Tajrid (abstraction) rhetorically draws out an imagined second possessor of a quality from a subject already regarded as fully possessing that quality. This reinforces the original subject's excellence in the attribute.
If a speaker says “From so-and-so I gained an intimate friend,” the meaning is not that another literal person is hidden inside. The person is so complete in friendship that the expression imagines another perfect friend emerging from him. The mechanism is figurative extraction.