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<?php| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/wiener_levy_analytic_calculus_64feeb4f40/Basic.lean | |
| /-! Elementary Fourier synthesis for absolutely summable coefficients. | |
| These facts are convenient since mathlib's `lp` supplies the Banach space but | |
| `Analysis/Fourier/AddCircle` only states the inverse theorem for coefficients | |
| of an already continuous function. -/ | |
| noncomputable section | |
| open Set MeasureTheory |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/tverberg_theorem_65d3218943/Colorful.lean | |
| /-! Proof-only infrastructure: a finite colorful convex hull lemma. -/ | |
| noncomputable section | |
| open scoped BigOperators RealInnerProductSpace | |
| open Set Filter | |
| namespace Tverberg65 |
| import Mathlib | |
| import Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Instances | |
| -- BEGIN INLINED FILE: Mathlib/Support/strong_subadditivity_fb0a335e77/AnalyticBase.lean | |
| open ComplexOrder | |
| open scoped MatrixOrder Matrix.Norms.L2Operator | |
| open Filter | |
| -- Continuity of the harmless, total version of x log x on self-adjoint matrix paths. | |
| noncomputable section |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/stable_unstable_manifolds_da940581de/ComplexEigen.lean | |
| open scoped TensorProduct | |
| open Polynomial | |
| namespace StableSupport | |
| variable {W : Type*} [AddCommGroup W] [Module ℝ W] [FiniteDimensional ℝ W] |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/shannon_capacity_pentagon_cf29d4694a/Foundation.lean | |
| open scoped BigOperators | |
| open BigOperators | |
| namespace ShannonCap5Support | |
| /-- the positive golden inverse -/ |
| import Mathlib | |
| import Mathlib.Analysis.InnerProductSpace.Projection.Reflection | |
| -- BEGIN INLINED FILE: Mathlib/Support/semilinear_poisson_radial_symmetry_0e8f4ce1bc/Linearize.lean | |
| open scoped NNReal | |
| namespace SemilinearPoissonSupport | |
| /-- Difference quotients of a Lipschitz real nonlinearity can be chosen at | |
| zero differences too. This is the bounded coefficient in the reflected |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/schauder_fixed_point_390f5406f7/CubeParity.lean | |
| open scoped BigOperators | |
| open Finset Function | |
| namespace CubeParity | |
| variable {D : Type*} [DecidableEq D] | |
| lemma pair_sum_zero (S : Finset D) (A : D → D → ZMod 2) | |
| (hs : ∀ d ∈ S, ∀ e ∈ S, d ≠ e → A d e = A e d) : |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/sard_theorem_8feee3b75b/FlatTaylor.lean | |
| open MeasureTheory Module | |
| open scoped ContDiff NNReal ENNReal | |
| namespace SardSupport | |
| -- uniform Holder estimate for a bounded flat set | |
| lemma holderOnWith_nat_of_flat | |
| {E F : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E] | |
| [FiniteDimensional ℝ E] |
| import Mathlib | |
| -- BEGIN INLINED FILE: Mathlib/Support/runge_theorem_ac7707d823/Rational.lean | |
| open scoped Polynomial BigOperators | |
| open Polynomial Finset | |
| noncomputable section | |
| namespace RungeSupport |