Theorems · Theorem · group theory
IsIdempotentElem.pow_eq
∀ {M : Type u_1} [inst : Monoid M] {a : M}, IsIdempotentElem a → ∀ {n : ℕ}, n ≠ 0 → a ^ n = a- Defined in
- Mathlib.Algebra.Group.Idempotent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 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
- IsIdempotentElemstatement and proof · cited by 217
- IsIdempotentElem.pow_succ_eqproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- IsStarProjection.pow_eqproof · cited by 0