Theorems · Theorem · group theory
AddSubgroup.set_add_normal_comm
∀ {G : Type u_2} [inst : AddGroup G] (S : Set G) (N : AddSubgroup G) [hN : N.Normal], S + ↑N = ↑N + S- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddSubgroup.Normal
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Set.addstatement · cited by 338
- AddSubgroup.Normalstatement and proof · cited by 183
- AddSubgroup.subset_normalizer_of_normalproof · cited by 2
- AddSubgroup.set_add_normalizer_commproof · cited by 2
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