Theorems · Theorem · number theory
Nat.coprime_two_left
∀ {n : ℕ}, Nat.Coprime 2 n ↔ Odd n- Defined in
- Mathlib.Data.Nat.Prime.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oddstatement and proof · cited by 364
- Nat.prime_twoproof · cited by 55
- Nat.Prime.coprime_iff_not_dvdproof · cited by 38
- Nat.not_even_iff_oddproof · cited by 34
- even_iff_two_dvdproof · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- Nat.coprime_two_rightproof · cited by 2
- ZMod.isCyclic_units_two_mul_iff_of_oddproof · cited by 1
- Odd.coprime_two_leftproof · cited by 0
- Nat.Coprime.odd_of_leftproof · cited by 0