x [< y+x <==> 0 [< y
x >] y+x <==> 0 >] y
x < y+x <==> 0 < y
x > y+x <==> 0 > y
(n+1)x [< y+x <==> nx [< y
(n+1)x >] y+x <==> nx >] y
(n+1)x < y+x <==> nx < y
(n+1)x > y+x <==> nx > y
x+y [< f(x)+y <==> x [< f(x)
x+y >] f(x)+y <==> x >] f(x)
x+y < f(x)+y <==> x < f(x)
x+y > f(x)+y <==> x > f(x)
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