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A scaled vector then fulfills the conditions Sv′′ = 0 and v k ′′ = d k and we arrive at contradiction that c T v′′ < r = min c T v.
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But how can a construction that from the assumption p arrives at a contradiction, and therefore generally speaking not at q, lead to q?
We arrive at another contradiction.
Thus we arrive at a contradiction.
So, we have arrived at a contradiction.
Then we arrive at a contradiction.
Thus we have arrived at a contradiction.
Thus, we arrive at a contradiction and hence the result.
Hence we arrive at a contradiction with the ψ function.
So we arrive at the contradiction, which proves the property.
Again we may arrive at a contradiction as above.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com