Find mistake in the logic :
Someone created dual function f: R -> R that creates symmetry
(For that to be symmetry f(x) +f(1-x) = 1 for all x, but dual functions usually f(x) +f(1-x) \< 1, x /= 1/2)
h : R -> R prove that
h(x): ( f(x) if x=/ x1 )
( 1-f(1-x1) other cases)
Someone created dual function f: R -> R that creates symmetry
(For that to be symmetry f(x) +f(1-x) = 1 for all x, but dual functions usually f(x) +f(1-x) \< 1, x /= 1/2)
h : R -> R prove that
h(x): ( f(x) if x=/ x1 )
( 1-f(1-x1) other cases)