consistent

(in the plural) Objects or facts that are coexistent, or in agreement with one another.

A kind of penitent who was allowed to assist at prayers, but was not permitted to receive the holy sacraments.

Of a regularly occurring, dependable nature.

"He is very consistent in his political choices: economy good or bad, he always votes Labour!"

Compatible, accordant.

Of a set of statements: such that no contradiction logically follows from them.