Theorems · Theorem · group theory
AddSubgroup.closure_univ
∀ {G : Type u_1} [inst : AddGroup G], AddSubgroup.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
- AddGroup
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
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement · cited by 3,945
- AddSubgroupstatement · cited by 3,232
- AddSubgroup.closurestatement · cited by 156
- AddSubgroup.closure_eqproof · cited by 7
- AddSubgroup.coe_topproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- FreeAddGroup.lift_surjective_of_surjectiveproof · cited by 1