Theorems · Theorem
Matrix.smul_vec3
∀ {α : Type u} {R : Type u_1} [inst : SMul R α] (x : R) (a₀ a₁ a₂ : α), x • ![a₀, a₁, a₂] = ![x • a₀, x • a₁, x • a₂]- Defined in
- Mathlib.LinearAlgebra.Matrix.Notation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Matrix.smul_consproof · cited by 9
- Matrix.smul_emptyproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- crossProduct_ne_zero_iff_linearIndependentproof · cited by 1