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Basic Outline of the Proof that A is a subset of B:
 
Basic Outline of the Proof that A is a subset of B:
\bullet Suppose x ∈ A
+
 
 +
&bullet Suppose x ∈ A
 
1. Say wahat it means for x to be in A
 
1. Say wahat it means for x to be in A
 
2. Mathematical details
 
2. Mathematical details
 
3. Concude that x satisfies what it means to be in B
 
3. Concude that x satisfies what it means to be in B
 
\bullet Conclude x∈B
 
\bullet Conclude x∈B

Revision as of 06:40, 25 November 2012

Proving one set is a subset of another set

Given sets A and B we say that is is a subset of B if every element of A is also an element of B, that is,

x∈A implies x∈B

Basic Outline of the Proof that A is a subset of B:

&bullet Suppose x ∈ A 1. Say wahat it means for x to be in A 2. Mathematical details 3. Concude that x satisfies what it means to be in B \bullet Conclude x∈B

Alumni Liaison

has a message for current ECE438 students.

Sean Hu, ECE PhD 2009