reforms for casse - a question

[zooeyglass]

for time of soldiers reform, the following is required, according to the faq:

-Casse, Arverni, and Aedui must build at least 6 (forum)(L3 Market) collectively
-Casse, Arverni, and Aedui must build at least 4 Large Cities collectively
-Casse, Arverni, and Aedui must build at least 6 Large Temples ('awesome' level)(L3 Temple) collectively

I am playing as Casse, and have 4 large cities, and at least 6 L3 markets. i'm pretty sure i have the required temples...no reform yet. is this because arverni/aedui need to also be a contributing member of the requirements? ie i can't get the requirements all myself for the reform to work? clarification would be great, thank you in advance.

a rephrase, for clarity on my part: do those requirements need to be shared between all three factions, or can one faction alone get all the requirements and thus prompt the reform?