Mathlib Map

Theorems · Theorem · linear algebra

Matrix.vecMul_diagonal_const

∀ {m : Type u_2} {α : Type v} [inst : NonAssocSemiring α] [inst_1 : Fintype m] [inst_2 : DecidableEq m] (x : α)
  (v : m → α), Matrix.vecMul v (Matrix.diagonal fun x_1 => x) = MulOpposite.op x • v
Defined in
Mathlib.Data.Matrix.Mul
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiringFintypeDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.vecMul_natCast · cited by 1Matrix.vecMul_natCastMatrix.vecMul_intCast · cited by 0Matrix.vecMul_intCastFintype · cited by 7736FintypeMulOpposite · cited by 1135MulOppositeNonAssocSemiring · cited by 805NonAssocSemiringMulOpposite.op · cited by 520MulOpposite.opMatrix.diagonal · cited by 314Matrix.diagonalMatrix.vecMul · cited by 148Matrix.vecMulMatrix.vecMul_diagonal · cited by 3Matrix.vecMul_diagonalMatrix.vecMul_diagonal_constCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.