feat: Add properties of dualization of indices
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@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.Tensors.ColorCat.Basic
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import Mathlib.CategoryTheory.Monoidal.NaturalTransformation
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/-!
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## Tensor trees
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@ -32,6 +33,8 @@ structure TensorStruct where
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F : MonoidalFunctor (OverColor C) (Rep k G)
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/-- A map from `C` to `C`. An involution. -/
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τ : C → C
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/-- A monoidal natural isomorphism from OverColor.map τ ⋙ F to F. -/
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dual : MonoidalNatIso (OverColor.map τ ⋙ F) F
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/-- A specification of the dimension of each color in C. This will be used for explicit
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evaluation of tensors. -/
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evalNo : C → ℕ
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