OAI/GroupTheory/PolycyclicRecognition/Algebra/ThreeCongruenceMatrix.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Integral matrices congruent to the identity modulo three

  1. def OAI.PolycyclicRecognition.matrixMod line 14
  2. theorem OAI.PolycyclicRecognition.matrixMod_apply line 17
  3. theorem OAI.PolycyclicRecognition.matrixMod_zsmul line 20
  4. theorem OAI.PolycyclicRecognition.zmod_three_power_zero line 26
  5. theorem OAI.PolycyclicRecognition.integerMatrix_three_primitive line 32
  6. theorem OAI.PolycyclicRecognition.integerMatrix_prime_three_dvd line 53
  7. theorem OAI.PolycyclicRecognition.integerMatrix_cube_three_dvd line 86
  8. theorem OAI.PolycyclicRecognition.integerMatrix_eq_one_of_prime_order_three_congruence line 134