Theorems · Theorem · nonassociative algebras
SymAlg.unsym_mul
∀ {α : Type u_1} [inst : Mul α] [inst_1 : Add α] [inst_2 : One α] [inst_3 : OfNat α 2] [inst_4 : Invertible 2]
(a b : αˢʸᵐ), SymAlg.unsym (a * b) = ⅟2 * (SymAlg.unsym a * SymAlg.unsym b + SymAlg.unsym b * SymAlg.unsym a)- Defined in
- Mathlib.Algebra.Symmetrized
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- MulAddOneOfNatInvertible
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement · cited by 268
- SymAlgstatement and proof · cited by 43
- SymAlg.unsymstatement · cited by 25
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