Is tayammum (dry ablution with clean earth) permissible when water is available, but there is fear of the cold?

Question:
Is tayammum (dry ablution with clean earth) permissible when water is available, but there is fear of the cold?

Answer:
If the cold is severe, and one fears harm from using water, and he has nothing to warm the water with, such as being in a desert?
Or in a place where there is nothing to warm the water and remove its coldness, then there is no harm in performing tayammum (dry ablution with clean earth) with clean earth or soil and praying, in order to avert harm. This is like the story of 'Amr ibn al-'As (may Allah be pleased with him), who was traveling with his companions until he experienced a wet dream. The weather was very cold, so he feared for himself if he performed ghusl (the full ritual bath). He performed tayammum (dry ablution with clean earth) and led his companions in the Fajr (the dawn prayer) prayer. When the Prophet (peace and blessings be upon him) was informed of this, he did not disapprove of it, nor did he order him to repeat the prayer. Yes.