Does the Rogue's Reliable Talent work for Thieves' tools, if the rogue is proficient in them?  It would be my opinion that it would indeed work for tools and kits based on the PHB verbiage, but I am looking for affirmation of my understanding.  I have cited the quotes below which make me believe they will.

PHB, pg. 96: When Reliable Talent is applicable-
> Whenever you make an ability check that lets you add your proficiency bonus

PHB, pg. 154: Using Thieves' Tools- 
>Proficiency with these tools lets you add your proficiency bonus to any ability checks you make to disarm traps or open locks.