Theorems · Theorem · group theory
MulAut.conjNormal_symm_apply
∀ {G : Type u_3} [inst : Group G] {H : Subgroup G} [inst_1 : H.Normal] (g : G) (h : ↥H),
↑((MulEquiv.symm (MulAut.conjNormal g)) h) = g⁻¹ * ↑h * g- Defined in
- Mathlib.GroupTheory.GroupAction.ConjAct
- Cited by
- 2 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- inv_invproof · cited by 494
- MulEquiv.symmstatement · cited by 482
- Subgroup.Normalstatement and proof · cited by 334
- MulAutstatement · cited by 158
- MulEquiv.toMonoidHomproof · cited by 126
- ConjAct.toConjActproof · cited by 56
- ConjAct.ofConjActproof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- MulAut.conjNormal_inv_applyproof · cited by 0