Theorems · Definition · linear algebra
mulLeftLinearMap
{l : Type u_1} →
{m : Type u_2} →
(n : Type u_3) →
(R : Type u_5) →
{A : Type u_6} →
[Fintype m] →
[inst : Semiring R] →
[inst_1 : NonUnitalNonAssocSemiring A] →
[inst_2 : Module R A] → [SMulCommClass R A A] → Matrix l m A → Matrix m n A →ₗ[R] Matrix l n AA version of LinearMap.mulLeft for matrix multiplication.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Bilinear
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Matrix.mul_addproof · cited by 11
Cited by10
Results whose statement or proof uses this declaration.
- mulLeftLinearMap_applystatement and proof · cited by 2
- mulLinearMapproof · cited by 2
- mulLeftLinearMap_zero_eq_zerostatement · cited by 1
- pow_mulLeftLinearMapstatement · cited by 0
- mulLeftLinearMap.congr_simpstatement and proof · cited by 0
- mulLeftLinearMap_eq_mulLeftstatement · cited by 0
- mulLeftLinearMap_eq_zero_iffstatement and proof · cited by 0
- mulLeftLinearMap_mulstatement and proof · cited by 0
- mulLeftLinearMap_onestatement · cited by 0
- commute_mulLeftLinearMap_mulRightLinearMapstatement · cited by 0