Theorems · Theorem · group theory
AddSubgroup.unop_eq_top
∀ {G : Type u_2} [inst : AddGroup G] {S : AddSubgroup Gᵃᵒᵖ}, S.unop = ⊤ ↔ S = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, 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 · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddOppositestatement and proof · cited by 452
- AddSubgroup.unopstatement · cited by 30
- AddSubgroup.unop_injectiveproof · cited by 2
- AddSubgroup.unop_topproof · cited by 1
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