OAI/GroupTheory/PolycyclicRecognition/Analysis/SmallCoefficientMean.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

An invariant mean on the actual bounded coefficient ring

Every ring element has finite range. Evaluation as a real bounded function is therefore defined without any extra boundedness premise.

  1. def OAI.PolycyclicRecognition.smallCoefficientBoundedReal line 17
  2. theorem OAI.PolycyclicRecognition.smallCoefficientBoundedReal_apply line 25
  3. def OAI.PolycyclicRecognition.smallCoefficientBoundedRealLinear line 28
  4. theorem OAI.PolycyclicRecognition.smallCoefficientBoundedReal_one line 42
  5. theorem OAI.PolycyclicRecognition.smallCoefficientBoundedReal_translate line 48
  6. def OAI.PolycyclicRecognition.smallCoefficientRealMean line 54
  7. theorem OAI.PolycyclicRecognition.smallCoefficientRealMean_one line 58
  8. theorem OAI.PolycyclicRecognition.smallCoefficientRealMean_invariant line 63