we would keep you inform once this has completed vs we would keep you informed once this has completed

Some examples from the web:

• We both agreed we would keep some things to ourselves.
• I always thought we would keep each other company.
• We would keep the group small this time.
• We both agreed we would keep some things to ourselves.
• We would keep an open com link to you at all hours.
• We would keep rolling and never call "Cut", and that's the reason we got through it all in a day on Danny's angles.
• I offered to fund his work on the condition that if he did solve it, we would keep the proof under wraps.
• We would keep that mistake in the recommendation if we did not vote for Mr Kacin's amendment.
• Thirdly - and perhaps most importantly - we would keep the idea that Europe has responsibilities in the fight against poverty squarely on the agenda.
• What? They just let Michael go, hoping we would keep up our end of the bargain?
• We fought hard for that, and we actually agreed at the time that we would keep our hands off passenger rail transport until there was a separate document about it.
• We made a promise... that we would keep the boy away from the world and the world away from him.
• I would keep you close, to attend the guests.
• I gave your dad my word that I would keep you safe.
• I was wondering if my system would keep you out.
• It would keep you both alive.
• I thought Anya would keep you with her.
• I told Danny I would keep you safe, so I keep you safe.
• I would keep you here forever, if I could.
• Why are you burning everything That would keep you warm?

Some examples from the web:

• You understand that if I were to oversee this, I would keep you informed of any major decisions, of course.
• We both agreed we would keep some things to ourselves.
• I always thought we would keep each other company.
• We would keep the group small this time.
• We both agreed we would keep some things to ourselves.
• We would keep an open com link to you at all hours.
• We would keep rolling and never call "Cut", and that's the reason we got through it all in a day on Danny's angles.
• I offered to fund his work on the condition that if he did solve it, we would keep the proof under wraps.
• We would keep that mistake in the recommendation if we did not vote for Mr Kacin's amendment.
• Once again, I can assure you that we will keep you informed of developments and discuss our future approach with you, once we have formulated it.
• Thirdly - and perhaps most importantly - we would keep the idea that Europe has responsibilities in the fight against poverty squarely on the agenda.
• - Yes, keep you informed.
• When you started drilling on Southfork behind your Uncle's back, you came to me and asked me if I would keep you informed of any moves your Uncle might make that would stop you from drilling.
• What? They just let Michael go, hoping we would keep up our end of the bargain?
• We fought hard for that, and we actually agreed at the time that we would keep our hands off passenger rail transport until there was a separate document about it.
• We made a promise... that we would keep the boy away from the world and the world away from him.
• I would keep you close, to attend the guests.
• I gave your dad my word that I would keep you safe.
• I was wondering if my system would keep you out.
• It would keep you both alive.