Prove the following theory:
1) R1 is a subset of R2 => All of R3, R1R3 is a subset of R2R3 and
2) R1 is a subset of R2 => All of n, (R1)^n is a subset (R2)^n
3) Suppose R is transitive, then for all of n, R^n is a subset of R.
Mathematics Homework Solutions
#24503
Prove the Transitive Theory
Prove the following theory:
1) R1 is a subset of R2 => All of R3, R1R3 is a subset of R2R3 and
2) R1 is a subset of R2 => All of n, (R1)^n is a subset (R2)^n
3) Suppose R is transitive, then for all of n, R^n is a subset of R.
A transitive theory is proven. The solution is detailed and well presented.
What is this?
By OTA - Overall OTA Rating
Changping Wang, MA - 4.9/5
Purchase Cost Now
$2.19 CAD (was ~$7.98)
Included in Download
- Plain text response
- Attached file(s):
- proof.doc
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Relations - For each case, think of a set S and a binary relation p on S for - A. p is reflexive and symmetric but not transitive b. p is reflexive and transitive but not symmetric c. p is reflexive bu ...
- Binary Relations : Reflexive and Transitive, but not Antisymmetric - Give an example of or else prove that there are no relations on {a,b,c} that is reflexive and transitive, but not antisymmetric.
- Discrete mathematics - Find a transitive closure of the relation R on {a,b,c,d,e} given by R= {(a,b), (a,c), (a,e),(b,a), (b,c),(c,a), (c,b),(d,a,),(e,d)}
- Binary Relations : Reflexive, Symmetric, Antisymmetric, and/or Transitive - Determine whether the binary relation R on Z, where aRb means |a-b| <= 1, is reflexive, symmetric, antisymmetric, and/or transitive.
- Binary relations - Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is - Reflexive and symmetric but not transitive - Reflexive, but neith ...
