OAI/Analysis/Nuclearity/TensorFixedElement.lean

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10 declarations, 0 contain sorry, 0 declared as axioms

The elementary-tensor nullspace test in the last paragraph of KR02 Lemma 7.18. The fixing map is an actual abelian-range inner compression.

  1. def OAI.WeakPureInfiniteness.representedCompression line 23
  2. lemma OAI.WeakPureInfiniteness.representedCompression_apply line 28
  3. lemma OAI.WeakPureInfiniteness.representedCompression_cp line 34
  4. lemma OAI.WeakPureInfiniteness.representedCompression_commute line 40
  5. def OAI.WeakPureInfiniteness.compressedTensorFunctional line 47
  6. def OAI.WeakPureInfiniteness.inclusionTensorFunctional line 55
  7. lemma OAI.WeakPureInfiniteness.compressedTensorFunctional_elementary line 64
  8. lemma OAI.WeakPureInfiniteness.inclusionTensorFunctional_elementary line 73
  9. lemma OAI.WeakPureInfiniteness.tensor_square_eq_of_compression_fixing line 82
  10. theorem OAI.WeakPureInfiniteness.abelian_compression_tensor_square_witness line 98