Theorems · Theorem · group theory
Subgroup.relIndex_bot_left
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), ⊥.relIndex H = Nat.card ↥H- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 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.
Cites8
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 and proof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement and proof · cited by 844
- Subgroup.indexproof · cited by 150
- Subgroup.relIndexstatement · cited by 72
- Subgroup.index_botproof · cited by 2
- Subgroup.bot_subgroupOfproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Subgroup.card_mul_indexproof · cited by 16
- Subgroup.index_kerproof · cited by 7
- Subgroup.card_eq_oneproof · cited by 4
- Subgroup.relIndex_kerproof · cited by 0