@mikey_ca =) I see. Well.
Your child disobeyed, but you still love her, and you close the gate (hopefully you continue to work on the stove = hot equation as well). As I said, because you love them you help them change. What makes this case different is that you make an effort, out of your love and forgiveness, to prevent her from touching the stove in the future, thus cultivating the trust. In the previous situation, instead of working through the transgression, hypothetical “you” was complacent and expectant, thus destroying the trust and preventing forgiveness. In the case of the child, it is because you took the steps to work with her to end the stove-touching that trust can be cultivated from your love and forgiveness.
*I do not mean to imply that trust should simply be given without consideration; however, in a situation where trust has been violated or damaged, it cannot be regained if you are not willing to give it; you can not give it if you do not forgive. You can never trust the child alone with the stove if she is never trusted around it with you there. You can never trust your spouse to not hit you if you expect your spouse to hit you.
Unconditional love, in my opinion, implies absolute trust. In my view, that absolute trust is what allows you to always forgive them, and to love them without regard to anything else; this is what makes it un-conditional love. Trust and forgiveness my seem like conditions, but in fact they are simply two more parts of the same whole. Love, trust, and forgiveness together are unconditional love.
Mahal ko kayo.