instTransIncompRelLeAntisymmRel — Mathlib

English

There is a transitive connection among IncompRel, AntisymmRel, and IncompRel: IncompRel ≤ AntisymmRel ≤ IncompRel.

Русский

Существует транситивная связь между IncompRel, AntisymmRel и IncompRel: IncompRel → AntisymmRel → IncompRel.

LaTeX

$${α} → IsTrans (IncompRel(≤)) (AntisymmRel(≤)) (IncompRel(≤))$$

Lean4

instance : @Trans α α α (IncompRel (· ≤ ·)) (AntisymmRel (· ≤ ·)) (IncompRel (· ≤ ·)) where
  trans := incompRel_of_incompRel_of_antisymmRel

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