Theorems · Theorem · group theory
dvdNotUnit_of_dvdNotUnit_associated
∀ {M : Type u_1} [inst : CommMonoidWithZero M] {p q r : M}, DvdNotUnit p q → Associated q r → DvdNotUnit p r- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- IsUnitproof · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- Associatedstatement and proof · cited by 296
- DvdNotUnitstatement and proof · cited by 33
- isUnit_of_mul_isUnit_leftproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Associated.dvdNotUnit_rightproof · cited by 1