Can you help me interpret the following statements concering red-black trees. Can you state if they are either true or false. If true, provide proof, if false, provide a counter example including an actual red-black tree1.There exists a subtree of a red-black tree is itself truly a red-black tree 2. There exists a sibling of an external node that is either external or red 3. There exists a unique red-black tree that is associated with a given 2-4 tree 4. There exists a unique 2-4 tree associated with a given red-black tree.

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