Theorems · Theorem · number theory
LucasLehmer.X.card_units_lt
∀ {q : ℕ} [inst : NeZero q], 1 < q → Fintype.card (LucasLehmer.X q)ˣ < q ^ 2There are strictly fewer than q^2 units, since 0 is not a unit.
- Defined in
- Mathlib.NumberTheory.LucasLehmer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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 and proof · cited by 2,804
- Factproof · cited by 2,726
- Fintype.cardstatement and proof · cited by 1,386
- Fintype.card_congr'proof · cited by 60
- LucasLehmer.Xstatement and proof · cited by 42
- card_units_ltproof · cited by 2
- LucasLehmer.X.card_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LucasLehmer.order_ineqproof · cited by 1