"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-06 00:46:13.491688
"""

```python
from typing import List, Dict, Optional

class FactChecker:
    """
    A simple fact-checking capability that verifies if a list of statements are true or false based on predefined facts.

    Attributes:
        facts (Dict[str, bool]): A dictionary containing known facts where keys are the statements and values are booleans indicating truthiness.
    """

    def __init__(self, initial_facts: Dict[str, bool]):
        """
        Initialize the FactChecker with a set of initial facts.

        Args:
            initial_facts (Dict[str, bool]): Initial known facts to start with.
        """
        self.facts = initial_facts

    def check_fact(self, statement: str) -> Optional[bool]:
        """
        Check if a given statement is true or false based on the current set of facts.

        Args:
            statement (str): The statement to check for truthiness.

        Returns:
            Optional[bool]: True if the fact is known to be true, False if known to be false, None if unknown.
        """
        return self.facts.get(statement)

    def add_fact(self, statement: str, value: bool) -> None:
        """
        Add a new fact or update an existing one.

        Args:
            statement (str): The statement to add or update.
            value (bool): The truthiness of the given statement.
        """
        self.facts[statement] = value

    def remove_fact(self, statement: str) -> None:
        """
        Remove a fact from the set of known facts.

        Args:
            statement (str): The statement to remove.
        """
        if statement in self.facts:
            del self.facts[statement]

def example_usage():
    # Example usage of FactChecker
    initial_facts = {"Paris is the capital of France": True, "The moon orbits around Earth": True}
    fact_checker = FactChecker(initial_facts)

    print(fact_checker.check_fact("Paris is the capital of France"))  # Output: True
    print(fact_checker.check_fact("India is a country in Europe"))  # Output: None

    fact_checker.add_fact("India is a country", True)
    print(fact_checker.check_fact("India is a country"))  # Output: True

    fact_checker.remove_fact("Paris is the capital of France")
    print(fact_checker.check_fact("Paris is the capital of France"))  # Output: None


if __name__ == "__main__":
    example_usage()
```

This code implements a simple `FactChecker` class that can verify statements against a set of predefined facts. It includes methods to check, add, and remove facts, as well as an example usage function.