cone — Mathlib

English

Analogous statement for the right injection: the inverse of pushoutObjIso composed with inr gives the inr on components.

Русский

Аналогично для inr: inv ∘ pushoutObjIso даёт inr на компонентах.

LaTeX

$$$ pushout.inr (f.app\\, d) (g.app\\, d) \\;\\circ\\; (pushoutObjIso\\, f\\, g\\, d).inv = (pushout.inr f g).app d $$$

Lean4

/-- An arbitrary choice of limit cone for a functor. -/
def cone (F : J ⥤ C) [HasLimit F] : Cone F :=
  (getLimitCone F).cone

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