diff --git a/lisa-utils/src/test/scala/lisa/utils/TheoriesHelpersTest.scala b/lisa-utils/src/test/scala/lisa/utils/TheoriesHelpersTest.scala
new file mode 100644
index 0000000000000000000000000000000000000000..5b6dd3092c7995a4aeb16092e0faa9ed486bfe62
--- /dev/null
+++ b/lisa-utils/src/test/scala/lisa/utils/TheoriesHelpersTest.scala
@@ -0,0 +1,27 @@
+package lisa.utils
+
+import lisa.kernel.fol.FOL.*
+import lisa.kernel.proof.RunningTheoryJudgement.InvalidJustification
+import lisa.kernel.proof.SCProof
+import lisa.kernel.proof.SequentCalculus.Hypothesis
+import lisa.test.TestTheory
+import lisa.utils.Helpers.*
+import org.scalatest.funsuite.AnyFunSuite
+
+class TheoriesHelpersTest extends AnyFunSuite {
+  export TestTheory.*
+
+  test("theorem with incorrect statement") {
+    val (s0, s1) = (ConstantFunctionLabel("0", 0), ConstantFunctionLabel("1", 0))
+    runningTestTheory.addSymbol(s0)
+    runningTestTheory.addSymbol(s1)
+    val (c0, c1) = (s0(), s1())
+    val judgement = runningTestTheory.theorem("False theorem", "1 = 0", SCProof(Hypothesis((c0 === c1) |- (c0 === c1), c0 === c1)), Seq())
+    assert(!judgement.isValid)
+    assert(judgement == InvalidJustification("The proof does not prove the claimed statement", None))
+
+    // same theorem but with correct statement
+    assert(runningTestTheory.theorem("True theorem", "1 = 0 |- 1 = 0", SCProof(Hypothesis((c0 === c1) |- (c0 === c1), c0 === c1)), Seq()).isValid)
+  }
+
+}