[lch]

Ranger, I already answered your question. Your province defense won that battle and it ended when the last unit from Caelum retreated out of the battlefield. Nothing is wrong here. You still own the province and you still got your 41 province defense in there. The two commanders on the battlefield are those that you get from a province defense value >= 20. Have you still not understood how province defense works? Then please read your manual.

P.S.: The loss from your province defense doesn't show up in your battle reports because the province defense gets restored up to full troop strength in the new month. Duh.