| Line 6: | Line 6: | ||
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 | ||
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
