Theorems · Theorem · group theory
Subgroup.relIndex_ker
∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (K : Subgroup G) (f : G →* G'),
f.ker.relIndex K = Nat.card ↥(Subgroup.map f K)- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Bot.botproof · cited by 4,720
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- Nat.cardstatement and proof · cited by 844
- Subgroup.mapstatement and proof · cited by 301
- MonoidHom.kerstatement · cited by 212
- Subgroup.relIndexstatement and proof · cited by 72
- Subgroup.relIndex_comapproof · cited by 7
- MonoidHom.comap_botproof · cited by 6
- Subgroup.relIndex_bot_leftproof · cited by 4
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