inf — Mathlib

English

If P and W both descend along Q, then their infimum P ⊓ W also descends along Q.

Русский

Если P и W оба спускаются по Q, то ихInfimum P ⊓ W тоже спускается по Q.

LaTeX

$$$\forall {C} [\mathsf{Category} C] {P Q W : \mathsf{MorphismProperty} C} [P.CodescendsAlong Q] [W.CodescendsAlong Q], (P \sqcup W).CodescendsAlong Q.$$$

Lean4

instance inf [P.CodescendsAlong Q] [W.CodescendsAlong Q] : (P ⊓ W).CodescendsAlong Q where
  of_isPushout h hg hfst := ⟨CodescendsAlong.of_isPushout h hg hfst.1, CodescendsAlong.of_isPushout h hg hfst.2⟩

Похожие утверждения