This book constitutes the refereed proceedings of the 7th International Conference on Test and Proofs, TAP 2013, held in Budapest, Hungary, in June 2013, as part of the STAF 2013 Federated Conferences. The 12 revised full papers presented together with one tutorial were carefully reviewed and selected from 24 submissions. The papers are devoted to the synergy of proofs and tests, to the application of techniques from both sides and their combination for the advancement of software quality. The papers are related to the following topics: test generation; model-based testing and mutants; declarative debugging; and tool testing.