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Suppose that and are two monoidal categories and and are two lax monoidal functors between those categories. A monoidal natural transformation between those functors is a natural transformation between the underlying functors such that the diagrams and commute for every objects and of (see Definition 11 in ). A symmetric monoidal natural transformation is a monoidal natural transformation between symmetric monoidal functors.

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  • Suppose that and are two monoidal categories and and are two lax monoidal functors between those categories. A monoidal natural transformation between those functors is a natural transformation between the underlying functors such that the diagrams and commute for every objects and of (see Definition 11 in ). A symmetric monoidal natural transformation is a monoidal natural transformation between symmetric monoidal functors. (en)
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  • Suppose that and are two monoidal categories and and are two lax monoidal functors between those categories. A monoidal natural transformation between those functors is a natural transformation between the underlying functors such that the diagrams and commute for every objects and of (see Definition 11 in ). A symmetric monoidal natural transformation is a monoidal natural transformation between symmetric monoidal functors. (en)
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  • Monoidal natural transformation (en)
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