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diff --git a/src/theory/arith/arith_lemma.h b/src/theory/arith/arith_lemma.h
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+/*********************                                                        */
+/*! \file arith_lemma.h
+ ** \verbatim
+ ** Top contributors (to current version):
+ **   Gereon Kremer
+ ** This file is part of the CVC4 project.
+ ** Copyright (c) 2009-2020 by the authors listed in the file AUTHORS
+ ** in the top-level source directory) and their institutional affiliations.
+ ** All rights reserved.  See the file COPYING in the top-level source
+ ** directory for licensing information.\endverbatim
+ **
+ ** \brief ArithLemma class, derived from Lemma.
+ **/
+
+#ifndef CVC4__THEORY__ARITH__ARITH_LEMMA_H
+#define CVC4__THEORY__ARITH__ARITH_LEMMA_H
+
+#include <tuple>
+#include <vector>
+
+#include "expr/node.h"
+#include "theory/arith/nl/inference.h"
+#include "theory/inference_manager_buffered.h"
+#include "theory/output_channel.h"
+#include "theory/theory_inference.h"
+
+namespace CVC4 {
+namespace theory {
+namespace arith {
+
+/**
+ * The data structure for a single lemma to process by the arithmetic theory,
+ * derived from theory::SimpleTheoryLemma.
+ *
+ * This also includes the inference type that produced this lemma.
+ */
+class ArithLemma : public SimpleTheoryLemma
+{
+ public:
+  ArithLemma(Node n,
+             LemmaProperty p,
+             ProofGenerator* pg,
+             nl::Inference inf = nl::Inference::UNKNOWN)
+      : SimpleTheoryLemma(n, p, pg), d_inference(inf)
+  {
+  }
+  virtual ~ArithLemma() {}
+
+  /** The inference id for the lemma */
+  nl::Inference d_inference;
+};
+/**
+ * Writes an arithmetic lemma to a stream.
+ */
+std::ostream& operator<<(std::ostream& out, const ArithLemma& al);
+
+}  // namespace arith
+}  // namespace theory
+}  // namespace CVC4
+
+#endif /* CVC4__THEORY__ARITH__ARITH_LEMMA_H */