CODA-CS: The Continuum Shadow

The Continuum Shadow (CODA-CS) A query constant on coarse fibres is constant on refined fibres. Equality of family observations is pointwise equality. A first-coordinate observation of Boolean pairs cannot recover the second coordinate. The declared authority predicate additionally requires a local terminalizer and a nonempty authorized finite shadow tower. Missing a terminalizer makes this predicate false. It says nothing about uniqueness or existence of a mathematical answer: a constant-zero query remains uniquely defined. Authorized gluing of overlapping shadows is outside the proved scope. Artifacts and verification scope The manuscript is supplied as Markdown and TeX. Exact rational computation lives in `code/`, with edge, mutation, and regression tests in `code/tests/`. Three notebooks bind their imports to the local companion and solver; no ancestor repository path is inserted. Lean sources use the pinned `lean4/lean-toolchain` and no external mathlib package. See `000_quick_start.md` for dependency installation and replay commands. Current test counts come from pytest collection, not this description.