Theorems · Theorem · group theory
zpowersHom_bijective
∀ {G : Type u_2} [Infinite G] [inst : Group G] {g : G}, Subgroup.zpowers g = ⊤ → Function.Bijective ⇑((zpowersHom G) g)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Bot.botproof · cited by 4,720
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Multiplicativestatement · cited by 875
- Function.Bijectivestatement · cited by 863
- Infinitestatement and proof · cited by 352
- Set.Infiniteproof · cited by 263
Cited by3
Results whose statement or proof uses this declaration.
- intEquivOfZPowersEqTopproof · cited by 11
- mulintEquivOfZPowersEqTop_strictMonoproof · cited by 1
- mulintEquivOfZPowersEqTop_strictAntiproof · cited by 0