nonUnitalSeminormedCommRing — Mathlib

English

The canonical absolute value norm on ℤ gives a NormOneClass structure.

Русский

Каноническая норма по абсолютному значению на ℤ задаёт NormOneClass.

LaTeX

$$$ \\text{NormOneClass}(\\mathbb{Z})$ with $\\|m\\| = |m|$.$$

Lean4

/-- Non-unital seminormed commutative ring structure on the product of finitely many non-unital
seminormed commutative rings, using the sup norm. -/
instance nonUnitalSeminormedCommRing {R : ι → Type*} [Fintype ι] [∀ i, NonUnitalSeminormedCommRing (R i)] :
    NonUnitalSeminormedCommRing (∀ i, R i) :=
  { Pi.nonUnitalSeminormedRing, Pi.nonUnitalCommRing with }

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