OAI/Analysis/OperatorAlgebra/GNSSeparableCyclic.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The cyclic GNS subrepresentation of a separable algebra is separable, even when the original Hilbert representation is not.

  1. def OAI.WeakPureInfiniteness.gnsVectorLinear line 15
  2. lemma OAI.WeakPureInfiniteness.gnsVector_norm_le line 26
  3. def OAI.WeakPureInfiniteness.gnsVectorContinuous line 39
  4. lemma OAI.WeakPureInfiniteness.gnsVector_dense line 44
  5. lemma OAI.WeakPureInfiniteness.gns_separable_of_cyclic line 50