Gauss law electric field inside a conductor [closed]

Can you mathematically prove that if there is a cavity in a conductor and no charge is placed in it, the field at all points in the cavity will be zero?

• Good, glad it helped. Some of the statements I wrote in words could be written in symbols as equations, but I didn't think this would add anything to the answer, especially since more words would be needed to explain the meaning of the symbols! I'd argue that my answer $is$ mathematical, but not written with symbols. – Philip Wood May 4 '19 at 18:04