emultiplicity_eq_of_associated_right

English

If b and c are associated, emultiplicity a b = emultiplicity a c.

Русский

Если b и c ассоциированы, эмплиплотность a b равна эмплиплотности a c.

LaTeX

$$$ \operatorname{emultiplicity}(a,b) = \operatorname{emultiplicity}(a,c) $$$

Lean4

theorem emultiplicity_eq_of_associated_right {a b c : α} (h : Associated b c) : emultiplicity a b = emultiplicity a c :=
  le_antisymm (emultiplicity_le_emultiplicity_of_dvd_right h.dvd)
    (emultiplicity_le_emultiplicity_of_dvd_right h.symm.dvd)

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