OAI/Algebra/Finitistic/Localization/SourceImageEvaluation.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LittleFinitistic.SourceImageEvaluation.sandwich_map_eq line 9
  2. abbrev OAI.LittleFinitistic.SourceImageEvaluation.representation line 25
  3. abbrev OAI.LittleFinitistic.SourceImageEvaluation.evaluation line 26
  4. abbrev OAI.LittleFinitistic.SourceImageEvaluation.action line 27
  5. abbrev OAI.LittleFinitistic.SourceImageEvaluation.vertexIso line 29
  6. def OAI.LittleFinitistic.SourceImageEvaluation.completed line 31
  7. instance OAI.LittleFinitistic.SourceImageEvaluation.(instance at line 33) line 33
  8. def OAI.LittleFinitistic.SourceImageEvaluation.factors line 34
  9. abbrev OAI.LittleFinitistic.SourceImageEvaluation.imageSpace line 38

    Source documentation

    Literal range of the selecting operator on the canonical universe lift of Y.

    abbrev imageSpace (e : R) := LinearMap.range (action (k := k) (Y := Y) e).hom

    Mentions: OAI.LittleFinitistic.SourceImageEvaluation.action

  10. def OAI.LittleFinitistic.SourceImageEvaluation.imageK line 40
  11. def OAI.LittleFinitistic.SourceImageEvaluation.imageDerived line 43
  12. lemma OAI.LittleFinitistic.SourceImageEvaluation.action_idem line 47
  13. abbrev OAI.LittleFinitistic.SourceImageEvaluation.U line 53
  14. def OAI.LittleFinitistic.SourceImageEvaluation.projection line 55
  15. def OAI.LittleFinitistic.SourceImageEvaluation.inclusion line 60
  16. lemma OAI.LittleFinitistic.SourceImageEvaluation.inclusion_projection line 66
  17. lemma OAI.LittleFinitistic.SourceImageEvaluation.projection_inclusion line 73
  18. def OAI.LittleFinitistic.SourceImageEvaluation.summandImageIso line 82