Theorems · Theorem · group theory
mulintEquivOfZPowersEqTop_symm_apply_zpow
∀ {G : Type u_2} [inst : Infinite G] [inst_1 : Group G] {g : G} (hg : Subgroup.zpowers g = ⊤) (k : ℤ),
(intEquivOfZPowersEqTop g hg).symm (g ^ k) = Multiplicative.ofAdd k- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- Subgroupstatement · cited by 3,593
- MulEquivstatement · cited by 1,142
- Multiplicativestatement · cited by 875
- MulEquiv.symmstatement and proof · cited by 482
- Infinitestatement and proof · cited by 352
- Multiplicative.ofAddstatement and proof · cited by 237
- Subgroup.zpowersstatement and proof · cited by 204
Cited by1
Results whose statement or proof uses this declaration.
- Valuation.IsRankOneDiscrete.valueGroup₀_equiv_withZeroMulInt_apply_zpowproof · cited by 0