diff --git a/src/plugins/projectexplorer/project.cpp b/src/plugins/projectexplorer/project.cpp
index 34680411b70..b593be2e7e2 100644
--- a/src/plugins/projectexplorer/project.cpp
+++ b/src/plugins/projectexplorer/project.cpp
@@ -733,10 +733,9 @@ bool Project::isKnownFile(const Utils::FileName &filename) const
 {
     if (d->m_sortedNodeList.empty())
         return filename == projectFilePath();
-    const auto end = std::end(d->m_sortedNodeList);
     const FileNode element(filename, FileType::Unknown, false);
-    const auto it = std::lower_bound(std::begin(d->m_sortedNodeList), end, &element, &nodeLessThan);
-    return (it == end) ? false : (*it)->filePath() == filename;
+    return std::binary_search(std::begin(d->m_sortedNodeList), std::end(d->m_sortedNodeList),
+                              &element, nodeLessThan);
 }
 
 void Project::setProjectLanguages(Core::Context language)