Theorems · Theorem · group theory
Matrix.smul_cons
∀ {α : Type u_1} {M : Type u_2} {n : ℕ} [inst : SMul M α] (x : M) (y : α) (v : Fin n → α),
x • Matrix.vecCons y v = Matrix.vecCons (x • y) (x • v)- Defined in
- Mathlib.Algebra.Group.Fin.Tuple
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrix.vecConsstatement · cited by 852
- Matrix.cons_val_succproof · cited by 47
Cited by9
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Projective.neg_of_Z_eq_zeroproof · cited by 3
- Height.mulHeight₁_div_eq_mulHeightproof · cited by 2
- Rat.mulHeight_self_one_eq_mulHeight_num_denproof · cited by 1
- Matrix.smul_vec3proof · cited by 1
- NumberField.mixedEmbedding.det_matrixToStdBasisproof · cited by 1
- ContDiffAt.harmonicAtproof · cited by 1
- Matrix.of_mem_specialOrthogonalGroup_fin_two_iffproof · cited by 1
- NumberField.mixedEmbedding.stdBasis_repr_eq_matrixToStdBasis_mulproof · cited by 1
- Matrix.smul_vec2proof · cited by 0