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theorem Verification.integral_unit_linear_hinge (h : ℝ) (hh : 0 ≤ h) (t : ↑unitInterval) : ∫ (u : ↑unitInterval), max 0 (h * (↑u - ↑t)) = h * (1 - ↑t) ^ 2 / 2

Integral of a nonnegative linear hinge on the unit interval.