OAI/GroupTheory/PolycyclicRecognition/Finiteness/CochainSuccessor.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

The successor shift of a nonnegative cochain complex

  1. def OAI.PolycyclicRecognition.negativeCochainComplex line 16
  2. def OAI.PolycyclicRecognition.moduleNegIdentityIso line 24
  3. def OAI.PolycyclicRecognition.negativeCochainShortComplexIso line 30
  4. def OAI.PolycyclicRecognition.negativeCochainHomologyIso line 38
  5. def OAI.PolycyclicRecognition.cochainSuccessorEmbedding line 42
  6. def OAI.PolycyclicRecognition.cochainSuccessor line 47
  7. def OAI.PolycyclicRecognition.cochainSuccessorXIso line 51
  8. def OAI.PolycyclicRecognition.cochainSuccessorHomologyIso line 55
  9. theorem OAI.PolycyclicRecognition.cochainSuccessor_zero line 60
  10. theorem OAI.PolycyclicRecognition.cochainSuccessor_homology_zero line 66
  11. theorem OAI.PolycyclicRecognition.cochainSuccessor_d line 72
  12. def OAI.PolycyclicRecognition.cochainSuccessorCyclesIso line 78
  13. theorem OAI.PolycyclicRecognition.cochainSuccessorCyclesIso_iCycles line 83
  14. theorem OAI.PolycyclicRecognition.cochainSuccessorHomologyIso_π line 99