Conditional use of the interface

Suppose a future slot is given by a finite ordered recipe whose inputs are specified distributions. If every operation in that recipe is justified, every integration has the required support control, and any extension step is separately constructed, the recipe defines an output distribution.

The verification proceeds in the order of the recipe: an operation is applied only after its inputs have been defined and its hypotheses checked. Its output estimate is then available for the next operation. This finite induction does not supply the missing input kernels, prove a required final cone condition, or establish a quantum admission theorem.