Theorems · Theorem · group theory
MulAction.stabilizer_mul_self
∀ {G : Type u_1} [inst : Group G] (s : Set G), ↑(MulAction.stabilizer G s) * s = s- Defined in
- Mathlib.Algebra.Pointwise.Stabilizer
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 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.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- one_mulproof · cited by 2,841
- Set.extproof · cited by 2,266
- Set.mulstatement · cited by 297
- MulAction.stabilizerstatement and proof · cited by 254
- Set.mulActionSetstatement · cited by 95
- Set.smul_mem_smul_setproof · cited by 39
- Subgroup.one_memproof · cited by 31
- MulAction.mem_stabilizer_iffproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- Finset.doubling_lt_golden_ratioproof · cited by 0
- MulAction.stabilizer_image_coe_quotientproof · cited by 0
- MulAction.mul_stabilizer_selfproof · cited by 0