Theorems · Theorem · group theory
AddSubgroup.IsComplement.encard_right
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {T : Set G} [H.FiniteIndex],
AddSubgroup.IsComplement (↑H) T → T.encard = ↑H.index- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- ENatstatement and proof · cited by 4,985
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Set.encardstatement · cited by 327
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.FiniteIndexstatement and proof · cited by 66
- AddSubgroup.IsComplementstatement and proof · cited by 57
- Set.Finite.cast_ncard_eqproof · cited by 28
- AddSubgroup.IsComplement.finite_rightproof · cited by 1
- AddSubgroup.IsComplement.ncard_rightproof · cited by 1
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