Theorems · Theorem · group theory
Subgroup.zpowers_eq_bot
∀ {G : Type u_1} [inst : Group G] {g : G}, Subgroup.zpowers g = ⊥ ↔ g = 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 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
- Bot.botstatement · cited by 4,720
- Subgroupstatement · cited by 3,593
- Subgroup.zpowersstatement · cited by 204
- eq_bot_iffproof · cited by 159
- Subgroup.mem_botproof · cited by 11
- Subgroup.zpowers_leproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.zpowers_ne_botproof · cited by 2
- Subgroup.zpowers_one_eq_botproof · cited by 1
- zpowers_eq_top_of_prime_cardproof · cited by 1