human
I am working on the file "ExercisesSolutions.ipynb".
The first task is:
Equivalence classes
An equivalence class is a relation that groups objects in a set into related subsets. For example, if we think of the integers modulo $7$, then $1$ is in the same equivalence class as $8$ (and $15$, and $22$, and so on), and $3$ is in the same equivalence class as $10$. We use the tilde $3 \sim 10$ to denote two objects within the same equivalence class.
Here, we are going to define the positive integers programmatically from equivalent sequences.
Exercise 1
Define a python class Eqint. This should be

Initialized by a sequence;
Store the sequence;
Define its representation (via the __repr__ function) to be the integer length of the sequence;
Redefine equality (via the __eq__ function) so that two eqints are equal if their sequences have same length.

Solution
Can you write Python code for it?

Can you provide a the Python code you requested?
assistant
#Here is the Python code you requested.

class Eqint(object):
    
    def __init__(self, sequence):
        self.sequence = sequence
        
    def __repr__(self):
        return str(len(self.sequence))
    
    def __eq__(self, other):
        return len(self.sequence)==len(other.sequence)