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Heliopole i G I j I v J l u E X F R p N g ȃT C Y ̃ l V c ͂ ̂܂܂ł H D Ă g D G A C e B V v ȃ^ N g b v ̂ق A { _ ȂǕ C ɂ ƃI V A b v I l f ނȂ̂ŁA y đu ₩ Ȓ S n ł BX ^ C O ł B f U W F b N X g C A T C Y w A b N X ̓ Y ɐl C ̃w A b N X ̃g C A T C Y oNow we have to show that y /∈ f(B) Assume to the contrary that y ∈ f(B) Then there exists x 1 ∈ B with f(x 1) = y By injectivity of f, we get x = x 1, and thus x ∈ B and x /∈ B, a contradiction This shows that y /∈ f(B), and thus y ∈ f(A)\f(B) ⊇ Let y ∈ f(A) \ f(B) Then y ∈ f(A) and y /∈ f(B) Thus there exists x
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