Theorems · Theorem · number theory
Nat.card_units_zmod_lt_sub_one
∀ {p : ℕ}, 1 < p → ∀ [inst : Fintype (ZMod p)ˣ], Fintype.card (ZMod p)ˣ ≤ p - 1- Defined in
- Mathlib.Data.Nat.Totient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Unitsstatement and proof · cited by 2,804
- LT.lt.ne'proof · cited by 1,417
- Fintype.cardstatement · cited by 1,386
- ZModstatement and proof · cited by 1,024
- pos_of_gtproof · cited by 24
- ZMod.card_units_eq_totientproof · cited by 15
- Nat.totient_ltproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- lucas_primalityproof · cited by 2