Theorems · Theorem · commutative algebra
Nat.isCoprime_iff_coprime
∀ {m n : ℕ}, IsCoprime ↑m ↑n ↔ m.Coprime n- Defined in
- Mathlib.RingTheory.Coprime.Lemmas
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 52 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
- Int.isCoprime_iff_gcd_eq_oneproof · cited by 16
Cited by6
Results whose statement or proof uses this declaration.
- Nat.Coprime.isCoprimeproof · cited by 6
- Nat.ModEq.pow_card_sub_one_eq_oneproof · cited by 1
- ZMod.eq_unit_mul_divisorproof · cited by 1
- IsCoprime.natCoprimeproof · cited by 0
- DirichletCharacter.mem_subgroupOfPrimitiveMapToOne_iffproof · cited by 0
- IsPrimitiveRoot.argproof · cited by 0