Theorems · Theorem · commutative algebra
IsCoprime.abs_left
∀ {R : Type u} [inst : CommRing R] [inst_1 : LinearOrder R] [AddLeftMono R] {x y : R}, IsCoprime x y → IsCoprime |x| y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- LinearOrderstatement and proof · cited by 8,572
- absstatement · cited by 1,814
- AddLeftMonostatement and proof · cited by 687
- IsCoprimestatement and proof · cited by 321
- IsCoprime.abs_left_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsCoprime.abs_absproof · cited by 0