Bleeding while brushing usually means the gum tissue is already inflamed, most often because of plaque sitting along the gumline, or because the brushing itself is too forceful. A toothpaste cannot remove that plaque on its own and cannot repair inflamed tissue — it is a cosmetic hygiene product, not a medicine.
What this formula can do is reduce the unpleasantness of brushing a tender mouth. Cedar oil is associated with soothing properties and better microcirculation in the gums, which is relevant when the tissue is prone to irritation. Dwarf cedar essential oil is there to calm irritated areas, and peppermint oil provides a cooling feel that may help you brush gently instead of rushing through the painful zones. In other words, it supports comfortable daily cleaning while the underlying cause of the bleeding is addressed separately.
If your gums bleed every time you brush, or the bleeding continues for more than a few days, see a dentist. Bleeding can be a sign of gum inflammation that may need professional care, and the sooner it is checked, the easier it usually is to manage. In the meantime, do not stop brushing — regular gentle cleaning is the most useful thing you can do. Use a soft brush, light pressure, and clean carefully along the gumline. If you floss, do it gently as well; heavy flossing can make bleeding worse and is not a sign of effective cleaning.