Theorems · Theorem · group theory
Subgroup.closure_univ
∀ {G : Type u_1} [inst : Group G], Subgroup.closure Set.univ = ⊤- Defined in
- Mathlib.Algebra.Group.Subgroup.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, 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.topstatement and proof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Set.univstatement · cited by 3,945
- Subgroupstatement · cited by 3,593
- Subgroup.closurestatement · cited by 196
- Subgroup.closure_eqproof · cited by 9
- Subgroup.coe_topproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- FreeGroup.lift_surjective_of_surjectiveproof · cited by 1