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chore(*): add mathlib4 synchronization comments (#19132)
Regenerated from the [port status wiki page](https://github.com/leanprover-community/mathlib/wiki/mathlib4-port-status). Relates to the following files: * `algebra.category.Module.adjunctions` * `analysis.calculus.darboux` * `analysis.calculus.deriv.inv` * `analysis.calculus.diff_cont_on_cl` * `analysis.calculus.dslope` * `analysis.inner_product_space.gram_schmidt_ortho` * `category_theory.abelian.ext` * `category_theory.abelian.left_derived` * `category_theory.bicategory.single_obj` * `data.real.golden_ratio` * `measure_theory.category.Meas` * `measure_theory.decomposition.jordan` * `measure_theory.decomposition.signed_hahn` * `measure_theory.group.action` * `measure_theory.group.measure` * `number_theory.arithmetic_function` * `number_theory.l_series` * `number_theory.von_mangoldt` * `topology.algebra.continuous_monoid_hom` * `topology.instances.discrete` * `topology.sheaves.stalks` * `topology.tietze_extension`
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src/algebra/category/Module/adjunctions.lean

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import category_theory.linear.linear_functor
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/-!
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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The functor of forming finitely supported functions on a type with values in a `[ring R]`
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is the left adjoint of
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the forgetful functor from `R`-modules to types.

src/analysis/calculus/darboux.lean

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/-!
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# Darboux's theorem
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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In this file we prove that the derivative of a differentiable function on an interval takes all
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intermediate values. The proof is based on the
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[Wikipedia](https://en.wikipedia.org/wiki/Darboux%27s_theorem_(analysis)) page about this theorem.

src/analysis/calculus/deriv/inv.lean

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/-!
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# Derivatives of `x ↦ x⁻¹` and `f x / g x`
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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In this file we prove `(x⁻¹)' = -1 / x ^ 2`, `((f x)⁻¹)' = -f' x / (f x) ^ 2`, and
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`(f x / g x)' = (f' x * g x - f x * g' x) / (g x) ^ 2` for different notions of derivative.
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src/analysis/calculus/diff_cont_on_cl.lean

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/-!
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# Functions differentiable on a domain and continuous on its closure
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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Many theorems in complex analysis assume that a function is complex differentiable on a domain and
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is continuous on its closure. In this file we define a predicate `diff_cont_on_cl` that expresses
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this property and prove basic facts about this predicate.

src/analysis/calculus/dslope.lean

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/-!
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# Slope of a differentiable function
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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Given a function `f : 𝕜 → E` from a nontrivially normed field to a normed space over this field,
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`dslope f a b` is defined as `slope f a b = (b - a)⁻¹ • (f b - f a)` for `a ≠ b` and as `deriv f a`
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for `a = b`.

src/analysis/inner_product_space/gram_schmidt_ortho.lean

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/-!
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# Gram-Schmidt Orthogonalization and Orthonormalization
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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In this file we introduce Gram-Schmidt Orthogonalization and Orthonormalization.
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The Gram-Schmidt process takes a set of vectors as input

src/category_theory/abelian/ext.lean

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/-!
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# Ext
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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We define `Ext R C n : Cᵒᵖ ⥤ C ⥤ Module R` for any `R`-linear abelian category `C`
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by (left) deriving in the first argument of the bifunctor `(X, Y) ↦ Module.of R (unop X ⟶ Y)`.
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src/category_theory/abelian/left_derived.lean

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/-!
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# Zeroth left derived functors
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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If `F : C ⥤ D` is an additive right exact functor between abelian categories, where `C` has enough
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projectives, we provide the natural isomorphism `F.left_derived 0 ≅ F`.
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src/category_theory/bicategory/single_obj.lean

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/-!
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# Promoting a monoidal category to a single object bicategory.
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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A monoidal category can be thought of as a bicategory with a single object.
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The objects of the monoidal category become the 1-morphisms,

src/data/real/golden_ratio.lean

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/-!
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# The golden ratio and its conjugate
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> Any changes to this file require a corresponding PR to mathlib4.
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This file defines the golden ratio `φ := (1 + √5)/2` and its conjugate
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`ψ := (1 - √5)/2`, which are the two real roots of `X² - X - 1`.
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