Theorems · Theorem · number theory
isRelPrime_comm
∀ {α : Type u_1} [inst : CommMonoid α] {x y : α}, IsRelPrime x y ↔ IsRelPrime y x- Defined in
- Mathlib.Algebra.Divisibility.Units
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 136
- IsRelPrime.symmproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- IsRelPrime.of_add_mul_left_rightproof · cited by 3
- isRelPrime_zero_rightproof · cited by 2
- IsRelPrime.of_mul_right_leftproof · cited by 2
- isRelPrime_mul_unit_left_rightproof · cited by 2
- IsRelPrime.pow_right_iffproof · cited by 1
- IsRelPrime.sub_one_right_of_dvdproof · cited by 1
- IsRelPrime.mul_rightproof · cited by 1
- IsRelPrime.add_one_right_of_dvdproof · cited by 0