Theorems · Theorem · group theory
AddSubgroup.Normal.map_addConj_eq
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G) [H.Normal] (g : G), AddSubgroup.map (↑(AddAut.addConj g)) H = H- Defined in
- Mathlib.Algebra.Group.Subgroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHomClass.toAddMonoidHomstatement · cited by 232
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.Normalstatement and proof · cited by 183
- AddAutstatement · cited by 75
- AddAut.addConjstatement · cited by 34
- AddSubgroup.normal_iff_map_addConj_eqproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.normalCore_eq_iInf_map_addConjproof · cited by 1