User blog comment:Testitemqlstudop/On mapping positive integers to ordinals/@comment-43798125-20191027101113/@comment-35470197-20191028091859

By the way, map(1) = w^{map(0) + 1} = w and map(2) = map(2^1 * 1) = w^{map(1)} * 1 = w, right? It does not look injective as you state.