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This can be proved with the help of De Morgan's laws, named after the English mathematician and logician Augustus De Morgan (1806 71).
No charges were brought against the brother-in-law because under the Islamic statutes in use here, called zina, rape can only be proved with the testimony of four male witnesses, a standard that is almost impossible to meet.
The other case can be proved with the same principle.
Similarly, formula (15) can be proved with the aid of (20) and by (19).
Remark 2.1 The deformation lemma can be proved with the weaker condition (C) replacing the usual (PS) condition [16].
The corresponding result for ((y(t))) can be proved with the same technique and we omit it.
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Among the well-known inequalities which can be proved with this technique are the Löwner–Heinz inequality, inequalities relating various operator means and the Corach Porta Recht inequality.
And that's never going to be proven with the facts you hear".
"This needs to be proven with the next step, which is a randomized controlled trial," he said.
The question was whether metaphysical principles, specifically the principles of natural theology and morals, could be proven with the same clarity and precision as the truths of geometry.
It could be related to increased concentrations of atmospheric carbon dioxide, but that can't be proven with the limited amount of climate data now available, she notes.
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