"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-07 10:38:51.691851
"""

```python
from typing import List, Dict

class FactChecker:
    """
    A simple fact-checking tool that verifies facts based on predefined rules.
    """

    def __init__(self):
        self.rules = []

    def add_rule(self, rule: str) -> None:
        """
        Adds a new verification rule to the checker.

        :param rule: A string representing a verification rule.
        """
        self.rules.append(rule)

    def check_facts(self, facts: List[str]) -> Dict[str, bool]:
        """
        Checks if each fact in the given list satisfies all predefined rules.

        :param facts: A list of strings representing facts to be checked.
        :return: A dictionary where keys are the facts and values are boolean results indicating validity.
        """
        results = {fact: True for fact in facts}
        
        for rule in self.rules:
            for fact in facts.copy():
                if not eval(rule, {}, {"fact": fact}):
                    results[fact] = False
                    facts.remove(fact)
        
        return results

# Example usage
if __name__ == "__main__":
    checker = FactChecker()
    
    # Define rules
    checker.add_rule("len(fact) > 5")  # Check if the length of fact is greater than 5 characters
    
    # List of facts to check
    facts_to_check = ["apple", "banana", "cat", "dog", "elephant"]
    
    # Perform checks and print results
    results = checker.check_facts(facts_to_check)
    for fact, valid in results.items():
        print(f"{fact}: {'Valid' if valid else 'Invalid'}")
```

This code defines a `FactChecker` class that allows adding verification rules and checking facts against these rules. The example usage at the bottom demonstrates how to use this capability to verify a list of simple string facts based on predefined rules.