Resolves Arkor's conjecture with equivalent characterizations of exponentiable virtual double categories via cell decompositions and proves several classes including cospans are exponentiable.
Before proving the proposition let’s explicate the three conditions appearing in the statement
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Exponentiable Virtual Double Categories and Representability of Exponentials
Resolves Arkor's conjecture with equivalent characterizations of exponentiable virtual double categories via cell decompositions and proves several classes including cospans are exponentiable.