In TypeScript, you can infer recursive container types with dependent types using mapped and conditional types. Recursive container types often occur when you have nested data structures like trees or graphs, where each node can contain references to other nodes of the same type.

To demonstrate how to infer recursive container types, let's create a simple binary tree example:

`typescript````
// Define the binary tree node type
interface TreeNode<T> {
value: T;
left?: TreeNode<T>;
right?: TreeNode<T>;
}
// Recursive type to infer the container type
type RecursiveContainer<T> = TreeNode<RecursiveContainer<T>>;
// Example tree
const tree: RecursiveContainer<number> = {
value: 1,
left: {
value: 2,
left: {
value: 3,
},
right: {
value: 4,
},
},
right: {
value: 5,
},
};
// Example function using recursive container types
function printTreeValues<T>(node: RecursiveContainer<T>): void {
console.log(node.value);
if (node.left) {
printTreeValues(node.left);
}
if (node.right) {
printTreeValues(node.right);
}
}
printTreeValues(tree); // Output: 1, 2, 3, 4, 5
```

In this example, we define the `TreeNode<T>`

interface to represent a node in the binary tree. The `RecursiveContainer<T>`

type is defined as a recursive type, where each node contains a reference to another node of the same type. This allows us to create a binary tree with nested nodes.

By using `RecursiveContainer<number>`

, we create a binary tree with nodes that store numeric values. The `printTreeValues`

function demonstrates how we can traverse the tree and print its values.

You can adapt this approach to other recursive container structures based on your specific use case. Remember that TypeScript's type inference can only go so deep, and complex recursive container types might require additional type annotations or explicit type definitions in certain cases. However, for many common scenarios involving recursive data structures, this pattern should work effectively.