"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-08 03:19:08.240038
"""

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

class FactChecker:
    """
    A simple fact-checking class that verifies if a given statement is supported by evidence.
    
    Attributes:
        knowledge_base (Dict[str, bool]): Stores the truth value of facts indexed by their names.
    """
    
    def __init__(self):
        self.knowledge_base = {}
        
    @lru_cache(maxsize=1024)
    def verify_fact(self, fact_name: str) -> bool:
        """Check if a given fact is true based on the knowledge base."""
        return self.knowledge_base.get(fact_name, False)
    
    def add_fact(self, fact_name: str, truth_value: bool) -> None:
        """Add or update a fact in the knowledge base."""
        self.knowledge_base[fact_name] = truth_value
    
    @lru_cache(maxsize=256)
    def check_reasoning(self, statement: str, required_facts: List[str]) -> bool:
        """
        Check if a complex statement can be proven by checking its constituent facts.
        
        Args:
            statement (str): The complex statement to verify.
            required_facts (List[str]): A list of fact names needed to evaluate the statement.

        Returns:
            bool: True if all required facts are true, False otherwise.
        """
        for fact in required_facts:
            if not self.verify_fact(fact):
                return False
        return True

# Example usage
def main():
    checker = FactChecker()
    
    # Add some basic facts to the knowledge base
    checker.add_fact("is_raining", True)
    checker.add_fact("temp_is_above_freezing", True)
    
    # Check a simple fact
    print(checker.verify_fact("is_raining"))  # Output: True
    
    # Define more complex statements and their required facts
    checker.add_fact("can_go_outside", lambda: 
                     checker.check_reasoning(
                         "can_go_outside", ["is_raining", "temp_is_above_freezing"]
                     )
    )
    
    print(checker.verify_fact("can_go_outside"))  # Output: True
    
if __name__ == "__main__":
    main()
```

This Python code defines a `FactChecker` class with methods to verify and add facts, as well as check complex statements based on multiple required facts. The example usage demonstrates adding simple facts and using them to determine more complex reasoning capabilities.