OAI/Geometry/EinsteinFour/ScalarContinuousLift.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

A local H3-valued bounded operator has a bounded continuous-function lift. The norm bound follows from the closed graph theorem and actual test pairings.

  1. def OAI.PositiveEinsteinFour.Geometry.scalarH3Representative line 21
  2. theorem OAI.PositiveEinsteinFour.Geometry.scalarH3Representative_ae line 24
  3. theorem OAI.PositiveEinsteinFour.Geometry.scalarH3Representative_eq line 28
  4. def OAI.PositiveEinsteinFour.Geometry.scalarH3RepresentativeLinear line 34
  5. theorem OAI.PositiveEinsteinFour.Geometry.scalarH3Representative_pairing line 48
  6. theorem OAI.PositiveEinsteinFour.Geometry.scalarH3Representative_graph_closed line 55
  7. def OAI.PositiveEinsteinFour.Geometry.scalarH3ContinuousLift line 79
  8. theorem OAI.PositiveEinsteinFour.Geometry.scalarH3ContinuousLift_ae line 82