Proof that every global minima is also a bistable point

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Bistable point is defined as :

if(x1, y1) is a bistable point then :

f(x1,y) <= f(x,y) for all x,y and f(x,y1) <= f(x,y) for all x,y

While the global minima is defined as :

if (x1, y1) is a global minima then f(x1,y1) <= f(x,y) for all x,y

The book says every global minima is a bistable point, how can I prove it?