On the documentation page https://docs.python.org/3/library/stdtypes.html the header 'Boolean Operations — and, or, not' provides a table (attached as an image). 

It states: 

a.1) x OR y - if x is false, then y, else x **
a.2) x AND y - if x is false, then x, else y **

When I read this i intuit the following

b.1) x OR y - if x is false, then x, else y
b.2) x AND y - if x is false, then y, else x

Providing an example with a.1 which is currently listed in the documentation

If x is false -> else x = False (we don't check if Y=True which is the definition of an OR operator). 

** This is a short-circuit operator, so it only evaluates the second argument if the first one is false.

I would appreciate clarification on this and if others see an issue with the documentation after reading my description able then movement on consensus to correct the documentation

A short circuit operator. 

x OR y - if x is false, then y, else x (1). 

(1) This is a short-circuit operator, so it only evaluates the second argument if the first one is false.

The first argument is 'if'
The second argument is 'then'
The third argument is 'else'

Move to the second argument if the first is false. 
Evaluate the first argument 'if x is false' - look at the second argument if the first argument is false - 'then y'.