Theorems · Theorem · linear algebra
Matrix.mul_sub
∀ {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 N' : Matrix n o α), M * (N - N') = M * N - M * N'- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 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.
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
- sub_eq_add_negproof · cited by 1,023
- NonUnitalNonAssocRingstatement and proof · cited by 354
- Matrix.mul_addproof · cited by 11
- Matrix.mul_negproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.add_mul_mul_mul_invOf_eq_oneproof · cited by 0