"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-05 20:28:39.879192
"""

```python
from typing import List
from functools import lru_cache


class FactChecker:
    """
    A class for checking the validity of statements based on a given set of facts.
    
    Attributes:
        facts (List[str]): A list of known facts to be used in validation.

    Methods:
        __init__(self, facts: List[str]):
            Initializes the FactChecker with a set of facts.
        
        is_fact_valid(self, statement: str) -> bool:
            Returns True if the given statement can be validated as true based on the facts, False otherwise.
    
    Example usage:
    >>> checker = FactChecker(["Paris is in France", "Water boils at 100 degrees Celsius"])
    >>> print(checker.is_fact_valid("Paris is not in France"))
    False
    >>> print(checker.is_fact_valid("Water freezes at 0 degrees Celsius"))
    False
    """
    
    def __init__(self, facts: List[str]):
        self.facts = {fact for fact in facts}
        
    @lru_cache(maxsize=128)
    def is_fact_valid(self, statement: str) -> bool:
        return any(statement.startswith(fact) for fact in self.facts)


# Example usage
checker = FactChecker(["Paris is in France", "Water boils at 100 degrees Celsius"])
print(checker.is_fact_valid("Paris is not in France"))  # False
print(checker.is_fact_valid("Water freezes at 0 degrees Celsius"))  # False
```