Theorems · Theorem · commutative algebra
emultiplicity_eq_of_associated_right
∀ {α : Type u_1} [inst : Monoid α] {a b c : α}, Associated b c → emultiplicity a b = emultiplicity a c- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement · cited by 4,985
- Monoidstatement and proof · cited by 3,887
- le_antisymmproof · cited by 2,068
- Associatedstatement and proof · cited by 296
- emultiplicitystatement · cited by 156
- Associated.symmproof · cited by 87
- Associated.dvdproof · cited by 38
- emultiplicity_le_emultiplicity_of_dvd_rightproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IsDiscreteValuationRing.addVal_defproof · cited by 3
- multiplicity_eq_of_associated_rightproof · cited by 0