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All you are showing is that the saturation humidity becomes low, not zero. Here is some real data (9 km = 30,000 feet). http://www.climate4you.com/images/NOAA%20ESRL%20AtmospericRelativeHumidity%20GlobalMonthlyTempSince1948%20With37monthRunningAverage.gif Back off and learn. I am an aeronautical engineer and I happen to know my material.
Do you realize that the tropopause lies at 9 to 17 km altitude? That is the altitude to which the highest clouds can ascend. Clouds consist of non-gaseous water. They persist. Don't be so stupid as to deny what happens in nature. If the vapor pressure of the ice is lower than the partial pressure of the ambient water vapor, the ice will not sublime.