<jupyter_start><jupyter_text>MatutorA math proof tutor Lets create here an abstract version of the representation of a proof tree that could be used for feedback generation.We may use the concept of partial proof tree presented by Holophrasm<jupyter_code>class Expression:
    def __init__(self):
        self.theorem_candidates = [] #Candidate theorems to generate this expression

class Theorem:
    def __init__(self, name, n_hypotheses):
        self.name
        self.n_hypotheses = n_hypotheses
        

class Proposition(Theorem):
    pass

class Axiom(Theorem):
    def __init__(self, name):
        super().__init__(name, 0)



        
class Axiom(Theorem):
    def __init__(self, name):
        super().__init__(name, 0)
        
class Proof:
    def __init__(self):<jupyter_output><empty_output>
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{'chain_length': '1', 'dir': 'jupyter-structured-clean-dedup', 'id': '35510', 'license': 'MIT', 'n_tokens_mistral': 253, 'n_tokens_neox': 235, 'n_words': 75, 'path': 'concepts.ipynb', 'repo_name': 'iolucas/matutor', 'size': '808'}