Theorems · Theorem · group theory
dvd_of_mul_right_dvd
∀ {α : Type u_1} [inst : Semigroup α] {a b c : α}, a * b ∣ c → a ∣ c- Defined in
- Mathlib.Algebra.Divisibility.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Semigroup
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.
- Semigroupstatement and proof · cited by 202
- Dvd.dvd.transproof · cited by 148
- dvd_mul_rightproof · cited by 89
Cited by5
Results whose statement or proof uses this declaration.
- Irreducible.exists_dvd_monic_irreducible_of_isIntegralproof · cited by 2
- Nat.coprime_of_probablePrimeproof · cited by 1
- Nat.minFacAux_has_propproof · cited by 1
- IsPrimal.mulproof · cited by 0
- ZMod.isSquare_neg_one_iff'proof · cited by 0