Theorems · Theorem · commutative algebra
multiplicity_eq_of_associated_right
∀ {α : Type u_1} [inst : Monoid α] {a b c : α}, Associated b c → multiplicity a b = multiplicity a c- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
- 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
- Associatedstatement and proof · cited by 296
- multiplicitystatement · cited by 117
- multiplicity_eq_of_emultiplicity_eqproof · cited by 8
- emultiplicity_eq_of_associated_rightproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.