Theorems · Theorem · group theory
Subgroup.IsComplement.finite_right
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G} {T : Set G} [H.FiniteIndex], Subgroup.IsComplement (↑H) T → T.Finite- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.FiniteIndex
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Set.Finitestatement · cited by 1,814
- Subgroup.FiniteIndexstatement and proof · cited by 113
- Subgroup.IsComplementstatement and proof · cited by 94
- Subgroup.IsComplement.finite_right_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.IsComplement.encard_rightproof · cited by 0