Theorems · Theorem · commutative algebra
IsRelPrime.sub_one_left_of_dvd
∀ {R : Type u_1} [inst : CommRing R] {x y : R}, y ∣ x → IsRelPrime (x - 1) y- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- neg_subproof · cited by 272
- IsRelPrimestatement and proof · cited by 136
- sub_eq_neg_addproof · cited by 51
- Dvd.dvd.neg_rightproof · cited by 5
- IsRelPrime.neg_left_iffproof · cited by 4
- IsRelPrime.add_one_left_of_dvdproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsRelPrime.sub_one_right_of_dvdproof · cited by 1