BD-N is a weak principle of constructive analysis. Several interesting principles implied by BD-N have already been identified, namely the closure of the anti-Specker spaces under product, the Riemann Permutation Theorem, and the Cauchyness of all partially Cauchy sequences. Here these are shown to be strictly weaker than BD-N, yet not provable in set theory alone under constructive logic.
"Principles weaker than BD-N." J. Symbolic Logic 78 (3) 873 - 885, September 2013. https://doi.org/10.2178/jsl.7803090