He originally wanted 6 ribs removed, but he couldn’t find a surgeon in the world who would perform the procedure.
Is would past of will?
Yes. Present tense would be "he can't find a surgeon in the world who will perform the procedure". In this case "would" has a sense of "would agree to" or "was prepared to".
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Yes. Present tense would be "he can't find a surgeon in the world who will perform the procedure". In this case "would" has a sense of "would agree to" or "was prepared to".