The Comfortable Words [Tikhon] - These are short sentences of Scripture, specifically quotations from Our Lord, St. Paul the Apostle, and St. John the Divine.
What is the function of this element?
Through these passages the faithful are assured of the confidence we have in forgiveness so that we can "draw near with faith" (perhaps corresponding to the East's "holy things for the holy"?).
It is rooted in this verse, as well, Hebrews 10:22 (KJV): “Let us draw near with a true heart in full assurance of faith, having our hearts sprinkled from an evil conscience, and our bodies washed with pure water.”
It should be noted that here, "comfortable" doesn't carry with it the modern connotation of, say, "a comfortable chair" but in the sense of the Holy Spirit is the "Comforter."
Our Parish, which is the founding Parish in the Anglican Use in the Catholic Church, does the same. The Comfortable Words come immediately following the Confiteor. We acknowledge our sinfulness, but then are reminded the Christ came to save sinners.