"""Create fact_checker
Generated by Phi-Octopus Eden
2025-11-07 06:32:37.977763
"""

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

class FactChecker:
    """
    A class for checking the validity of facts based on a given set of rules.
    
    Attributes:
        rule_set (Set[str]): The set of rules that define valid fact conditions.
    """

    def __init__(self, rule_set: Set[str]):
        self.rule_set = rule_set

    @lru_cache(maxsize=1024)
    def is_fact_valid(self, fact: str) -> bool:
        """
        Determines if a given fact is valid according to the set of rules.
        
        Args:
            fact (str): The fact string to check for validity.

        Returns:
            bool: True if the fact is valid, False otherwise.
        """
        # Example rule: fact must contain at least one digit
        return any(char.isdigit() for char in fact) and self._check_rules(fact)

    def _check_rules(self, fact: str) -> bool:
        """
        Checks additional rules defined by the set of rules.
        
        Args:
            fact (str): The fact string to check against the rules.

        Returns:
            bool: True if all rules are satisfied, False otherwise.
        """
        for rule in self.rule_set:
            try:
                # Convert the rule into a function based on its syntax
                eval_rule = compile(f"lambda x: {rule}", "<string>", "eval")
                if not eval_rule(fact):
                    return False
            except Exception as e:
                print(f"Error evaluating rule '{rule}': {e}")
        return True

# Example usage:
if __name__ == "__main__":
    rules = {"len(x) > 10", "x.count('a') >= 2", "x.endswith('y')"}
    checker = FactChecker(rule_set=rules)
    
    facts = [
        "This is a valid fact with enough As and ending in y and digit",
        "Short fact",
        "Invalid as it doesn't contain 'a'",
        "Another valid one with ayy123"
    ]
    
    for f in facts:
        print(f"Is '{f}' a valid fact? {checker.is_fact_valid(f)}")
```

This code defines a `FactChecker` class that checks the validity of string facts based on predefined rules. The rules are passed as a set of strings and evaluated using Python's `eval` function, allowing for flexible rule specification. The `_check_rules` method is used to apply these rules, and caching is implemented via `lru_cache` to optimize repeated evaluations.