Theorems · Theorem · ring theory
LinearMap.pow_mulLeft
∀ (R : Type u_1) (A : Type u_2) [inst : Semiring R] [inst_1 : Semiring A] [inst_2 : Module R A] [inst_3 : SMulCommClass R A A] (a : A) (n : ℕ), LinearMap.mulLeft R a ^ n = LinearMap.mulLeft R (a ^ n)
- Defined in
- Mathlib.Algebra.Algebra.Bilinear
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- SMulCommClassstatement and proof · cited by 1,927
- LinearMap.mulLeftstatement · cited by 34
Cited by2
Results whose statement or proof uses this declaration.
- JacobsonNoether.exist_pow_eq_zero_of_leproof · cited by 1
- LinearMap.isNilpotent_mulLeft_iffproof · cited by 1