Theorems · Theorem · group theory
AddSubgroup.IsComplement.ncard_right
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {T : Set G},
AddSubgroup.IsComplement (↑H) T → T.ncard = H.index- Defined in
- Mathlib.GroupTheory.Complement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Set.ncardstatement · cited by 344
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.IsComplementstatement and proof · cited by 57
- Nat.card_coe_set_eqproof · cited by 19
- AddSubgroup.IsComplement.card_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.IsComplement.encard_rightproof · cited by 0