Suppose that A, B, C and D are sets, R is a relation between A and B
(i.e., R ⊆ A x B), S is a relation between B and C and T is a relation
between C and D. Show the following:
(a) R ¤ (S ¤ T) = (R ¤ S) ¤ T.
(b) (R ¤ S)⁻¹ = S⁻¹ ¤ R⁻¹ .
Please help
Suppose that A, B, C and D are sets, R is a relation between A and B
(i.e., R ⊆ A x B), S is a relation between B and C and T is a relation
between C and D. Show the following:
(a) R ¤ (S ¤ T) = (R ¤ S) ¤ T.
(b) (R ¤ S)⁻¹ = S⁻¹ ¤ R⁻¹ .
Please help
If think then you have it backwards.
exists but does not.
Because relates and relates .
So it must be .
Unless your text material is completely non-standard.
It is usual for compositions to read right to left.
Post Script
Do you understand what I have posted?
If then if then
exists BUT may not.
By definition .
That means that