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MATH.8:12 - Relations

  • Uses MATH.1 and MATH.5: compose generating transformations and construct an action that respects their relations.
  • Uses MATH.4: extend preservation through finite compositions and justify the finite-closure result.
  • Uses MATH.2: decide which further operations remain defined on orbit classes.
  • Connects with MATH.6: exhibit a changed condition or a counterexample to a completeness claim.
  • Connects with MATH.7: compare an arbitrary representation change with an action preserving a given structure.
  • Uses C.29 for another subject: recover what the mathematical transformation and returned solution mean there.
  • Uses MATH.13 when the requested answer is unique or must be chosen equivariantly: obtain its fixed-point restriction or an obstruction under the stated premises.
  • Uses B.5.QD and C.11.DUA when continuation matters: choose a useful missing family, new transformation or further calculation.