| Line 7: | Line 7: | ||
Basic Outline of the Proof that A is a subset of B: | Basic Outline of the Proof that A is a subset of B: | ||
| − | & | + | &mdot 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. | + | 3. Conclude that x satisfies what it means to be in B |
| − | + | &mbullet Conclude x∈B | |
Revision as of 07:41, 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:
&mdot Suppose x ∈ A 1. Say wahat it means for x to be in A 2. Mathematical details 3. Conclude that x satisfies what it means to be in B &mbullet Conclude x∈B
