Theorems · Theorem · group theory

MulAction.IsBlock.of_subgroup_of_conjugate

∀ {G : Type u_1} [inst : Group G] {X : Type u_2} [inst_1 : MulAction G X] {B : Set X} {H : Subgroup G},
  MulAction.IsBlock (↥H) B →
    ∀ (g : G), MulAction.IsBlock (↥(Subgroup.map (MulEquiv.toMonoidHom (MulAut.conj g)) H)) (g • B)

Defined in: Mathlib.GroupTheory.GroupAction.Blocks
Cited by: 1 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Group MulAction

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Cites21

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
Setstatement and proof · cited by 53,352
Groupstatement and proof · cited by 6,238
MonoidHomstatement · cited by 3,629
Subgroupstatement and proof · cited by 3,593
Disjointproof · cited by 2,201
MulActionstatement and proof · cited by 1,294
Set.smulSetstatement · cited by 608
smul_smulproof · cited by 360
Subgroup.mapstatement and proof · cited by 301
MulAutstatement · cited by 158
MulEquiv.toMonoidHomstatement and proof · cited by 126

Cited by1

Results whose statement or proof uses this declaration.

MulAction.IsBlock.translateproof · cited by 5