Theorems · Theorem · group theory
Subgroup.card_le_card_group
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) [Finite G], Nat.card ↥H ≤ Nat.card G- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Subgroupstatement and proof · cited by 3,593
- Finitestatement and proof · cited by 3,029
- Nat.cardstatement · cited by 844
- Subtype.coe_injectiveproof · cited by 205
- Nat.card_le_card_of_injectiveproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.isMultiplyPretransitive_of_nontrivialproof · cited by 0