inr_strictMono — Mathlib

English

The embedding inr: N →₀o M × N is order-preserving under suitable assumptions on M,N in a structured ordered setting.

Русский

Встраивание inr: N → M×N монотонно в подходящих условиях упорядочения.

LaTeX

$$$\text{inr}: N \to M \times N$ монотонно.$$

Lean4

theorem inr_strictMono [GroupWithZero M₀] [PartialOrder M₀] [LinearOrderedCommGroupWithZero N₀]
    [DecidablePred fun x : N₀ ↦ x = 0] : StrictMono (inr M₀ N₀) :=
  inr_mono.strictMono_of_injective inr_injective

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