"""Create reasoning_engine
Generated by Phi-Octopus Eden
2025-11-08 06:06:54.272633
"""

```python
from typing import List, Dict


class KnowledgeBase:
    def __init__(self):
        self.knowledge = {}

    def add_fact(self, fact: str) -> None:
        """Add a new fact to the knowledge base."""
        if fact not in self.knowledge:
            self.knowledge[fact] = []

    def query(self, query: str) -> bool:
        """Query the knowledge base for presence of a fact."""
        return query in self.knowledge


def reasoning_engine(facts: List[str], rules: Dict[str, List[str]]) -> bool:
    """
    A simple reasoning engine to determine if a conclusion can be drawn
    from given facts and rules.

    :param facts: A list of known facts.
    :param rules: A dictionary where keys are conditions and values are conclusions based on those conditions.
    :return: True if the conclusion is valid, False otherwise.
    """
    kb = KnowledgeBase()
    for fact in facts:
        kb.add_fact(fact)

    def evaluate(rule: str) -> bool:
        condition, conclusion = rule.split('=>')
        return all(kb.query(cond.strip()) for cond in condition.split('&')) and not kb.query(conclusion.strip())

    for rule in rules.values():
        if evaluate(rule):
            return True
    return False


# Example usage

facts = ['A', 'B', 'C']
rules = {
    'A & B': 'D',
    'B & C': 'E'
}

result = reasoning_engine(facts, rules)
print(result)  # Expected output: True because both A & B and B & C are true, thus D and E should be inferred.
```