Before revision:  We show that divine equilibrium (Banks and Sobel, 1987) is nested between "rationality-compatible" equilibrium, which corresponds to an upper bound on the set of possible learning outcomes, and "uniform rationality-compatible" equilibrium, which provides a lower bound .
After revision:  We show that divine equilibrium (Banks and Sobel, 1987) . Uniform RCE sometimes but not always exists, and implies universally divine equilibrium .