Theorems · Theorem · number theory
IsUnit.dvd_mul_right
∀ {α : Type u_1} [inst : Monoid α] {a b u : α}, IsUnit u → (a ∣ b * u ↔ a ∣ b)- Defined in
- Mathlib.Algebra.Divisibility.Units
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- Units.dvd_mul_rightproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.map_primeproof · cited by 1
- dvd_coeff_zero_of_aeval_eq_prime_smul_of_minpoly_isEisensteinAtproof · cited by 1
- PadicInt.norm_sub_modPartproof · cited by 1
- Polynomial.irreducible_iff_lt_natDegree_ltproof · cited by 0