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Upper cap-linear discounted affine drift bounded by nonnegative drift

Proved
AvramDividend.Classical.avram_gfinite59_caplinear_affine_discount_drift_le_positive_part

by WillR · Nov 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

For a nonnegative value at the cap-linear cutoff, nonnegative discount and a point above cutoff, the affine continuation contributes discounted drift at most the positive part of the original process drift. Direct deterministic scalar component of the original Gaussian upper-strip generator estimate; replaces a failed publisher specification with ambiguous process binders.

Preamble
import Mathlib
noncomputable section
Formal statement
theorem AvramDividend.Classical.avram_gfinite59_caplinear_affine_discount_drift_le_positive_part
    (c q wb b y : ℝ) (hq : 0 ≤ q)
    (hwb : 0 ≤ wb) (hby : b ≤ y) :
    c - q * (wb + (y - b)) ≤ max c 0 := by
  sorry

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