Theorems · Theorem · group theory
Subgroup.Normal.conjAct
∀ {G : Type u_2} [inst : Group G] {H : Subgroup G}, H.Normal → ∀ (g : ConjAct G), g • H = H- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- LE.le.antisymmproof · cited by 507
- Subgroup.Normalstatement and proof · cited by 334
- Eq.trans_leproof · cited by 155
- ConjActstatement and proof · cited by 79
- Subgroup.pointwiseMulActionstatement · cited by 66
- smul_inv_smulproof · cited by 53
- Subgroup.Normal.conj_memproof · cited by 23
- ConjAct.ofConjActproof · cited by 17
- Subgroup.map_le_iff_le_comapproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- CongruenceSubgroup.Gamma_cong_eq_selfproof · cited by 1
- Subgroup.Normal.conj_smul_eq_selfproof · cited by 0