Place shredded cabbage, carrots and diced red pepper on a kitchen towel. Wrap with towel and ring out veggie water into the sink. Place in a large bowl with finely chopped onion.
In a small bowl, mix together remaining ingredients until smooth before adding to salad bowl. Mix well to combine and taste for seasoning; add more salt, pepper, or sugar if desired.
Store in the fridge to cool for 2-3 hours. Will keep for 3-4 days.
Recipe by Healthful Pursuit at https://www.healthfulpursuit.com/2011/08/vegan-coleslaw-bean-mayonnaise/