Solicitor's Duty to the Court

[Hymie]

My understanding of English law is that a solicitor representing a client in court, has a 'first' duty to the court (and not to their client).

If during the course of a trial, the solicitor's client makes statements under oath that the solicitor knows to be factually incorrect - does the solicitor have a duty to bring this to the court's attention � or are they allowed to assume that the opposing side will do so (whether they do or not)?