According to Constructivism in Mathematics: An Introduction by Troelstra A.S. and Van Dalen (https://archive.org/details/constructivismin0002troe/page/718/mode/2up) it is proven in an intuitionisitc meta-theory (as well as a classical meta-theory) that Intuitionistic Predicate Logic is (semantically) complete. Acoording to Completeness and Incompleteness for Intuitionistic Logic by Charles McCarty (https://www-jstor-org.libsrv.wku.edu/stable/pdf/27590334.pdf?refreqid=excelsior%3A6a685f26e8f7160e6a8acd8600fde1e7) it is proven that IZF (intuitionstic set theory) proves that Intuitionistic Predicate Logic is (semantically) incomplete. I am unsure how to reconcile these two results.