OAI/Analysis/Nuclearity/PureProductIdealDetection.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Product pure states detect every nonzero ideal of a minimal tensor product. This is the zero-ideal separation step; general ideal separation still needs the nuclear factor-image kernel formula.

  1. theorem OAI.WeakPureInfiniteness.pureProductEvaluation_elementary_apply line 19
  2. theorem OAI.WeakPureInfiniteness.pureProduct_zero_on_ideal line 32
  3. theorem OAI.WeakPureInfiniteness.exists_pureProduct_detecting_ideal line 56