"Brexit implications..the UK can't.. remain an EIB shareholder..only EU member states are allowed. "
Since the EIB and the EIF are both EU institutions how the UK disengages from them will no doubt be on the (very long) list of stuff-to-do-to-withdraw-from-the-EU.
Also didn't CMD say the UK would honor it's funding commitments to the EU to 2020 (EU funding cycles are in 5 year blocks) come what may?
Of course now that May has come she could just say that a verbal contract ain't worth the paper it's written on.