Theorems · Theorem · commutative algebra
Nat.Coprime.isCoprime
∀ {m n : ℕ}, m.Coprime n → IsCoprime ↑m ↑nAlias of the reverse direction of Nat.isCoprime_iff_coprime.
- Defined in
- Mathlib.RingTheory.Coprime.Lemmas
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsCoprimestatement · cited by 321
- Nat.isCoprime_iff_coprimeproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- Complex.isPrimitiveRoot_exp_of_coprimeproof · cited by 2
- Nat.Coprime.castproof · cited by 2
- Rat.AbsoluteValue.eq_one_of_not_dvdproof · cited by 1
- ZMod.isSquare_neg_one_of_eq_sq_add_sq_of_coprimeproof · cited by 1
- isUnit_iff_not_dvd_char_of_ringChar_ne_zeroproof · cited by 1
- ne_zero_or_ne_zero_of_nat_coprimeproof · cited by 0