Theorems · Theorem · group theory
MulAction.IsBlock.subsingleton_of_ssubset_of_stabilizer_le
∀ {M : Type u_1} {α : Type u_2} [inst : Group M] [inst_1 : MulAction M α] {s B : Set α},
B ⊂ s → MulAction.IsBlock M B → Function.Surjective MulAction.toPerm → B.Subsingleton- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.preimageproof · cited by 4,946
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement · cited by 1,375
- MulActionstatement and proof · cited by 1,294
- Set.Subsingletonstatement and proof · cited by 276
- MulAction.stabilizerstatement and proof · cited by 254
- Subtype.range_coe_subtypeproof · cited by 170
- MulActionHomproof · cited by 124
- Set.mulActionSetstatement · cited by 95
Cited by2
Results whose statement or proof uses this declaration.
- MulAction.IsBlock.subsingleton_of_ssubset_of_stabilizer_Perm_leproof · cited by 1