Mathlib Map

Theorems · Theorem · group theory

isRelPrime_zero_right

∀ {α : Type u_1} [inst : CommMonoidWithZero α] {x : α}, IsRelPrime x 0 ↔ IsUnit x
Defined in
Mathlib.Algebra.GroupWithZero.Divisibility
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
Assumes
CommMonoidWithZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

not_isRelPrime_zero_zero · cited by 1not_isRelPrime_zero_zeroUniqueFactorizationMonoid.primeFactors_mul_eq_disjUnion · cited by 1UniqueFactorizationMonoid…IsUnit · cited by 1602IsUnitCommMonoidWithZero · cited by 913CommMonoidWithZeroIsRelPrime · cited by 136IsRelPrimeisRelPrime_comm · cited by 8isRelPrime_commisRelPrime_zero_left · cited by 2isRelPrime_zero_leftisRelPrime_zero_rightCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.