Theorems · Theorem · group theory
IsOfFinOrder.isUnit
∀ {M : Type u_6} [inst : Monoid M] {x : M}, IsOfFinOrder x → IsUnit x- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- IsOfFinOrderstatement and proof · cited by 113
- IsOfFinOrder.unitproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- isOfFinOrder_iff_isUnitproof · cited by 1
- IsOfFinOrder.pow_eq_pow_iff_modEqproof · cited by 1