Theorems · Theorem · linear algebra
Matrix.neg_mul
∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type v} [inst : NonUnitalNonAssocRing α] [inst_1 : Fintype n]
(M : Matrix m n α) (N : Matrix n o α), -M * N = -(M * N)- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRingFintype
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
- Matrix.extproof · cited by 540
- NonUnitalNonAssocRingstatement and proof · cited by 354
- neg_dotProductproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- Matrix.det_one_add_mul_commproof · cited by 5
- Matrix.J_squaredproof · cited by 3
- Matrix.charpoly_mul_comm'proof · cited by 2
- SymplecticGroup.inv_left_mul_auxproof · cited by 2
- SymplecticGroup.transpose_memproof · cited by 2
- Matrix.sub_mulproof · cited by 1
- Matrix.det_one_sub_mul_commproof · cited by 1
- SymplecticGroup.inv_eq_symplectic_invproof · cited by 0