Theorems · Theorem · group theory
Subgroup.index_bot
∀ {G : Type u_1} [inst : Group G], ⊥.index = Nat.card G- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 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 · cited by 4,720
- Subgroupstatement · cited by 3,593
- Nat.cardstatement · cited by 844
- Subgroup.indexstatement · cited by 150
- Nat.card_congrproof · cited by 133
- MulEquiv.toEquivproof · cited by 126
- QuotientGroup.quotientBotproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.card_mul_indexproof · cited by 16
- Subgroup.relIndex_bot_leftproof · cited by 4