2 problems
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Extension of the theorem to weakly orthomodular lattices
WOML extension conjecture. The theorem should hold in any weakly orthomodular lattice.
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The Solèr-type conjecture on division rings of quantum proposition lattices
Let the lattice of quantum propositions be an orthocomplemented, complete, atomistic, irreducible, separable, orthomodular lattice with the covering property, and suppose that it c…