Theorems · Theorem · group theory
AddSubgroup.coe_top
∀ {G : Type u_1} [inst : AddGroup G], ↑⊤ = Set.univ- Defined in
- Mathlib.Algebra.Group.Subgroup.Lattice
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topstatement · cited by 9,680
- SetLike.coestatement · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement · cited by 3,945
- AddSubgroupstatement · cited by 3,232
Cited by7
Results whose statement or proof uses this declaration.
- AddMonoidHom.range_eq_topproof · cited by 20
- AddSubgroup.center_eq_iInfproof · cited by 1
- AddSubgroup.addCommutator_top_right_eq_bot_iff_le_centerproof · cited by 1
- AddGroup.fg_of_descentproof · cited by 1
- AddSubgroup.closure_univproof · cited by 1
- AddMonoidHom.surjective_of_card_ker_le_divproof · cited by 0
- addCommutator_centralizer_addCommutator_le_centerproof · cited by 0