Theorems · Theorem · group theory
Set.smul_set_compl
∀ {α : Type u_2} {β : Type u_3} [inst : Group α] [inst_1 : MulAction α β] {s : Set β} {a : α}, a • sᶜ = (a • s)ᶜ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Groupstatement and proof · cited by 6,238
- Set.univproof · cited by 3,945
- Compl.complstatement · cited by 2,925
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- Set.compl_eq_univ_sdiffproof · cited by 43
- Set.smul_set_univproof · cited by 10
- Set.smul_set_sdiffproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- stabilizer_complproof · cited by 7
- MulAction.IsPreprimitive.is_two_motive_of_is_motiveproof · cited by 2
- MulAction.movedBy_mem_fixedBy_of_commuteproof · cited by 2
- SubMulAction.IsPreprimitive.isPreprimitive_ofFixingSubgroup_interproof · cited by 1