OAI/GroupTheory/PolycyclicRecognition/Geometry/AnalyticRepresentationGroup.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Analytic group operations in representation coordinates

  1. theorem OAI.PolycyclicRecognition.RepresentedLocalChart.zero_mem_target line 20
  2. theorem OAI.PolycyclicRecognition.RepresentedLocalChart.symm_zero line 25
  3. theorem OAI.PolycyclicRecognition.RepresentedLocalChart.contMDiff_mul line 29
  4. theorem OAI.PolycyclicRecognition.RepresentedLocalChart.contMDiff_inv line 74
  5. theorem OAI.PolycyclicRecognition.RepresentedLocalChart.lieGroup line 106

    Source documentation

    These representation coordinates give an actual analytic Lie group.

    theorem lieGroup : letI := C.chartedSpace; LieGroup (𝓘(ℝ,E)) ω G := by
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