How do comparisons such as 2 == 2 > 1 work?

• operator_chaining
• chaining

From 6.10 - Comparisons:

Comparisons can be chained arbitrarily, e.g., x < y <= z is equivalent to x < y and y <= z

This is true even for comparison operators that don’t have greater-than or less-than symbols, such as == or in.

• Why does this not work as an array membership test?
• Why does the expression 0 < 0 == 0 return False in Python?