Theorems · Theorem · group theory
dvd_mul_right
∀ {α : Type u_1} [inst : Semigroup α] (a b : α), a ∣ a * b- Defined in
- Mathlib.Algebra.Divisibility.Basic
- Cited by
- 89 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Semigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by89
Results whose statement or proof uses this declaration.
- dvd_mul_of_dvd_leftproof · cited by 25
- Finset.dvd_prod_of_memproof · cited by 23
- Polynomial.modByMonic_eq_zero_iff_dvdproof · cited by 15
- PNat.dvd_iffproof · cited by 13
- EuclideanDomain.mod_eq_zeroproof · cited by 5
- dvd_of_mul_right_dvdproof · cited by 5
- Units.dvd_mul_rightproof · cited by 5
- gcd_mul_left'proof · cited by 4
- FiniteMultiplicity.mul_leftproof · cited by 4
- AddAction.zsmul_mod_period_vaddproof · cited by 3
- Nat.prime_defproof · cited by 3
- Prime.left_dvd_or_dvd_right_of_dvd_mulproof · cited by 3