English
There are HasExplicitFiniteCoproducts for Y ↦ TotallyDisconnectedSpace Y ∧ SecondCountableTopology Y.
Русский
Существуют явные конечные копроизведения для Y ↦ TotallyDisconnectedSpace Y ∧ SecondCountableTopology Y.
LaTeX
$$$\text{HasExplicitFiniteCoproducts }(\lambda Y.\text{TotallyDisconnectedSpace } Y \wedge \text{SecondCountableTopology } Y)$$$
Lean4
instance : HasExplicitFiniteCoproducts.{w, u} (fun Y ↦ TotallyDisconnectedSpace Y ∧ SecondCountableTopology Y) where
hasProp
_ :=
{
hasProp :=
⟨show TotallyDisconnectedSpace (Σ (_a : _), _) from inferInstance,
show SecondCountableTopology (Σ (_a : _), _) from inferInstance⟩ }
