Theorems · Theorem · group theory
MulAut.conjNormal_apply
∀ {G : Type u_3} [inst : Group G] {H : Subgroup G} [inst_1 : H.Normal] (g : G) (h : ↥H),
↑((MulAut.conjNormal g) h) = g * ↑h * g⁻¹- Defined in
- Mathlib.GroupTheory.GroupAction.ConjAct
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement · cited by 1,142
- Subgroup.Normalstatement and proof · cited by 334
- MulAutstatement · cited by 158
- MulAut.conjNormalstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.kleinFour_eq_commutatorproof · cited by 0