so he cheated on his first wife too, the rat!
happy new year to you too, prince

edited to add: yes, henry 4th erased the beauforts from the throne line, but he did confirm their legitimacy. i think that is very significant. all of them were born outside the marriage and it would have been very difficult to make many people accept them as heirs to the throne... i'm pretty sure henry had no obligation to confirm his brothers' legitimacy. and i'm sure he did the best he could in the situation.