Familiar religious example: Luke 6:37 "Judge not, and ye shall not be judged: condemn not, and ye shall not be condemned: forgive, and ye shall be forgiven:"
Transitive (from mathematics) doesn't quite work because it's not really if A=B & B=C then A=C. If I forgive her and God forgives me, the God forgives her? Maybe theologically correct, but not the right meaning.
Transference in psychology doesn't quite fit either. "God is transferring His forgiveness for me to another person"--don't think so.
Causal is closer: "If I forgive him, God will forgive me"
Any other options?