mapBifunctorBifunctor₂₃Desc — Mathlib

English

congruence for mapBifunctor₂₃Desc with extensionality lemma congr_simp.

Русский

соответствие для mapBifunctor₂₃Desc с леммой extensionality congr_simp.

LaTeX

$$$$congr_simp\;: (f,g) \to (mapBifunctor₂₃Desc f) = (mapBifunctor₂₃Desc g)$$$$

Lean4

/-- Constructor for morphisms from
`mapBifunctorMapObj F ρ₂₃.q X₁ (mapBifunctorMapObj G₂₃ ρ₂₃.p X₂ X₃) j`. -/
noncomputable def mapBifunctorBifunctor₂₃Desc :
    mapBifunctorMapObj F ρ₂₃.q X₁ (mapBifunctorMapObj G₂₃ ρ₂₃.p X₂ X₃) j ⟶ A :=
  Cofan.IsColimit.desc (isColimitCofan₃MapBifunctorBifunctor₂₃MapObj F G₂₃ ρ₂₃ X₁ X₂ X₃ j)
    (fun i ↦ f i.1.1 i.1.2.1 i.1.2.2 i.2)

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