EU launches its own army, Nov 2000
No signs of that so far.
Result: Lies
If they were considering an EU army, us leaving won't have any effect on that.
https://blogs.ec.europa.eu/ECintheUK/eu-launches-its-own-army/
European Rapid Reaction Force
If you disagree, or would like to add more details, please let me know.
You can suggest a reason for leaving the EU, or look at the other reasons.