Theorems · Theorem · commutative algebra
multiplicity_eq_of_associated_left
∀ {α : Type u_1} [inst : CommMonoid α] {a b c : α}, Associated a b → multiplicity b c = 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
- CommMonoid
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- Associatedstatement and proof · cited by 296
- multiplicitystatement · cited by 117
- multiplicity_eq_of_emultiplicity_eqproof · cited by 8
- emultiplicity_eq_of_associated_leftproof · cited by 2
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