Theorems · Theorem · linear algebra
Matrix.add_mulVec
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalNonAssocSemiring α] [inst_1 : Fintype n]
(A B : Matrix m n α) (x : n → α), (A + B).mulVec x = A.mulVec x + B.mulVec x- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Matrix.mulVecstatement · cited by 267
- add_dotProductproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- Matrix.sub_mulVecproof · cited by 2
- Matrix.Nonsingular.linearIndependent_colproof · cited by 2
- Matrix.SpecialLinearGroup.transvection_mulVec_single_otherproof · cited by 0
- Matrix.mulVecLin_addproof · cited by 0
- Matrix.SpecialLinearGroup.transvection_mulVec_single_selfproof · cited by 0
- Matrix.SpecialLinearGroup.transvection_smul_single_fstproof · cited by 0
- Matrix.SpecialLinearGroup.transvection_smul_single_sndproof · cited by 0