English
There is a FunLike instance for BoundedLatticeHom, identifying the function with the underlying coe.
Русский
Существует экземпляр FunLike для BoundedLatticeHom, отождествляющий функцию с основанной конверсией.
LaTeX
$$$\\text{instFunLike}:\\mathrm{FunLike}(\\mathrm{BoundedLatticeHom}(\\alpha,\\beta),\\alpha,\\beta)$$$
Lean4
instance instFunLike : FunLike (BoundedLatticeHom α β) α β
where
coe f := f.toFun
coe_injective' f g h := by obtain ⟨⟨⟨_, _⟩, _⟩, _⟩ := f; obtain ⟨⟨⟨_, _⟩, _⟩, _⟩ := g; congr