First of all, Teklite is the name of a couple of programs for the first step in technical diving. It was always on the recreational part of the standards, but it is now moved to the technical part.
Teklite is the sum of all that first step courses. But you only need to do 1 before moving to normoxic trimix.
You have 3 choices of entry level: the advanced nitrox (40m), the advanced recreational trimix course (45m) and the adv. rec. trimix plus (51m).
The decolimits are lifted from 15 minutes to unlimited deco some time ago. Also the 48m has been changed into 45 and 51 (this 2 levels have to do with the RESA as they don't want the 51m as entry level on ccr).
The depth is 40m (adv. nitrox), 45m (art), or 51m (art plus). With the last one you can dive 21/35 with one decogas to 51m depth. This decogas can have every percent of oxygen till 100%. So it is more or less the same as the T1 course of gue. All the teklite programms don't have limits in decompression time anymore.
In this course you learn the basic skills like valvedrills, finkicks, stagehandling. And of course gasplanning, decoplanning, diveplanning. The maximum END is 30m.
Then the CMAS part. If people have a more or less older 2* (advanced open water) or 3* (divemaster) cert, the dive limits where 40m or PO2 of 1.4 (so 57m) depth for the 2* and the 3* had a 60m or the 1.4 PO2 limit. This means my 3* recreational cert is a 60m cert, even if this is not mentioned on the card. I passed it with the older standards, so I use it as a 60m on air cert when needed. This is here recreational diving. No discussion possible.
But the never certs have a 40m limit on the 2* and 3*. Some countries state only 30m, but don't have a deep diver specialty, so abroad it is always at least a 40m cert. in my country they have the stupid rule to be able to pass the 2* without deep diving over 20m. Completely stupid and I refuse to sign of these divers. But yes, it is possible. CMAS is not 1 agency like others with 1 book of standards. You have members and that members can make their own rules within the international cmas standards.
But at the end you get an international cert and that means that even if a country states max 30m, you get a 60m cert.
This was with my cert the case.
As cmas is quite dominant in Europe you will see that recrational diving has a limit of 50 or sometimes 60m on air. If they make now cert limits to shallower depths, this will never count for older certs. So my certs stays a 60m cert.