## Problem 223 — rank:250

**Title:** Functional partition among IL-17-producing cells

**Added binding assumptions (LaTeX):**

```latex
All subset counterfactuals must be jointly defined under compatible source-specific intervention versions. Shapley attributions sum to $v_c(\mathcal K)-v_c(\varnothing)$ but can be negative; they are not automatically nonnegative percentages. Missing subset outcomes can be bounded using the outcome range, with any monotonicity assumption separately stated. The combinatorial formula is known; identifying the necessary counterfactual table is the biological problem.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.