These are the Arms of Edward III as King of England & Francewhat would be the arms of a Plantagenet/Lancastrian dynasty ruling over France and England? would it just be the fleur-de-lis or would it also feature the three lions in some fashion? like quartered or impaled with the fleur-de-lis?
Now part of the issue is that English Kings claimed France for long enough that the French Arms often got included automatically when showing England so it was a tad redundant.well like, i was previously of the impression that itd be this historical one you have here, but this was used when the throne was contested. What I want to know is if the arms would still be this if the french throne was secured. Wikipedia says that henry VI used the fleur-de-lis dimidated with the arms you posted. but that's pretty redundant dont you think? having the french arms twice? also again he never was defacto king of france.
But that often happened with marriage where one party rules the other too, see Francis II Arms on marriage to Queen of Scots and v.v. In fact when they claimed England apparently they used the quartered flag too! Which is odd when you realise it's including a counter claim against oneself.
I suspect with security over France they'd either use the quartered arms, and/or separate shields, and/or impalement. Much as France did with Navarre.