Theorems · Theorem · linear algebra
Matrix.trace_kronecker
∀ {α : Type u_3} {m : Type u_10} {n : Type u_11} [inst : Fintype m] [inst_1 : Fintype n] [inst_2 : Semiring α]
(A : Matrix m m α) (B : Matrix n n α), (Matrix.kroneckerMap (fun x1 x2 => x1 * x2) A B).trace = A.trace * B.trace- Defined in
- Mathlib.LinearAlgebra.Matrix.Kronecker
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- AlgHom.toLinearMapproof · cited by 254
- Matrix.tracestatement · cited by 114
- Matrix.kroneckerMapstatement · cited by 95
- Algebra.lmulproof · cited by 41
- Matrix.trace_kroneckerMapBilinearproof · cited by 2
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