I should have been clearer. Man cannot produce grace: he cannot cooperate with God sending grace down. That is what I should have said in application to semi-Pelagianism.
The Catechism says that man must cooperate with grace in the realm of his own works; for example, once in a state of grace a Catholic man can undertake the good work of explaining the scripture to non-Catholics. That is of course true: this is why Sola Fide is a false doctrine.
These were two meanings of “cooperate” that I had to better distinguish between.
Caught again and changing your story midstream.
Fact of the matter is, you are stating things that Rome anathematizes people over.
Back pedaling duly noted.