Theorems · Theorem · group theory
AddSubgroup.index_map_dvd
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (H : AddSubgroup G) {f : G →+ G'},
Function.Surjective ⇑f → (AddSubgroup.map f H).index ∣ H.index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- mul_oneproof · cited by 3,885
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- le_sup_leftproof · cited by 265
- AddSubgroup.mapstatement · cited by 189
- AddMonoidHom.kerproof · cited by 158
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.index_topproof · cited by 9
- AddMonoidHom.range_eq_top_of_surjectiveproof · cited by 5
- AddSubgroup.index_dvd_of_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.index_map_eqproof · cited by 1