Theorems · Theorem · group theory
Subgroup.conj_smul_subgroupOf
∀ {G : Type u_2} [inst : Group G] {P H : Subgroup G},
P ≤ H → ∀ (h : ↥H), MulAut.conj h • P.subgroupOf H = (MulAut.conj ↑h • P).subgroupOf H- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- le_antisymmproof · cited by 2,068
- Subgroup.subtypeproof · cited by 185
- MulAutstatement and proof · cited by 158
- Subgroup.subgroupOfstatement and proof · cited by 122
- Subgroup.pointwiseMulActionstatement · cited by 66
- MulAut.conjstatement and proof · cited by 64
- MulDistribMulAction.toMonoidEndproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Sylow.smul_subtypeproof · cited by 1