A spokeswoman for Cornwall Council said it had received no formal notification of Collin Brewer's intention to resign, despite reports that the independent councillor has quit his job.
Cllr Brewer faced calls to go yesterday after it emerged he had suggested that disabled children "should be put down" to save money.
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Among those murdered was Keith Palmer, an unarmed constable who "did his job and never wanted any fuss."
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