Theorems · Theorem · group theory
Subgroup.isComplement_singleton_univ
∀ {G : Type u_1} [inst : Group G] {g : G}, Subgroup.IsComplement {g} Set.univ- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- 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.
- Setstatement · cited by 53,352
- Set.Elemproof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Set.univstatement and proof · cited by 3,945
- Subgroup.IsComplementstatement · cited by 94
- mul_inv_cancel_leftproof · cited by 86
- mul_left_cancelproof · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.isComplement'_bot_topproof · cited by 2
- Subgroup.isComplement_singleton_leftproof · cited by 1
- Subgroup.isComplement_univ_rightproof · cited by 1