Theorems · Theorem · number theory
IsRelPrime.symm
∀ {α : Type u_1} [inst : CommMonoid α] {x y : α}, IsRelPrime x y → IsRelPrime y x- Defined in
- Mathlib.Algebra.Divisibility.Units
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- CommMonoid
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.
- CommMonoidstatement and proof · cited by 2,264
- IsRelPrimestatement and proof · cited by 136
Cited by12
Results whose statement or proof uses this declaration.
- isRelPrime_commproof · cited by 8
- IsRelPrime.add_mul_right_rightproof · cited by 2
- IsUnit.isRelPrime_rightproof · cited by 2
- IsRelPrime.neg_rightproof · cited by 2
- Polynomial.irreducible_C_mul_X_add_Cproof · cited by 2
- IsRelPrime.add_mul_left_rightproof · cited by 2
- IsRelPrime.mul_dvd_of_left_isPrimalproof · cited by 1
- IsFractionRing.associated_den_num_invproof · cited by 1
- IsRelPrime.mul_dvd_of_right_isPrimalproof · cited by 1
- IsFractionRing.num_den_uniqueproof · cited by 1
- IsRelPrime.of_dvd_rightproof · cited by 0
- IsFractionRing.isUnit_den_iffproof · cited by 0