intro c
case right
m n : ℕ
hmn : m ≤ n
hm : all_colorings_are_good m
⊢ ∀ (color : ↑(Set.Icc 1 n) → Fin 2), coloring_is_good color
case right
m n : ℕ
hmn : m ≤ n
hm : all_colorings_are_good m
c : ↑(Set.Icc 1 n) → Fin 2
⊢ coloring_is_good c