iff, LinearEquiv.map_eq_zero_iff, Prod.fst_zero] using h0
+  · simpa only [Ne, Prod.ext_iff, LinearEquiv.map_eq_zero_iff, Prod.fst_zero] using h0
   · ext x; simpa [mul_comm] using hsum x
 #align is_local_extr_on.exists_multipliers_of_has_strict_fderiv_at IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt
 
@@ -138,6 +138,6 @@ theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type*} [Finite
   rcases hextr.exists_multipliers_of_hasStrictFDerivAt hf' hφ' with ⟨Λ, Λ₀, hΛ, hΛf⟩
   refine' ⟨Option.elim' Λ₀ Λ, _, _⟩
   · simpa [add_comm] using hΛf
-  · simpa only [Function.funext_iff, not_and_or, or_comm, Option.exists, Prod.mk_eq_zero, Ne.def,
+  · simpa only [Function.funext_iff, not_and_or, or_comm, Option.exists, Prod.mk_eq_zero, Ne,
       not_forall] using hΛ
 #align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt

f2ce6086

chore: prepare Lean version bump with explicit simp (#10999)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

38bce757

Diff

@@ -71,8 +71,8 @@ theorem IsLocalExtrOn.exists_linear_map_of_hasStrictFDerivAt
   refine' ⟨Λ, Λ₀, e.map_ne_zero_iff.1 h0, fun x => _⟩
   convert LinearMap.congr_fun (LinearMap.range_le_ker_iff.1 hΛ') x using 1
   -- squeezed `simp [mul_comm]` to speed up elaboration
-  simp only [smul_eq_mul, LinearEquiv.trans_apply, LinearEquiv.prod_apply, LinearEquiv.refl_apply,
-    LinearMap.ringLmapEquivSelf_symm_apply, LinearMap.coprodEquiv_apply,
+  simp only [e, smul_eq_mul, LinearEquiv.trans_apply, LinearEquiv.prod_apply,
+    LinearEquiv.refl_apply, LinearMap.ringLmapEquivSelf_symm_apply, LinearMap.coprodEquiv_apply,
     ContinuousLinearMap.coe_prod, LinearMap.coprod_comp_prod, LinearMap.add_apply,
     LinearMap.coe_comp, ContinuousLinearMap.coe_coe, Function.comp_apply, LinearMap.coe_smulRight,
     LinearMap.one_apply, mul_comm]

f2ce6086

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -110,8 +110,8 @@ theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type*} [Fint
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 := by
   letI := Classical.decEq ι
-  replace hextr : IsLocalExtrOn φ {x | (fun i => f i x) = fun i => f i x₀} x₀
-  · simpa only [Function.funext_iff] using hextr
+  replace hextr : IsLocalExtrOn φ {x | (fun i => f i x) = fun i => f i x₀} x₀ := by
+    simpa only [Function.funext_iff] using hextr
   rcases hextr.exists_linear_map_of_hasStrictFDerivAt (hasStrictFDerivAt_pi.2 fun i => hf' i)
       hφ' with
     ⟨Λ, Λ₀, h0, hsum⟩
@@ -141,4 +141,3 @@ theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type*} [Finite
   · simpa only [Function.funext_iff, not_and_or, or_comm, Option.exists, Prod.mk_eq_zero, Ne.def,
       not_forall] using hΛ
 #align is_local_extr_on.linear_dependent_of_has_strict_fderiv_at IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt
-

f2ce6086

chore(Calculus/Inverse): split (#8603)

5d4fa550

Diff

@@ -3,7 +3,8 @@ Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathlib.Analysis.Calculus.Inverse
+import Mathlib.Analysis.Calculus.FDeriv.Prod
+import Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv
 import Mathlib.LinearAlgebra.Dual
 
 #align_import analysis.calculus.lagrange_multipliers from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"

f2ce6086

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -33,7 +33,7 @@ open Filter Set
 
 open scoped Topology Filter BigOperators
 
-variable {E F : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
+variable {E F : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] [CompleteSpace E]
   [NormedAddCommGroup F] [NormedSpace ℝ F] [CompleteSpace F] {f : E → F} {φ : E → ℝ} {x₀ : E}
   {f' : E →L[ℝ] F} {φ' : E →L[ℝ] ℝ}
 
@@ -104,7 +104,7 @@ there exist `Λ : ι → ℝ` and `Λ₀ : ℝ`, `(Λ, Λ₀) ≠ 0`, such that
 
 See also `IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt` for a version that
 states `¬LinearIndependent ℝ _` instead of existence of `Λ` and `Λ₀`. -/
-theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type _} [Fintype ι]
+theorem IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt {ι : Type*} [Fintype ι]
     {f : ι → E → ℝ} {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ {x | ∀ i, f i x = f i x₀} x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ∃ (Λ : ι → ℝ) (Λ₀ : ℝ), (Λ, Λ₀) ≠ 0 ∧ (∑ i, Λ i • f' i) + Λ₀ • φ' = 0 := by
@@ -128,7 +128,7 @@ Then the derivatives `f' i : E → L[ℝ] ℝ` and `φ' : E →L[ℝ] ℝ` are l
 See also `IsLocalExtrOn.exists_multipliers_of_hasStrictFDerivAt` for a version that
 that states existence of Lagrange multipliers `Λ` and `Λ₀` instead of using
 `¬LinearIndependent ℝ _` -/
-theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type _} [Finite ι] {f : ι → E → ℝ}
+theorem IsLocalExtrOn.linear_dependent_of_hasStrictFDerivAt {ι : Type*} [Finite ι] {f : ι → E → ℝ}
     {f' : ι → E →L[ℝ] ℝ} (hextr : IsLocalExtrOn φ {x | ∀ i, f i x = f i x₀} x₀)
     (hf' : ∀ i, HasStrictFDerivAt (f i) (f' i) x₀) (hφ' : HasStrictFDerivAt φ φ' x₀) :
     ¬LinearIndependent ℝ (Option.elim' φ' f' : Option ι → E →L[ℝ] ℝ) := by

f2ce6086

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) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.calculus.lagrange_multipliers
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Calculus.Inverse
 import Mathlib.LinearAlgebra.Dual
 
+#align_import analysis.calculus.lagrange_multipliers from "leanprover-community/mathlib"@"f2ce6086713c78a7f880485f7917ea547a215982"
+
 /-!
 # Lagrange multipliers

f2ce6086

feat: port Analysis.Calculus.LagrangeMultipliers (#4663)

756d1f89

`analysis.calculus.lagrange_multipliers` ⟷ `Mathlib.Analysis.Calculus.LagrangeMultipliers`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 883

analysis.calculus.lagrange_multipliers ⟷ Mathlib.Analysis.Calculus.LagrangeMultipliers

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 883

`analysis.calculus.lagrange_multipliers` ⟷ `Mathlib.Analysis.Calculus.LagrangeMultipliers`