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The same can be shown for product and difference to complete the proof of the proposition.
We will sketch the proof since it uses (5).
They will be useful for the proof of the existence of an equilibrium-supporting price system.
We then extend the proof to plans of all classes.
Before we plunge into the proof of (4.37), we give a quick overview of our strategy.
Additional copies, not exceeding 200, may be had at cost price : these should be ordered when the final proof is returned.
However, thanks to the use of conformal geometric algebra the proof of this theorem was reduced to one step shown by (47).
We first tried to adapt these systems to proof systems.
This latter approach is favoured in semantical investigations as it renders no proof-theoretical problems when forming term models.
As there many cases and subcases, we sketch the general proof and then present in detail two of them.
We omit its proof since the proof is straightforward.
The proof of the next result is straightforward and omitted.
We leave the straightforward proof of this to the reader.
The proof of the following result is straightforward.
The proof for the case of a continuously stratified fluid between rigid boundaries is straightforward.
