Universal Quantification:  Function: for_all(expr,variables,condition)

·        [image: http://reference.wolfram.com/chars/ForAll.gif]xexpr which 
says that expr holds for all values of x for this the function looks like 
for_all(expr,var) where var=Tuple(x) 

this returns an assertion based on the expr and the values of x.

·        [image: http://reference.wolfram.com/chars/ForAll.gif]{x1,x2,...}expr 
which says that expr holds for all values of x for this the function looks 
like for_all(expr,var) where var=(x1,x2,x3….) this returns an assertion 
based on the expr and the values of x1,x2,x3...

·        [image: http://reference.wolfram.com/chars/ForAll.gif]x,condexpr 
which says that expr holds for all values of x which satisfy the condition 
for this the function looks like for_all(expr,var) where var=(x1,x2,x3….) 
this returns an assertion based on the expr and the values of x1,x2,x3...

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