Theorems · Theorem · group theory
AddSubgroup.IsComplement.nonempty_right
∀ {G : Type u_1} [inst : AddGroup G] {S T : Set G}, AddSubgroup.IsComplement S T → T.Nonempty- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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Cites6
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
- AddGroupstatement and proof · cited by 4,410
- Set.Nonemptystatement · cited by 2,627
- AddSubgroup.IsComplementstatement and proof · cited by 57
- Set.not_nonempty_iff_eq_emptyproof · cited by 56
- AddSubgroup.not_isComplement_empty_rightproof · cited by 1
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