"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-08 08:45:13.333320
"""

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

class FactChecker:
    """
    A simple fact checking class that verifies statements against a provided knowledge base.
    
    Attributes:
        knowledge_base (Dict[str, bool]): A dictionary mapping statements to their truth values.
    """

    def __init__(self, knowledge_base: Dict[str, bool]):
        self.knowledge_base = knowledge_base

    @lru_cache(maxsize=1024)
    def verify_statement(self, statement: str) -> bool:
        """
        Verify the truth value of a given statement.

        Args:
            statement (str): The statement to be verified.

        Returns:
            bool: True if the statement is true in the knowledge base, False otherwise.
        """
        return self.knowledge_base.get(statement, False)

    def check_statements(self, statements: List[str]) -> List[bool]:
        """
        Check multiple statements against the knowledge base and return their truth values.

        Args:
            statements (List[str]): A list of statements to be verified.

        Returns:
            List[bool]: A list containing True or False for each statement.
        """
        results = []
        for statement in statements:
            result = self.verify_statement(statement)
            results.append(result)
        return results

# Example Usage
if __name__ == "__main__":
    knowledge_base = {
        "The Earth orbits the Sun": True,
        "Cats can fly": False,
        "Water boils at 100 degrees Celsius": True
    }
    
    fact_checker = FactChecker(knowledge_base)
    
    statements_to_check = [
        "The Earth orbits the Sun",
        "Cats can fly",
        "Water boils at 100 degrees Celsius"
    ]
    
    results = fact_checker.check_statements(statements_to_check)
    for statement, is_true in zip(statements_to_check, results):
        print(f"{statement}: {is_true}")
```

This code defines a `FactChecker` class capable of verifying the truth value of statements based on a provided knowledge base. It includes methods to check individual and multiple statements efficiently using memoization via `lru_cache`.