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piecewise defined function via def

I've made the following experiment with Sage:

    def f(x):

        if (0<= x<= 1/2):
            return 1
        else:
            return 0 
assume(0<= x<= 1/2)  
show(f(x))  
show(f(1/3))

However I get outputs 0 and 1 respectively. Can someone clarify please? Thanks.

piecewise defined function via def

I've made the following experiment with Sage:

    def f(x):

        if (0<= x<= 1/2):
            return 1
        else:
            return 0 
assume(0<= x<= 1/2)  
show(f(x))  
show(f(1/3))

However I get outputs 0 and 1 respectively. Can someone clarify please? Thanks.