Theorems · Theorem · linear algebra
Matrix.vec_mul_eq_mulVec
∀ {l : Type u_2} {m : Type u_3} {n : Type u_1} {R : Type u_4} [inst : Semiring R] [inst_1 : Fintype m]
[inst_2 : Fintype n] [inst_3 : DecidableEq n] (A : Matrix l m R) (B : Matrix m n R),
(A * B).vec = (Matrix.kroneckerMap (fun x1 x2 => x1 * x2) 1 A).mulVec B.vec- Defined in
- Mathlib.LinearAlgebra.Matrix.Vec
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- eq_or_neproof · cited by 1,117
- Commuteproof · cited by 639
- Matrix.mulVecstatement · cited by 267
- Matrix.kroneckerMapstatement · cited by 95
- Matrix.mul_oneproof · cited by 45
- Matrix.one_apply_neproof · cited by 39
- Matrix.one_apply_eqproof · cited by 35
- Matrix.vecstatement and proof · cited by 27
- Matrix.transpose_oneproof · cited by 22
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