Theorems · Theorem · group theory
isAddCyclic_of_addOrderOf_eq_card
∀ {α : Type u_1} [inst : AddGroup α] [Finite α] (x : α), addOrderOf x = Nat.card α → IsAddCyclic α- Cited by
- 3 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Finitestatement and proof · cited by 3,029
- Nat.cardstatement and proof · cited by 844
- addOrderOfstatement and proof · cited by 208
- IsAddCyclicstatement · cited by 55
- isAddCyclic_iff_exists_addOrderOf_eq_natCardproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsAddCyclic.of_exponent_eq_cardproof · cited by 1
- isAddCyclic_of_card_nsmul_eq_zero_leproof · cited by 0
- not_isAddCyclic_iff_exponent_eq_primeproof · cited by 0