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Theorems · Theorem · number theory

IsRelPrime.of_mul_left_left

∀ {α : Type u_1} [inst : CommMonoid α] {x y z : α}, IsRelPrime (x * y) z → IsRelPrime x z
Defined in
Mathlib.Algebra.Divisibility.Units
Cited by
4 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
CommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsRelPrime.of_mul_left_right · cited by 3IsRelPrime.of_mul_left_ri…IsRelPrime.of_mul_right_left · cited by 2IsRelPrime.of_mul_right_l…IsRelPrime.mul_left_iff · cited by 1IsRelPrime.mul_left_iffIsRelPrime.of_dvd_left · cited by 1IsRelPrime.of_dvd_leftCommMonoid · cited by 2264CommMonoidIsRelPrime · cited by 136IsRelPrimedvd_mul_of_dvd_left · cited by 25dvd_mul_of_dvd_leftIsRelPrime.of_mul_left_leftCITED BYCITES

Cites3

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Cited by4

Results whose statement or proof uses this declaration.