Orthocomplemented subspaces of a Hilbert space are in bijection with partial projections, yielding a constructive quantum logic with classical negation.
Bishop: Foundations of Constructive Analysis, McGraw-Hill, 1967
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Orthocomplemented subspaces and partial projections on a Hilbert space
Orthocomplemented subspaces of a Hilbert space are in bijection with partial projections, yielding a constructive quantum logic with classical negation.