pullbackBiprodInlBiprodInr — Mathlib

English

Given HasPullbacks along f, a pullback exists for h composed with g when h ≫ g is considered.

Русский

При наличии HasPullbacks along f существует пуллбак для h, композиции с g, если рассмотреть h ≫ g.

LaTeX

$$$ [HasPullbacksAlong f] (h : P ⟶ Y) \\Rightarrow HasPullback h (pullback.fst g f) $$$

Lean4

/-- The pullback of `biprod.inl` and `biprod.inr` is the zero object. -/
def pullbackBiprodInlBiprodInr [HasBinaryBiproduct X Y] : pullback (biprod.inl : X ⟶ _) (biprod.inr : Y ⟶ _) ≅ 0 :=
  limit.isoLimitCone ⟨_, (of_hasBinaryBiproduct X Y).isLimit⟩

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