have : (z.y : ℝ) = 0
case mp.y
a b c z : ℤω
h : OneHom.toFun (↑↑inclusion) z = 0
⊢ z.y = 0.y
case this
a b c z : ℤω
h : OneHom.toFun (↑↑inclusion) z = 0
⊢ ↑z.y = 0

case mp.y
a b c z : ℤω
h : OneHom.toFun (↑↑inclusion) z = 0
this : ↑z.y = 0
⊢ z.y = 0.y