unique — Mathlib

English

χ m is the unique map making the pullback square commute.

Русский

χ m единственно соответствует условиям, образуя pullback-диаграмму.

LaTeX

$$χ m is the unique map with IsPullback m (Classifier.χ₀ _ U) χ m (truth C)$$

Lean4

/-- `χ m` is the only map for which the associated square
is a pullback square.
-/
theorem unique (χ' : X ⟶ Ω C) (hχ' : IsPullback m (Classifier.χ₀ _ U) χ' (truth C)) : χ' = χ m :=
  Classifier.uniq _ m hχ'

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