Theorems · Theorem · group theory
Commute.pow_right
∀ {M : Type u_2} [inst : Monoid M] {a b : M}, Commute a b → ∀ (n : ℕ), Commute a (b ^ n)- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Commutestatement and proof · cited by 639
- SemiconjBy.pow_rightproof · cited by 9
Cited by12
Results whose statement or proof uses this declaration.
- Commute.add_powproof · cited by 12
- Commute.pow_leftproof · cited by 9
- Polynomial.eval₂_mul_noncommproof · cited by 7
- Commute.exp_rightproof · cited by 4
- Matrix.Commute.zpow_rightproof · cited by 3
- Commute.geom_sum₂_mul_addproof · cited by 3
- MvPowerSeries.commute_X_powproof · cited by 2
- isIdempotentElem_one_sub_one_sub_pow_powproof · cited by 1
- OreLocalization.oreDiv_powproof · cited by 1
- Commute.self_powproof · cited by 1
- Submodule.inf_iSup_genEigenspaceproof · cited by 1
- Commute.geom_sum₂_succ_eqproof · cited by 1