ofLEMk_comp — Mathlib

English

Similarly, the instance making ofMkLE is mono; i.e., the morphism witnessing an inequality mk f ≤ X is mono.

Русский

Аналогично, инстанс моно для ofMkLE; стрелка, удостоверяющая неравенство mk f ≤ X, моно.

LaTeX

$$$Mono(ofMkLE\\; f\\; X\\; h)$$$

Lean4

@[simp]
theorem ofLEMk_comp {B A : C} {X : Subobject B} {f : A ⟶ B} [Mono f] (h : X ≤ mk f) : ofLEMk X f h ≫ f = X.arrow := by
  simp [ofLEMk]

Похожие утверждения