Proof: Transitive Property Application 6
Let's prove the following theorem:
if the following are true:
- a = b
- b = c
- c = d
- d = e
- e = f
- f = g
then a = g
Proof:
Given
1 | a = b |
---|---|
2 | b = c |
3 | c = d |
4 | d = e |
5 | e = f |
6 | f = g |
# | Claim | Reason |
---|---|---|
1 | a = f | if e = f and d = e and c = d and b = c and a = b, then a = f |
2 | a = g | if f = g and a = f, then a = g |
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