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Theorems · Theorem · group theory

isRelPrime_zero_left

∀ {α : Type u_1} [inst : CommMonoidWithZero α] {x : α}, IsRelPrime 0 x ↔ IsUnit x
Defined in
Mathlib.Algebra.GroupWithZero.Divisibility
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
CommMonoidWithZero
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Around this declaration

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

isRelPrime_zero_right · cited by 2isRelPrime_zero_rightUniqueFactorizationMonoid.primeFactors_mul_eq_disjUnion · cited by 1UniqueFactorizationMonoid…IsUnit · cited by 1602IsUnitCommMonoidWithZero · cited by 913CommMonoidWithZeroIsRelPrime · cited by 136IsRelPrimedvd_rfl · cited by 80dvd_rfldvd_zero · cited by 63dvd_zeroIsUnit.isRelPrime_right · cited by 2IsUnit.isRelPrime_rightisRelPrime_zero_leftCITED BYCITES

Cites6

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Cited by2

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