Theorems · Theorem · linear algebra
Matrix.vecMul_one
∀ {m : Type u_2} {α : Type v} [inst : NonAssocSemiring α] [inst_1 : Fintype m] [inst_2 : DecidableEq m] (v : m → α),
Matrix.vecMul v 1 = v- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- mul_oneproof · cited by 3,885
- NonAssocSemiringstatement and proof · cited by 805
- Matrix.vecMulstatement and proof · cited by 148
- Matrix.diagonal_oneproof · cited by 13
- Matrix.vecMul_diagonalproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Matrix.vecMul_surjective_iff_exists_left_inverseproof · cited by 1
- Matrix.IsHadamard.card_eq_mul_star_of_const_col_sumproof · cited by 1
- AffineBasis.affineIndependent_of_toMatrix_right_invproof · cited by 1
- AffineBasis.toMatrix_inv_vecMul_toMatrixproof · cited by 1
- Matrix.toLinearMapRight'_oneproof · cited by 1