Theorems · Theorem · linear algebra
Matrix.mul_mul_right
∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type v} [inst : CommSemiring α] [inst_1 : Fintype n]
(M : Matrix m n α) (N : Matrix n o α) (a : α), (M * Matrix.of fun i j => a * N i j) = a • (M * N)- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFintype
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Cites7
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- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Matrix.ofstatement · cited by 336
- Matrix.mul_smulproof · cited by 14
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