The dictionary does not list "in elaboration of," but I'd like to know whether it is natural in the following:
Peter delivered a series of lectures in elaboration of the theory.
I'd appreciate your help.
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elaborating is encountered far more often than in elaboration of but the latter collocation is grammatical.
The participle is a viable alternative to the prepositional phrase. For example:
defying ... in defiance of
emulating ... in emulation of
honoring ... in honor of
pursuing ... in pursuit of
The prepositional phrase is in a more formal register. Some might consider it a bit ponderous, others as imparting a certain gravitas. A stylistic call. You'd have to consider the ambient tone.