"mental process of" is correct and usable in written English.
You can use this phrase when you are referring to someone's thought process, for example: "The mental process of problem solving requires a lot of patience and practice."
With every year that passes I am more and more puzzled - and dismayed - by the mental process of learning, absorbing, internalising and finally, speaking lines of dialogue.
From the work of Roman Jakobson, of the same school of linguistic thought, Lévi-Strauss adopted the so-called distinctive feature method of analysis, which postulates that an unconscious "metastructure" emerges through the human mental process of pairing opposites.
Spring, Wilkenfeld said, has become the time for "owning and claiming the dress: putting it up on Facebook and saying, 'This is mine!' " The process, he said, can take months, becoming what he called "an obsession" and "a mental process of agony".
The way the Dignāga-Dharmakīrti Dignāga-Dharmakīrtie mental proceschoolrepresent is thet one thinks: "A is B because of being C, like D".
The crucial question for epistemology is about the role of background beliefs, and the mental process of indirect perception need not make use of background beliefs.
An entity's status as a unit is not intrinsic, since the basis of its status is our mental process of differentiation and integration.
It is likewise of great help in expressing the mental processes of the characters.
"It's as if you were being exposed to the mental processes of a 9-year-old boy," he said.
As it is, the statly inanities of federal architecture have a deadening effect on the mental processes of senator & representative alike.
"I do not," Jackson writes, "set myself up as one to appraise the mental processes of the president" -- a credo with few, if any, adherents today.
What is going to happen to the mental processes of the rival editors, each of whom must now mistrust all her ideas?
