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Yes it is indeed true and this phenomena is known as the triple point.
It occurs when the pressure and the temperature are just right for all the three states- Liquid, solid and water, of a substance to coexist in thermodynamic equilibrium.
The single combination of pressure and temperature at which liquid water, solid ice, and water vapour can coexist in a stable equilibrium occurs at exactly 0.01 °C(273.16 K) and a partial vapor pressure of 611.657 pascals.
At this point, water can exist in all three states!
Following is the video for reference
Oh come on, all that is happening, if you look closely enough is this. You have boiling water freezing, you notice that the ice wins, right? This is no different than tossing a pot of boiling water out in -15° weather. Now do this with a full flask of water, then I will be impressed.