Theorems · Theorem · group theory
IsAddCyclic.card_nsmul_eq_zero_le
∀ {α : Type u_1} [inst : AddGroup α] [inst_1 : DecidableEq α] [inst_2 : Fintype α] [IsAddCyclic α] {n : ℕ},
0 < n → {a | n • a = 0}.card ≤ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- AddGroupstatement and proof · cited by 4,410
- Finset.univstatement and proof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- MulZeroClass.mul_zeroproof · cited by 2,091
- Fintype.cardproof · cited by 1,386
- Finset.filterstatement and proof · cited by 949
- AddSubgroup.zmultiplesproof · cited by 493
- Set.toFinsetproof · cited by 217
- addOrderOfproof · cited by 208
- Nat.card_eq_fintype_cardproof · cited by 200
Cited by1
Results whose statement or proof uses this declaration.
- IsAddCyclic.card_addOrderOf_eq_totientproof · cited by 0