Theorems · Theorem · group theory
Subgroup.zpowers_inv
∀ {G : Type u_1} [inst : Group G] {g : G}, Subgroup.zpowers g⁻¹ = Subgroup.zpowers g- Cited by
- 11 results in Mathlib
- Foundations
- Depth 75 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.
Cites4
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
- Subgroup.zpowersstatement · cited by 204
- eq_of_forall_ge_iffproof · cited by 96
Cited by12
Results whose statement or proof uses this declaration.
- Rep.FiniteCyclicGroup.coinvariantsTensorResolutionIsostatement · cited by 2
- LinearOrderedCommGroup.Subgroup.exists_generator_lt_oneproof · cited by 2
- ergodic_smul_of_denseRange_zpowproof · cited by 1
- Subgroup.zpowers_eq_zpowers_iffproof · cited by 1
- Subgroup.closure_toSubmonoid_of_isOfFinOrderproof · cited by 1
- zpowers_mabsproof · cited by 0
- Subgroup.le_zpowers_iffproof · cited by 0
- Rep.FiniteCyclicGroup.coinvariantsTensorResolutionIso_hom_f_hom_applystatement · cited by 0
- Rep.FiniteCyclicGroup.coinvariantsTensorResolutionIso_inv_f_hom_applystatement · cited by 0
- Valuation.IsRankOneDiscrete.valueGroup₀_equiv_withZeroMulInt_apply_zpowproof · cited by 0
- Valuation.IsRankOneDiscrete.valueGroup₀_equiv_withZeroMulInt_strictMonoproof · cited by 0