Theorems · Theorem · group theory
IsCyclic.of_exponent_eq_card
∀ {α : Type u_1} [inst : CommGroup α] [Finite α], Monoid.exponent α = Nat.card α → IsCyclic α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- CommGroupstatement and proof · cited by 990
- Finset.imageproof · cited by 910
- Nat.cardstatement and proof · cited by 844
- orderOfproof · cited by 324
- nonempty_fintypeproof · cited by 261
- Monoid.exponentstatement and proof · cited by 128
- IsCyclicstatement and proof · cited by 122
- Finset.mem_imageproof · cited by 105
- Finset.max'proof · cited by 81
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclic.iff_exponent_eq_cardproof · cited by 6