Theorems · Theorem · nonassociative algebras
mem_skewAdjointMatricesLieSubalgebra_unit_smul
∀ {R : Type u} {n : Type w} [inst : CommRing R] [inst_1 : Fintype n] [inst_2 : DecidableEq n] (u : Rˣ)
(J A : Matrix n n R), A ∈ skewAdjointMatricesLieSubalgebra (u • J) ↔ A ∈ skewAdjointMatricesLieSubalgebra J- Defined in
- Mathlib.Algebra.Lie.SkewAdjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingFintypeDecidableEq
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Cites13
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- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Unitsstatement and proof · cited by 2,804
- mul_negproof · cited by 590
- LieSubalgebrastatement · cited by 418
- Matrix.transposeproof · cited by 389
- LieRing.ofAssociativeRingstatement · cited by 227
- smul_negproof · cited by 181
- inv_smul_smulproof · cited by 76
- Matrix.mul_smulproof · cited by 14
- Matrix.smul_mulproof · cited by 11
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