Theorems · Theorem · group theory
AddSubgroup.card_map_dvd
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (H : AddSubgroup G) (f : G →+ G'),
Nat.card ↥(AddSubgroup.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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- Nat.cardstatement · cited by 844
- AddSubgroup.mapstatement · cited by 189
- AddMonoidHom.addSubgroupMapproof · cited by 5
- AddSubgroup.card_dvd_of_surjectiveproof · cited by 3
- AddMonoidHom.addSubgroupMap_surjectiveproof · cited by 2
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