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Answer by Theo Johnson-Freyd for Morphism of tensor functors in rigid tensor...
The result does not require $\mathcal{C}'$ to be rigid. But of course a monoidal functor with rigid domain will have rigid image, so any nonrigidity in $\mathcal{C}'$ is not seen by the problem.Anyway,...
View ArticleMorphism of tensor functors in rigid tensor categories
This is a cross-post from MSE.$\require{AMScd}$The following proposition (1.13) is given in Tannakian Categories (loosely paraphrased with some change in notation).Assume that $(F,c),(G,d):\mathcal{C}...
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