Theorems · Theorem · nonassociative algebras
LieAlgebra.matrix_trace_commutator_zero
∀ (n : Type u_1) (R : Type u₂) [inst : CommRing R] [inst_1 : Fintype n] (X Y : Matrix n n R), ⁅X, Y⁆.trace = 0
- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- sub_selfproof · cited by 996
- Bracket.bracketstatement · cited by 642
- Matrix.tracestatement and proof · cited by 114
- Matrix.trace_mul_commproof · cited by 5
- Matrix.trace_subproof · cited by 1
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