Proof: Do Expr At Unchanged 3
Let's prove the following theorem:
if the following are true:
- expression state at time 3 = "begin_expr"
- the expression at time 3 = entry "ES": "Estonia"
then the expression at time 4 = entry "ES": "Estonia"
Proof:
Given
1 | expression state at time 3 = "begin_expr" |
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2 | the expression at time 3 = entry "ES": "Estonia" |
# | Claim | Reason |
---|---|---|
1 | the expression at time (3 + 1) = the expression at time 3 | if expression state at time 3 = "begin_expr", then the expression at time (3 + 1) = the expression at time 3 |
2 | the expression at time (3 + 1) = entry "ES": "Estonia" | if the expression at time (3 + 1) = the expression at time 3 and the expression at time 3 = entry "ES": "Estonia", then the expression at time (3 + 1) = entry "ES": "Estonia" |
3 | 3 + 1 = 4 | 3 + 1 = 4 |
4 | the expression at time (3 + 1) = the expression at time 4 | if 3 + 1 = 4, then the expression at time (3 + 1) = the expression at time 4 |
5 | the expression at time 4 = entry "ES": "Estonia" | if the expression at time (3 + 1) = the expression at time 4 and the expression at time (3 + 1) = entry "ES": "Estonia", then the expression at time 4 = entry "ES": "Estonia" |
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