Let x and y be given.
Assume Hx: x R_omega_space.
Assume Hy: y R_omega_space.
An exact proof term for the current goal is (R_lub_in_R (Romega_D_scaled_diffs x y) (Romega_D_metric_value x y) (Romega_D_metric_value_is_lub x y Hx Hy)).