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Theorems · Theorem · linear algebra

Matrix.vecMul_diagonal

∀ {m : Type u_2} {α : Type v} [inst : NonUnitalNonAssocSemiring α] [inst_1 : Fintype m] [inst_2 : DecidableEq m]
  (v w : m → α) (x : m), Matrix.vecMul v (Matrix.diagonal w) x = v x * w x
Defined in
Mathlib.Data.Matrix.Mul
Cited by
3 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocSemiringFintypeDecidableEq
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Around this declaration

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

Matrix.vecMul_one · cited by 5Matrix.vecMul_oneMatrix.vecMul_diagonal_const · cited by 2Matrix.vecMul_diagonal_co…Matrix.single_vecMul_diagonal · cited by 0Matrix.single_vecMul_diag…Fintype · cited by 7736FintypeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringMatrix.diagonal · cited by 314Matrix.diagonalMatrix.vecMul · cited by 148Matrix.vecMuldotProduct_diagonal' · cited by 1dotProduct_diagonal'Matrix.vecMul_diagonalCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.