Theorems · Theorem · linear algebra
dotProduct_diagonal
∀ {m : Type u_2} {α : Type v} [inst : Fintype m] [inst_1 : DecidableEq m] [inst_2 : NonUnitalNonAssocSemiring α]
(v w : m → α) (i : m), v ⬝ᵥ Matrix.diagonal w i = v i * w i- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- MulZeroClass.mul_zeroproof · cited by 2,091
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Matrix.diagonalstatement and proof · cited by 314
- dotProductstatement and proof · cited by 194
- Finset.sum_eq_singleproof · cited by 98
- Matrix.diagonal_apply_eqproof · cited by 64
- Matrix.diagonal_apply_ne'proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.mul_diagonalproof · cited by 15