Theorems · Theorem · group theory
Subgroup.zpowers_eq_closure
∀ {G : Type u_1} [inst : Group G] (g : G), Subgroup.zpowers g = Subgroup.closure {g}- Cited by
- 5 results in Mathlib
- Foundations
- Depth 72 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.
- Setstatement · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- Subgroup.zpowersstatement · cited by 204
- Subgroup.closurestatement · cited by 196
- Subgroup.extproof · cited by 108
- Subgroup.mem_closure_singletonproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.zpowers_leproof · cited by 6
- MonoidHom.map_zpowersproof · cited by 5
- Subgroup.dense_xor_cyclicproof · cited by 2
- Equiv.Perm.OnCycleFactors.kerParam_injectiveproof · cited by 1
- Subgroup.toSubmonoid_zpowersproof · cited by 1