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This contradicts the convexity of the indifference curve.
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If there exists τ ∈ ( η n, 1 ) such that u > 0, then u ( 0 ) = u ( η n ) = 0 and u > 0, which contradicts with the convexity of u.
A contradiction to the convexity of follows.
"It not only contradicts Afghan laws, it contradicts the international principles of freedom of speech".
which contradicts the concavity of.
This contradicts the range of.
This contradicts the results of earlier studies.
This then contradicts the minimality of K.
Now, so, which contradicts the maximality of.
This contradicts the definition of β.
This contradicts the maximality of (r_{W}).
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