Theorems · Theorem · group theory
Subgroup.card_map_dvd
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (H : Subgroup G) (f : G →* G'),
Nat.card ↥(Subgroup.map f H) ∣ Nat.card ↥H- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement · cited by 844
- Subgroup.mapstatement · cited by 301
- MonoidHom.subgroupMapproof · cited by 8
- MonoidHom.subgroupMap_surjectiveproof · cited by 5
- Subgroup.card_dvd_of_surjectiveproof · cited by 3
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