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Theorems · Theorem · group theory

AddSubgroup.IsComplement.finite_right

∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {T : Set G} [H.FiniteIndex],
  AddSubgroup.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
AddGroupAddSubgroup.FiniteIndex
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubgroup.IsComplement.encard_right · cited by 0IsComplement.encard_rightSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupSet.Finite · cited by 1814Set.FiniteAddSubgroup.FiniteIndex · cited by 66AddSubgroup.FiniteIndexAddSubgroup.IsComplement · cited by 57AddSubgroup.IsComplementAddSubgroup.IsComplement.finite_right_iff · cited by 1IsComplement.finite_right…IsComplement.finite_rightCITED BYCITES

Cites8

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Cited by1

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