∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [inst_2 : OrderTopology α] {a b c : α}
  [inst_3 : Fact (a ≤ b)] [inst_4 : Fact (b ≤ c)] {E : Type u_2} [inst_5 : TopologicalSpace E] {x : ↑(Set.Icc a c)}
  (hx : ↑x ≤ b) {fg : { fg // fg.1 ⊤ = fg.2 ⊥ }}, (ContinuousMap.concatCM fg) x = (↑fg).1 ⟨↑x, ⋯⟩