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diff --git a/subprojects/viatra-runtime/src/main/java/tools/refinery/viatra/runtime/matchers/context/InputKeyImplication.java b/subprojects/viatra-runtime/src/main/java/tools/refinery/viatra/runtime/matchers/context/InputKeyImplication.java
new file mode 100644
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--- /dev/null
+++ b/subprojects/viatra-runtime/src/main/java/tools/refinery/viatra/runtime/matchers/context/InputKeyImplication.java
@@ -0,0 +1,103 @@
+/*******************************************************************************
+ * Copyright (c) 2010-2015, Bergmann Gabor, Istvan Rath and Daniel Varro
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License v. 2.0 which is available at
+ * http://www.eclipse.org/legal/epl-v20.html.
+ * 
+ * SPDX-License-Identifier: EPL-2.0
+ *******************************************************************************/
+package tools.refinery.viatra.runtime.matchers.context;
+
+import java.util.ArrayList;
+import java.util.Collections;
+import java.util.List;
+
+/**
+ * Data object representing the implication of an input key, in use cases including edge supertypes, edge opposites, node type constraints, etc.
+ * 
+ * <p> Each instance tuple of the <i>implying input key</i> (if given) implies the presence of an instance tuple of the <i>implied input key</i> consisting of elements of the original tuple at given positions.
+ * When the input key is null, it is not an input constraint but some other source that implies input keys.
+ * 
+ * <p> The implication is an immutable data object.
+ * 
+ * @author Bergmann Gabor
+ *
+ */
+public final class InputKeyImplication {
+    private IInputKey implyingKey;
+    private IInputKey impliedKey;
+    private List<Integer> impliedIndices;
+
+    /**
+     * Optional. Instance tuples of this input key imply an instance tuple of another key. 
+     * Sometimes it is not an input key that implies other input keys, so this attribute can be null.
+     */
+    public IInputKey getImplyingKey() {
+        return implyingKey;
+    }
+    /**
+     * An instance tuple of this input key is implied by another key.
+     */
+    public IInputKey getImpliedKey() {
+        return impliedKey;
+    }
+    /**
+     * The implied instance tuple consists of the values in the implying tuple at these indices.
+     */
+    public List<Integer> getImpliedIndices() {
+        return impliedIndices;
+    }
+    /**
+     * @param implyingKey instance tuples of this input key imply an instance tuple of the other key.
+     * @param impliedKey instance tuple of this input key is implied by the other key.
+     * @param implyingIndices the implied instance tuple consists of the values in the implying tuple at these indices.
+     */
+    public InputKeyImplication(IInputKey implyingKey, IInputKey impliedKey,
+            List<Integer> implyingIndices) {
+        super();
+        this.implyingKey = implyingKey;
+        this.impliedKey = impliedKey;
+        this.impliedIndices = Collections.unmodifiableList(new ArrayList<>(implyingIndices));
+    }
+    
+    @Override
+    public int hashCode() {
+        final int prime = 31;
+        int result = 1;
+        result = prime * result
+                + ((impliedIndices == null) ? 0 : impliedIndices.hashCode());
+        result = prime * result
+                + ((impliedKey == null) ? 0 : impliedKey.hashCode());
+        result = prime * result
+                + ((implyingKey == null) ? 0 : implyingKey.hashCode());
+        return result;
+    }
+    @Override
+    public boolean equals(Object obj) {
+        if (this == obj)
+            return true;
+        if (obj == null)
+            return false;
+        if (!(obj instanceof InputKeyImplication))
+            return false;
+        InputKeyImplication other = (InputKeyImplication) obj;
+        if (impliedIndices == null) {
+            if (other.impliedIndices != null)
+                return false;
+        } else if (!impliedIndices.equals(other.impliedIndices))
+            return false;
+        if (impliedKey == null) {
+            if (other.impliedKey != null)
+                return false;
+        } else if (!impliedKey.equals(other.impliedKey))
+            return false;
+        if (implyingKey == null) {
+            if (other.implyingKey != null)
+                return false;
+        } else if (!implyingKey.equals(other.implyingKey))
+            return false;
+        return true;
+    }
+
+
+}