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• Decoding-left-inverse

Decodex-of-encode

Decoding the encoding of a valid instruction yields the original instruction.

That is, decoding is left inverse of encoding, over valid instructions.

Definitions and Theorems

Theorem: decodex-of-encode

(defthm decodex-of-encode
  (implies (instr-validp instr feat)
           (equal (decodex (encode instr feat) feat)
                  (instr-fix instr))))