deletions | additions       diff --git a/This_example_shows_that_Theorem__.tex b/This_example_shows_that_Theorem__.tex  index cc6b221..29d7827 100644  --- a/This_example_shows_that_Theorem__.tex  +++ b/This_example_shows_that_Theorem__.tex 
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This example shows that direction $1\RIGHTARROW 2$ of  Theorem \ref{theorem:opinion} does not hold for resistant BDPs. One BDPs:   %One  direction still does: if there is no disagreement in the cycles, then the BDP converges, but the converse fails: some Some  resistant BDPs stabilize even when there is disagreement within a cycle. Intuitively, resistant BDPs with disagreements in cycles which stabilize do so because their cycles are not "synchronized". In the above example, given the constraint $p\leftrightarrow\neg q$, the only way to get stabilization starting from a situation respecting the constraint is to have a cycle of influence for $q$ which goes in \emph{the opposite direction} from the one from $p$, all other cases would amount to violate the constraint.