${\displaystyle {\begin{aligned}(A^{\perp })^{\perp }&\equiv A\\(A\otimes B)^{\perp }&\equiv A^{\perp }\,\wp \,B^{\perp }\\(A\oplus B)^{\perp }&\equiv A^{\perp }\,\&\,B^{\perp }\\(!A)^{\perp }&\equiv \,?A^{\perp }\end{aligned}}}$

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