| 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:''' | ||
| − | · Suppose x ∈ A | + | · Suppose x ∈ A |
1. Say what it means for x to be in A | 1. Say what it means for x to be in A | ||
2. Mathematical details | 2. Mathematical details | ||
3. Conclude that x satisfies what it means to be in B | 3. Conclude that x satisfies what it means to be in B | ||
| − | + | \bullet; Conclude x∈B | |
Revision as of 07:46, 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:
· Suppose x ∈ A 1. Say what it means for x to be in A 2. Mathematical details 3. Conclude that x satisfies what it means to be in B \bullet; Conclude x∈B
