Theorems · Theorem · number theory
ZMod.card_units
∀ (p : ℕ) [inst : Fact (Nat.Prime p)], Fintype.card (ZMod p)ˣ = p - 1
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Fintype.cardstatement · cited by 1,386
- ZModstatement and proof · cited by 1,024
- ZMod.cardproof · cited by 36
- Fintype.card_unitsproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.isCyclic_units_of_prime_powproof · cited by 2
- ZMod.units_pow_card_sub_one_eq_oneproof · cited by 1