Theorems · Theorem · group theory
Subgroup.zpowers_le
∀ {G : Type u_1} [inst : Group G] {g : G} {H : Subgroup G}, Subgroup.zpowers g ≤ H ↔ g ∈ H- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 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
- SetLike.mem_coeproof · cited by 302
- Set.singleton_subset_iffproof · cited by 206
- Subgroup.zpowersstatement · cited by 204
- Subgroup.closure_leproof · cited by 31
- Subgroup.zpowers_eq_closureproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- Subgroup.zpowers_eq_botproof · cited by 3
- Subgroup.zpowers_le_of_memproof · cited by 2
- Monoid.le_minOrder_iff_forall_subgroupproof · cited by 1
- Sylow.conj_eq_normalizer_conj_of_mem_centralizerproof · cited by 1
- ergodic_smul_of_denseRange_zpowproof · cited by 1
- MeasureTheory.smul_ae_eq_self_of_mem_zpowersproof · cited by 0