Theorems · Theorem · commutative algebra
dvd_sub
∀ {α : Type u_1} [inst : NonUnitalRing α] {a b c : α}, a ∣ b → a ∣ c → a ∣ b - c- Defined in
- Mathlib.Algebra.Ring.Divisibility.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 19 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
- Dvd.dvd.neg_rightproof · cited by 5
- Dvd.dvd.addproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- minpoly.isIntegrallyClosed_dvdproof · cited by 9
- dvd_add_leftproof · cited by 7
- divRadical_dvd_wronskian_leftproof · cited by 2
- PythagoreanTriple.coprime_of_coprimeproof · cited by 2
- Polynomial.content_mul_auxproof · cited by 1
- Polynomial.dvd_cancelLeads_of_dvd_of_dvdproof · cited by 1
- Pell.xn_modEq_x2n_sub_lemproof · cited by 1
- Dvd.dvd.subproof · cited by 0