Theorems · Theorem · group theory
isUnit_of_associated_mul
∀ {M : Type u_1} [inst : CommMonoidWithZero M] [IsCancelMulZero M] {p b : M}, Associated (p * b) p → p ≠ 0 → IsUnit b- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- IsUnitstatement · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- Associatedstatement and proof · cited by 296
- IsCancelMulZerostatement and proof · cited by 177
- mul_right_inj'proof · cited by 56
- IsUnit.of_mul_eq_oneproof · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.isPrimitive_primPartproof · cited by 4
- Associates.isAtom_iffproof · cited by 2
- fermatLastTheoremWith_of_fermatLastTheoremWith_coprimeproof · cited by 0