Theorems · Theorem · commutative algebra
dvd_iff_dvd_of_dvd_sub
∀ {α : Type u_1} [inst : NonUnitalRing α] {a b c : α}, a ∣ b - c → (a ∣ b ↔ a ∣ c)- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalRingstatement and proof · cited by 422
- sub_add_cancelproof · cited by 344
- dvd_add_rightproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- emultiplicity_geom_sum₂_eq_oneproof · cited by 1
- Nat.dvd_iff_dvd_ofDigitsproof · cited by 1
- Polynomial.dvd_modByMonic_iff_dvdproof · cited by 0