Theorems · Theorem · group theory
Monoid.minOrder_eq_top
∀ {G : Type u_1} [inst : Group G] [IsMulTorsionFree G], Monoid.minOrder G = ⊤- Defined in
- Mathlib.GroupTheory.Order.Min
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupIsMulTorsionFree
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Groupstatement and proof · cited by 6,238
- ENatstatement · cited by 4,985
- orderOfproof · cited by 324
- IsOfFinOrderproof · cited by 113
- IsMulTorsionFreestatement and proof · cited by 44
- Monoid.minOrderstatement · cited by 7
- not_isOfFinOrder_of_isMulTorsionFreeproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- cauchy_davenport_of_isMulTorsionFreeproof · cited by 0