Theorems · Theorem · group theory
Subgroup.div_mem
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) {x y : G}, x ∈ H → y ∈ H → x / y ∈ HA subgroup is closed under division.
- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- Group
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Cites3
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Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.cyclic_of_minproof · cited by 2