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diff --git a/test/language/statements/class/dstr-gen-meth-static-ary-ptrn-elem-id-init-fn-name-cover.js b/test/language/statements/class/dstr-gen-meth-static-ary-ptrn-elem-id-init-fn-name-cover.js
new file mode 100644
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+++ b/test/language/statements/class/dstr-gen-meth-static-ary-ptrn-elem-id-init-fn-name-cover.js
@@ -0,0 +1,87 @@
+// This file was procedurally generated from the following sources:
+// - src/dstr-binding/ary-ptrn-elem-id-init-fn-name-cover.case
+// - src/dstr-binding/default/cls-decl-gen-meth-static.template
+/*---
+description: SingleNameBinding does assign name to "anonymous" functions "through" cover grammar (static class expression generator method)
+esid: sec-runtime-semantics-bindingclassdeclarationevaluation
+es6id: 14.5.15
+features: [destructuring-binding]
+flags: [generated]
+info: |
+    ClassDeclaration : class BindingIdentifier ClassTail
+
+    1. Let className be StringValue of BindingIdentifier.
+    2. Let value be the result of ClassDefinitionEvaluation of ClassTail with
+       argument className.
+    [...]
+
+    14.5.14 Runtime Semantics: ClassDefinitionEvaluation
+
+    21. For each ClassElement m in order from methods
+        a. If IsStatic of m is false, then
+        b. Else,
+           Let status be the result of performing PropertyDefinitionEvaluation for
+           m with arguments F and false.
+    [...]
+
+    14.4.13 Runtime Semantics: PropertyDefinitionEvaluation
+
+    GeneratorMethod : * PropertyName ( StrictFormalParameters ) { GeneratorBody }
+
+    1. Let propKey be the result of evaluating PropertyName.
+    2. ReturnIfAbrupt(propKey).
+    3. If the function code for this GeneratorMethod is strict mode code,
+       let strict be true. Otherwise let strict be false.
+    4. Let scope be the running execution context's LexicalEnvironment.
+    5. Let closure be GeneratorFunctionCreate(Method,
+       StrictFormalParameters, GeneratorBody, scope, strict).
+
+    9.2.1 [[Call]] ( thisArgument, argumentsList)
+
+    [...]
+    7. Let result be OrdinaryCallEvaluateBody(F, argumentsList).
+    [...]
+
+    9.2.1.3 OrdinaryCallEvaluateBody ( F, argumentsList )
+
+    1. Let status be FunctionDeclarationInstantiation(F, argumentsList).
+    [...]
+
+    9.2.12 FunctionDeclarationInstantiation(func, argumentsList)
+
+    [...]
+    23. Let iteratorRecord be Record {[[iterator]]:
+        CreateListIterator(argumentsList), [[done]]: false}.
+    24. If hasDuplicates is true, then
+        [...]
+    25. Else,
+        b. Let formalStatus be IteratorBindingInitialization for formals with
+           iteratorRecord and env as arguments.
+    [...]
+
+    13.3.3.6 Runtime Semantics: IteratorBindingInitialization
+
+    SingleNameBinding : BindingIdentifier Initializeropt
+
+    [...]
+    6. If Initializer is present and v is undefined, then
+       a. Let defaultValue be the result of evaluating Initializer.
+       b. Let v be GetValue(defaultValue).
+       c. ReturnIfAbrupt(v).
+       d. If IsAnonymousFunctionDefinition(Initializer) is true, then
+          [...]
+    7. If environment is undefined, return PutValue(lhs, v).
+    8. Return InitializeReferencedBinding(lhs, v).
+---*/
+
+var callCount = 0;
+class C {
+  static *method([cover = (function () {}), xCover = (0, function() {})]) {
+    assert.sameValue(cover.name, 'cover');
+    assert.notSameValue(xCover.name, 'xCover');
+    callCount = callCount + 1;
+  }
+};
+
+C.method([]).next();
+assert.sameValue(callCount, 1, 'method invoked exactly once');