Theorems · Theorem · group theory
Subgroup.card_bot
∀ {G : Type u_1} [inst : Group G], Nat.card ↥⊥ = 1- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 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.
Cites6
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
- Nat.cardstatement and proof · cited by 844
- Nat.card_eq_fintype_cardproof · cited by 200
- Fintype.card_uniqueproof · cited by 59
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.eq_bot_iff_cardproof · cited by 3
- Sylow.exists_subgroup_card_pow_primeproof · cited by 2
- Sylow.ne_bot_of_dvd_cardproof · cited by 1