Theorems · Theorem · group theory
Subgroup.exponent_toSubmonoid
∀ {G : Type u} [inst : Group G] (H : Subgroup G), Monoid.exponent ↥H.toSubmonoid = Monoid.exponent ↥H- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Submonoidstatement · cited by 3,086
- Monoid.exponentstatement · cited by 128
- Subgroup.toSubmonoidstatement · cited by 114
- MulEquiv.subgroupCongrproof · cited by 10
- Monoid.exponent_eq_of_mulEquivproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.pow_exponent_eq_oneproof · cited by 0