Theorems · Theorem · linear algebra
Matrix.add_mul
∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalNonAssocSemiring α] [inst_1 : Fintype m]
(L M : Matrix l m α) (N : Matrix m n α), (L + M) * N = L * N + M * N- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 9 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.extproof · cited by 540
- add_dotProductproof · cited by 7
Cited by11
Results whose statement or proof uses this declaration.
- mulRightLinearMapproof · cited by 9
- Matrix.transvection_mul_transvection_sameproof · cited by 2
- Matrix.addMonoidHomMulRightproof · cited by 2
- Matrix.transvection_mul_apply_of_neproof · cited by 2
- Matrix.transvection_mul_apply_sameproof · cited by 2
- Matrix.sub_mulproof · cited by 1
- Matrix.add_mul_mul_invOf_mul_eq_oneproof · cited by 0
- Matrix.add_mul_mul_invOf_mul_eq_one'proof · cited by 0
- CStarMatrix.add_mulproof · cited by 0
- Matrix.add_mul_mul_mul_invOf_eq_oneproof · cited by 0
- Matrix.add_mul_mul_mul_invOf_eq_one'proof · cited by 0