We show here that all almost connected pro-Lie groups as well as their continuous homomorphic images are R-factorizable and ω-cellular , i.e. every family of Gδ-sets contains a countable subfamily whose union is dense in the union of the whole family. We also prove a general result which implies as a special case that if a topological group G contains a compact invariant subgroup K such that the quotient group G/K is an almost connected pro-Lie group, then G is R-factorizable and ω-cellular.
Applying the aforementioned result we show that the sequential closure and the closure of an arbitrary Gδ,Σ-set in an almost connected pro-Lie group H coincide.