Theorems · Definition · linear algebra
Matrix.addMonoidHomMulLeft
{l : Type u_1} →
{m : Type u_2} →
{n : Type u_3} →
{α : Type v} → [inst : NonUnitalNonAssocSemiring α] → [Fintype m] → Matrix l m α → Matrix m n α →+ Matrix l n αLeft multiplication by a matrix, as an AddMonoidHom from matrices to matrices.
- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- AddMonoidHomstatement · cited by 3,230
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Matrix.mul_zeroproof · cited by 14
- Matrix.mul_addproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.addMonoidHomMulLeft_applystatement and proof · cited by 0
- Matrix.mul_sumproof · cited by 0