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

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