It's a rare chance (only 2 cards trigger this) but we've hit it last night and the debate was on... and this outted the sleeper cylon because it was a game changing check (it was on a super crisis card).
If both a red tape and an establish network are placed into a check (where blue is a given colour anyway) which takes precedence? Is it that the Red Tape cancels out all 5 and 6 value blue/engineering cards BEFORE the Establish Network doubles them (because of course we also had the 'Build Nuke' tossed in to make this a necessary question), or does the Establish Network double the card, and then the Red Tape kick out anything that's a 6 vale (ie any 3value engineering cards).
I personally feel that the object of the Red Tape is to remove all 5 or 6 value cards outright, regardless of the effects of other cards - and as such it should apply first. And to apply it to just 3 value engineering cards if an Establish Networks is in play reduces it's potency. It feels like the original intent of the game designers was to allow a (cylon?) player to kill the overcooking of a skill check outright and force the (human?) players to dump more cards from their hands - it's a perfect card to toss into a super cylon crisis check.
Establish Networks is very useful because it helps turn to rarely collected (at our table anyway) blue cards into useful tools. However it's a more general use application to me, and because it's specific to a skill set should be second to something that is generalised across all skill sets.
Your thoughts? Is there a game ruling? I've not been able to find anything out there bar a badly worded response on a non-affliated gaming forum (that supports *I think* my views).