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Mathlib/LinearAlgebra/TensorAlgebra/Hopf.lean

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@@ -3,9 +3,11 @@ Copyright (c) 2025 Nikolas Tapia. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Nikolas Tapia
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-/
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import Mathlib.LinearAlgebra.TensorAlgebra.Basic
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import Mathlib.RingTheory.Coalgebra.Convolution
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import Mathlib.RingTheory.HopfAlgebra.Basic
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module
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public import Mathlib.LinearAlgebra.TensorAlgebra.Basic
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public import Mathlib.RingTheory.Coalgebra.Convolution
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public import Mathlib.RingTheory.HopfAlgebra.Basic
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/-!
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# Hopf algebra structure on `TensorAlgebra R M`
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`algebraMapInv` acts as the counit, and the antipode is the unique algebra map `antipode :
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TensorAlgebra R M → (TensorAlgebra R M)ᵐᵒᵖ` induced by `fun x => op -(ι R) x`.
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-/
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@[expose] public section
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namespace TensorAlgebra
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open scoped TensorProduct RingTheory.LinearMap Coalgebra

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