refactor: Spelling
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@ -37,7 +37,7 @@ open IndexNotation
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open CategoryTheory
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open MonoidalCategory
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/-- The sturcture of a type of tensors e.g. Lorentz tensors, Einstien tensors,
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/-- The structure of a type of tensors e.g. Lorentz tensors, Einstien tensors,
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complex Lorentz tensors. -/
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structure TensorSpecies where
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/-- The commutative ring over which we want to consider the tensors to live in,
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@ -555,13 +555,13 @@ end TensorSpecies
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inductive TensorTree (S : TensorSpecies) : {n : ℕ} → (Fin n → S.C) → Type where
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/-- A general tensor node. -/
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| tensorNode {n : ℕ} {c : Fin n → S.C} (T : S.F.obj (OverColor.mk c)) : TensorTree S c
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/-- A node correpsonding to the scalar multiple of a tensor by a element of the field. -/
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/-- A node corresponding to the scalar multiple of a tensor by a element of the field. -/
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| smul {n : ℕ} {c : Fin n → S.C} : S.k → TensorTree S c → TensorTree S c
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/-- A node corresponding to negation of a tensor. -/
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| neg {n : ℕ} {c : Fin n → S.C} : TensorTree S c → TensorTree S c
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/-- A node corresponding to the addition of two tensors. -/
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| add {n : ℕ} {c : Fin n → S.C} : TensorTree S c → TensorTree S c → TensorTree S c
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/-- A node correpsonding to the action of a group element on a tensor. -/
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/-- A node corresponding to the action of a group element on a tensor. -/
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| action {n : ℕ} {c : Fin n → S.C} : S.G → TensorTree S c → TensorTree S c
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/-- A node corresponding to the permutation of indices of a tensor. -/
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| perm {n m : ℕ} {c : Fin n → S.C} {c1 : Fin m → S.C}
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