OAI/Analysis/IrrationalRotation/Operators/JointEigenspaceAlgebra.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Invariant233.JointEigenspaceAlgebra.commute_rankOne_of_same_eigenvalue line 16
  2. theorem OAI.Invariant233.JointEigenspaceAlgebra.exists_scalar_on_common_eigenspace line 29
  3. theorem OAI.Invariant233.JointEigenspaceAlgebra.commute_starProjection_of_maps line 63
  4. theorem OAI.Invariant233.JointEigenspaceAlgebra.common_eigenspace_mapsTo line 81
  5. theorem OAI.Invariant233.JointEigenspaceAlgebra.common_eigenspace_projection_mem_bicommutant line 94
  6. theorem OAI.Invariant233.JointEigenspaceAlgebra.eq_zero_or_eq_joint_projection_of_le line 110
  7. theorem OAI.Invariant233.JointEigenspaceAlgebra.exists_minimal_projection_below_of_joint_eigenspaces line 140
  8. theorem OAI.Invariant233.JointEigenspaceAlgebra.atomic_bicommutant_of_dense_joint_eigenspaces line 198