toCoinduced — Mathlib

English

There are canonical morphisms X_i → coinduced f in TopModuleCat R, induced by the given maps f_i.

Русский

Существует каноническая morphism-образование X_i → coinduced f в TopModuleCat R, полученное из данных отображений f_i.

LaTeX

$$$\\forall i,\\; X_i \\longrightarrow\\mathrm{coinduced}(f) \\quad(\\text{via } f_i).$$$

Lean4

/-- The maps into the coinduced topology as homs in `TopModuleCat R`. -/
def toCoinduced (i) : X i ⟶ coinduced f :=
  ofHom (Y := coinduced f) ⟨(f i).hom, continuous_iff_coinduced_le.mpr (le_sInf fun _ hτ ↦ hτ.2.2 i)⟩

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