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MATH.4:12 - Relations

  • Uses FPF B.5.RC and B.5.RA when needed: recover an unfamiliar input construction or proof before choosing the cases.
  • Connects with MATH.1: a witness can itself be a constructed path; a changed step can alter its permitted joins.
  • Uses MATH.2 when input constructions are identified: establish whether the output is independent of their representative. MATH.2 also helps retain the information needed by the next operation when simplifying a witness.
  • Connects with FPF B.5.RR and B.5.QD: locate the first failed clause after a changed premise and develop the resulting construction question.
  • Connects with FPF C.29 and C.29.2: interpret the mathematical result and relate an executable procedure to its claimed result.
  • Connects with algorithm design: compare other constructions, representations and resource use while preserving the needed specification.