Theorems · Theorem · nonassociative algebras
SymAlg.sym_mul_self
∀ {α : Type u_1} [inst : Semiring α] [inst_1 : Invertible 2] (a : α), SymAlg.sym (a * a) = SymAlg.sym a * SymAlg.sym a- Defined in
- Mathlib.Algebra.Symmetrized
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringInvertible
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- Invertiblestatement and proof · cited by 549
- Invertible.invOfproof · cited by 268
- two_mulproof · cited by 232
- SymAlgstatement and proof · cited by 43
- SymAlg.symstatement and proof · cited by 26
- invOf_mul_cancel_leftproof · cited by 3
- SymAlg.sym_mul_symproof · cited by 1
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