Question

докажите ,что,если с|b , а b|a , то c|a

Answer 1

Решение смотреть во вложении

Answer 2

Proof: If a | b and b | c, then a | c

To prove that if a | b and b | c, then a | c, we need to show that if a divides b and b divides c, then a divides c.

Let's assume that a | b and b | c. This means that there exist integers x and y such that ax = b and by = c.

To prove that a | c, we need to show that there exists an integer z such that az = c.

We can substitute the values of b and c in terms of a, x, y, and z:

ax = b by = c

Substituting b in terms of a and x: ax = ayx = c

Since yx is an integer, we can let z = yx. Therefore, az = c.

Hence, we have shown that if a | b and b | c, then a | c.