OAI/Topology/CoarseAssembly/ProjectionSwap.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

The unitary which exchanges complementary represented subspaces

  1. def OAI.CoarseAssembly.Analytic.binaryFlip line 15
  2. theorem OAI.CoarseAssembly.Analytic.binaryFlip_apply line 18
  3. theorem OAI.CoarseAssembly.Analytic.binaryFlip_selfAdjoint line 21
  4. theorem OAI.CoarseAssembly.Analytic.binaryFlip_block line 27
  5. def OAI.CoarseAssembly.Analytic.projectionSwap line 35
  6. theorem OAI.CoarseAssembly.Analytic.projectionSwap_apply line 38
  7. theorem OAI.CoarseAssembly.Analytic.projectionSwap_selfAdjoint line 47
  8. theorem OAI.CoarseAssembly.Analytic.projectionSwap_sq line 55
  9. def OAI.CoarseAssembly.Analytic.projectionSwapUnitary line 69
  10. theorem OAI.CoarseAssembly.Analytic.projectionSwapUnitary_clm line 76
  11. theorem OAI.CoarseAssembly.Analytic.projectionSwapUnitary_conjugation line 79