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Tobias Axell edited 4b5.tex  over 9 years ago

Commit id: ce7416327f5c0f2bd2b3fc6063f7f1802893725c

deletions | additions      

       

\begin{equation}  \begin{split}  &I \a B \to  \wp{V_1 := V; S}{V < V_1}\\ \rule{2} \iff & \wp{V_{1}:=n-1}{\wp{res:=res*i}{\wp{i:=i+1}{n-i \lt V_{1}}}} \\  \rule{1} \iff & \wp{V_{1}:=n-1}{wp{res:=res*i}{n-i-1 \lt V_{1}}} \\  \rule{1} \iff & \wp{V_{1}:=n-1}{n-i-1 \lt V_{1}} \\  \rule{1} \iff & n-i-1 \lt n-i \\  \end{split}  \end{equation}  It This  is trivially true since $\forall n \in \mathbb{Z} : n - 1 < n = \T$.  It is easy to see true, meaning  that the variant decreases. \begin{equation}  \begin{split}  & I \a B \to (n-i-1 \lt n-i)  \end{split}  \end{equation}  always will be true.