Theorems · Theorem · group theory
Subgroup.card_subtype
∀ {G : Type u_1} [inst : Group G] (K : Subgroup G) (L : Subgroup ↥K), Nat.card ↥(Subgroup.map K.subtype L) = Nat.card ↥L- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement · cited by 844
- Subgroup.mapstatement · cited by 301
- Subgroup.subtypestatement · cited by 185
- Subgroup.subtype_injectiveproof · cited by 18
- Subgroup.card_map_of_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.nat_card_centralizerproof · cited by 2