Theorems · Theorem · group theory
Subgroup.subsingleton_iff
∀ {G : Type u_1} [inst : Group G], Subsingleton (Subgroup G) ↔ Subsingleton G- Defined in
- Mathlib.Algebra.Group.Subgroup.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Bot.botproof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- Subgroup.extproof · cited by 108
- Subgroup.mem_topproof · cited by 20
- Subgroup.mem_botproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Group.nilpotencyClass_zero_iff_subsingletonproof · cited by 2
- Subgroup.nontrivial_iffproof · cited by 0