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Complexitylib.Classes.P.PairWithInput.Internal

Polynomial-time pairing with the original input — proof internals #

theorem Complexity.mem_FP_pairWithInput_internal {f : List Bool → List Bool} (hf : f ∈ FP) :
(fun (x : List Bool) => pair (f x) x) ∈ FP

Internal closure of FP under x ↦ pair (f x) x.