Theorems · Theorem · group theory
IsAddKleinFour.eq_finset_univ
∀ {G : Type u_1} [inst : AddGroup G] [IsAddKleinFour G] [inst_2 : Fintype G] [inst_3 : DecidableEq G] {x y : G},
x ≠ 0 → y ≠ 0 → x ≠ y → {x + y, x, y, 0} = Finset.univ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- AddGroupstatement and proof · cited by 4,410
- Finset.univstatement · cited by 3,473
- Finset.cardproof · cited by 2,327
- Set.mem_singleton_iffproof · cited by 172
- Finset.card_singletonproof · cited by 144
- Finset.mem_singletonproof · cited by 103
- Finset.card_insert_of_notMemproof · cited by 45
- Finset.mem_insertproof · cited by 44
- Set.mem_insert_iffproof · cited by 39
- add_eq_leftproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- IsAddKleinFour.eq_add_of_ne_allproof · cited by 0