Theorems · Theorem · group theory
isUnit_pow_succ_iff
∀ {M : Type u_1} [inst : Monoid M] {n : ℕ} {a : M}, IsUnit (a ^ (n + 1)) ↔ IsUnit a- Defined in
- Mathlib.Algebra.Group.Commute.Units
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- 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
- IsUnitstatement · cited by 1,602
- isUnit_pow_iffproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.isUnit_det_zpow_iffproof · cited by 0