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Theorems · Theorem

Matrix.vecMul_cons

∀ {α : Type u} {n : ℕ} {o' : Type uₒ} [inst : NonUnitalNonAssocSemiring α] (v : Fin n.succ → α) (w : o' → α)
  (B : Fin n → o' → α),
  Matrix.vecMul v (Matrix.of (Matrix.vecCons w B)) =
    Matrix.vecHead v • w + Matrix.vecMul (Matrix.vecTail v) (Matrix.of B)
Defined in
Mathlib.LinearAlgebra.Matrix.Notation
Cited by
3 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocSemiring
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Around this declaration

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

ModularGroup.S_mul_S_eq · cited by 2ModularGroup.S_mul_S_eqUpperHalfPlane.J_sq · cited by 1UpperHalfPlane.J_sqMatrix.cons_vecMul_cons · cited by 0Matrix.cons_vecMul_consDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivMatrix · cited by 4303MatrixNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringMatrix.vecCons · cited by 852Matrix.vecConsMatrix.of · cited by 336Matrix.ofdotProduct · cited by 194dotProductMatrix.vecMul · cited by 148Matrix.vecMulMatrix.cons_val' · cited by 88Matrix.cons_val'Matrix.vecTail · cited by 39Matrix.vecTailMatrix.vecHead · cited by 34Matrix.vecHeadMatrix.dotProduct_cons · cited by 5Matrix.dotProduct_consMatrix.vecMul_consCITED BYCITES

Cites12

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Cited by3

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