Summary of invariance transformations and degeneracies and their connections discussed here: the transformations in the local model-independent branch of the tree are set up as global transformations in the original works, yet, they have local restrictions that are intrinsic in the gravitational lensing formalism. ⁽¹⁾Monopoles and generalised mass sheet transform by Liesenborgs & De Rijcke (2012), ⁽²⁾sub-division of the deflection potential discussed in Wagner (2018), ⁽³⁾mass sheet transformation by Falco et al. (1985) here listed under the model-based transformations as it is usually interpreted as a mass sheet but it could also be considered as a special case of the magnification transformation, ⁽⁴⁾magnification transformation and prismatic transformation by Gorenstein et al. (1988), ⁽⁵⁾source position transformation by Schneider & Sluse (2014) with ⁽⁶⁾time delay investigation by Wertz et al. (2018).