WordNet records no synonym and no antonym for carve out. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
establish or create through painstaking effort
“She carved out a reputation among her male colleagues”
remove from a larger whole
“the new start-up company carved out a large chunk of the market within a year”
Synonyms, antonyms and the broader and narrower relations for carve out come from Princeton University’s WordNet. Full sources and licences.