Theorems · Theorem · group theory
Subgroup.disjoint_map
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {f : G →* N},
Function.Injective ⇑f → ∀ {H K : Subgroup G}, Disjoint H K → Disjoint (Subgroup.map f H) (Subgroup.map f K)- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- 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
- Disjointstatement and proof · cited by 2,201
- Subgroup.mapstatement and proof · cited by 301
- disjoint_iffproof · cited by 76
- Subgroup.map_botproof · cited by 10
- Subgroup.map_infproof · cited by 1
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