Source audit
Definitions, theorems, assumptions, proof route, and exact anchors.
Statistical Optimal Transport · Appendix B
Probability
Stable source-facing chapter environment inside the shared Samplinglib reader.
scaffoldsource mapFull source closure not claimed
Planned route
Source → theorem map → reusable Lean nodes
Upstream alignment
Reuse the canonical convex, coupling, entropy and calculus interfaces. Local source availability is not yet a compatible Lean theorem.
Frontier Cells
Only genuinely missing mathematical edges become theorem-sized tasks.
Graph placement
Dependencies, consumers, cross-library bridges, and reusable shared interfaces.
Mathematical orientation
\[T_\#\mu(A)=\mu(T^{-1}(A))\]
Measurable pushforwards, integration and convergence belong in the shared probability layer. Standard Borel, moment and integrability assumptions must be retained when moving from textbook shorthand to Lean.
This is ASTIS orientation, not a verbatim source theorem or a completed formalization. Each theorem needs its own assumptions and source-to-Lean audit.