Monoidal natural transformation

Suppose that formula_1 and formula_2 are two monoidal categories and
are two lax monoidal functors between those categories.
A monoidal natural transformation
between those functors is a natural transformation formula_6 between the underlying functors such that the diagrams
commute for every objects formula_7 and formula_8 of formula_9 (see Definition 11 in ).
A symmetric monoidal natural transformation is a monoidal natural transformation between symmetric monoidal functors.