Theorems · Theorem · group theory
Subgroup.subtype_comp_inclusion
∀ {G : Type u_1} [inst : Group G] {H K : Subgroup G} (hH : H ≤ K), K.subtype.comp (Subgroup.inclusion hH) = H.subtype- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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Cites6
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 · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MonoidHom.compstatement · cited by 469
- Subgroup.subtypestatement · cited by 185
- Subgroup.inclusionstatement · cited by 21
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