theorem intermediate_dimension_intermediate_rate {d α₀ : ℝ}
(hα₀ : 0 < α₀) (hd_lo : 1 < d) (hd_hi : d < 2) :
geometricLearningRate 1 α₀ < geometricLearningRate d α₀ ∧
geometricLearningRate d α₀ < geometricLearningRate 2 α₀ :=
⟨learning_rate_monotone_in_dimension hα₀ hd_lo,
learning_rate_monotone_in_dimension hα₀ hd_hi⟩Green Energy Transition Extension