OAI/GroupTheory/PolycyclicRecognition/Lattices/IntegralLatticePowerIndex.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Finite-index powers in an integral vector lattice

  1. def OAI.PolycyclicRecognition.latticePowerHom line 11
  2. def OAI.PolycyclicRecognition.latticeCoordinateHom line 16
  3. theorem OAI.PolycyclicRecognition.latticePowerHom_injective line 21
  4. theorem OAI.PolycyclicRecognition.latticePowerHom_range line 30
  5. theorem OAI.PolycyclicRecognition.latticePowerHom_finiteIndex line 45
  6. def OAI.PolycyclicRecognition.integralSemidirectPowerMap line 55
  7. theorem OAI.PolycyclicRecognition.integralSemidirectPowerMap_injective line 60
  8. theorem OAI.PolycyclicRecognition.integralSemidirectPowerMap_range line 68
  9. theorem OAI.PolycyclicRecognition.integralSemidirectPowerMap_finiteIndex line 81