quotQuotMk — Mathlib

English

The composite map R → (R/I) → (R/I)/J' is given by mk I then mk J.

Русский

Композитная карта R → (R/I) → (R/I)/J' задаётся как mk I затем mk J.

LaTeX

$$$\\text{quotQuotMk} = \\mathrm{Ideal.Quotient.mk} (\\mathrm{Ideal.Quotient.mk} I) \\circ \\mathrm{Ideal.Quotient.mk} I$$$

Lean4

/-- The composite of the maps `R → (R/I)` and `(R/I) → (R/I)/J'` -/
def quotQuotMk : R →+* (R ⧸ I) ⧸ J.map (Ideal.Quotient.mk I) :=
  (Ideal.Quotient.mk (J.map (Ideal.Quotient.mk I))).comp (Ideal.Quotient.mk I)

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