Boris Johnson's transport spokesperson Isabel Dedring said the mayor had "more than tripled the level of investment in cycling since he came in".
But she added: "Because the number of people we're seeing in the cycle network has more than doubled over the last few years, we do see very clearly we need to increase that level of investment going forward."
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Barnet Council ran the school, which was an institution for young people with learning difficulties.
Bowers pleaded not guilty of assaulting his ex-fiancee Sophia Cahill in Croydon in January.