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Next, we prove Proposition 3.4.
We will prove Proposition 1 as follows.
We are now in the position to prove Proposition 2.2.
To prove Proposition 2.1, we need the following lemmas.
Nevertheless, by straightforward computations we can prove: Proposition 1.
In order to prove Proposition 7, we need some preliminaries(see Nualart [28]).
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For the sake of completeness, we prove Propositions 1-3.
Just as the aim of the geometer is to solve geometrical problems (construct figures or prove theorems), so too Aristotle was concerned to solve logical problems (construct arguments or prove propositions).
This proves Proposition 1.
This thus proves Proposition 3.1.
This finally proves proposition 5. □.
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