English
There is a Min instance for InfTopHom α β, defined by combining the Min structures on α and β via the InfTopHom construction.
Русский
Существует инстанс Min для InfTopHom(α,β), задаваемый через структуры Min на α и β в рамках InfTopHom.
LaTeX
$$$\\text{instance }:\\mathrm{Min}(\\mathrm{InfTopHom}(\\alpha,\\beta))$ defined by the InfTopHom construction$$
Lean4
instance : Min (InfTopHom α β) :=
⟨fun f g => { f.toTopHom ⊓ g.toTopHom with toInfHom := f.toInfHom ⊓ g.toInfHom }⟩