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Theorems · Theorem · commutative algebra

emultiplicity_map_eq

∀ {α : Type u_1} {β : Type u_2} [inst : Monoid α] [inst_1 : Monoid β] {F : Type u_3} [inst_2 : EquivLike F α β]
  [MulEquivClass F α β] (f : F) {a b : α}, emultiplicity (f a) (f b) = emultiplicity a b
Defined in
Mathlib.RingTheory.Multiplicity
Cited by
2 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidMonoidEquivLikeMulEquivClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

multiplicity_map_eq · cited by 1multiplicity_map_eqNumberField.Ideal.ramificationIdx_primesOverSpanEquivMonicFactorsMod_symm_apply · cited by 1Ideal.ramificationIdx_pri…DFunLike.coe · cited by 62936DFunLike.coeENat · cited by 4985ENatMonoid · cited by 3887MonoidEquivLike · cited by 165EquivLikeemultiplicity · cited by 156emultiplicityMulEquivClass · cited by 30MulEquivClassemultiplicity_map_eqCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.