In Python, comparison operators not only have the same priority, they are processed specially (they are more likely chains than groups). From the documentation :
Formally, if a, b, c, ..., y, z are expressions, and op1, op2, ..., opN are comparison operators, then a op1 b op2 c ... y opN z equivalent to a op1 b and b op2 c and ... and y opN z , except that each expression is evaluated no more than once.
In your case, the expression
3<4 == 2<3
equivalently
3 < 4 and 4 == 2 and 2 < 3
what is False because of the second sentence.
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