arrowι_def — Mathlib

English

The definition arrowι F hi k hk is equal to Arrow.mk (colimit.ι F ⟨k, hk⟩) after equipping hasColimitsOfShape_of_isSuccLimit.

Русский

Определение arrowι F hi k hk равно Arrow.mk (colimit.ι F ⟨k, hk⟩) после введения hasColimitsOfShape_of_isSuccLimit.

LaTeX

$$$ arrow\\iota F hi k hk = Arrow.mk (colimit.\\i F ⟨k, hk⟩) $$$

Lean4

theorem arrowι_def :
    letI := hasColimitsOfShape_of_isSuccLimit C i hi
    arrowι F hi k hk = Arrow.mk (colimit.ι F ⟨k, hk⟩) :=
  rfl

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