Theorems · Theorem · number theory
Nat.totient_lt
∀ (n : ℕ), 1 < n → n.totient < n
- Defined in
- Mathlib.Data.Nat.Totient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- LT.lt.ne'proof · cited by 1,417
- Nat.totientstatement · cited by 111
- Finset.card_rangeproof · cited by 108
- LT.lt.trans_eqproof · cited by 65
- pos_of_gtproof · cited by 24
- Finset.card_lt_cardproof · cited by 23
- Finset.filter_ssubsetproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.card_units_zmod_lt_sub_oneproof · cited by 1