Theorems · Theorem · commutative algebra
IsCoprime.sub_one_right_of_dvd
∀ {R : Type u} [inst : CommRing R] {x y : R}, x ∣ y → IsCoprime x (y - 1)- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- IsCoprimestatement · cited by 321
- isCoprime_commproof · cited by 17
- IsCoprime.sub_one_left_of_dvdproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsCoprime.add_one_sub_one_of_two_dvdproof · cited by 0