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In the formulation of the first fundamental theorem of calculus in 13.1, I would write deriv (fun u ↦ ∫ x in a..u, f x) b = f b instead of deriv (fun u ↦ ∫ x : ℝ in a..u, f x) b = f b.
In the formulation of the first fundamental theorem of calculus in 13.1, I would write
deriv (fun u ↦ ∫ x in a..u, f x) b = f binstead ofderiv (fun u ↦ ∫ x : ℝ in a..u, f x) b = f b.