MATH.12:2 - Problem
Knowing that an answer exists can leave the next calculation impossible to perform. Even when a proof contains an answer, its presentation may separate the values needed to compute it or suppress their dependencies.
There is also a possible mismatch between mathematical reasoning and execution. A proof can distinguish two cases without providing a procedure that selects one. A formal system can store an existence proposition in a form that does not expose its witness as program data.
The needed result is an operation with stated inputs and an argument that its output satisfies the requested relation. A missing branch decision, unavailable auxiliary operation or unsupported termination claim is a specific remaining problem.