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Research proof index

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Project-declaredLean 4.32.0

Of Real tv Dist bind left le const

ofReal_tvDist_bind_left_le_const

Plain-language statement

ℝ≥0∞ form of tvDist_bind_left_le_const, matching the quantitative APIs: a per-a bound ENNReal.ofReal (tvDist (f a) (g a)) ≤ ε on the support of mx lifts through the shared bind.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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Project-declaredLean 4.32.0

Tv Dist bind left le const

tvDist_bind_left_le_const

Plain-language statement

Total-variation distance is convex over a shared bind: if tvDist (f a) (g a) ≤ c for every a ∈ support mx, then tvDist (mx >>= f) (mx >>= g) ≤ c. The real-valued root of the const bound, with ℝ≥0∞ companion ofReal_tvDist_bind_left_le_const.

program verificationseparation logiccryptography

Source project: VCVio

Person-level attribution pending.

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