Proof: Do Expr At Unchanged 54

Let's prove the following theorem:

if the following are true:
  • expression state at time 54 = "begin_expr"
  • the expression at time 54 = p.age_in_months()

then the expression at time 55 = p.age_in_months()

Proof:

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Given
1 expression state at time 54 = "begin_expr"
2 the expression at time 54 = p.age_in_months()
Proof Table
# Claim Reason
1 the expression at time (54 + 1) = the expression at time 54 if expression state at time 54 = "begin_expr", then the expression at time (54 + 1) = the expression at time 54
2 the expression at time (54 + 1) = p.age_in_months() if the expression at time (54 + 1) = the expression at time 54 and the expression at time 54 = p.age_in_months(), then the expression at time (54 + 1) = p.age_in_months()
3 54 + 1 = 55 54 + 1 = 55
4 the expression at time (54 + 1) = the expression at time 55 if 54 + 1 = 55, then the expression at time (54 + 1) = the expression at time 55
5 the expression at time 55 = p.age_in_months() if the expression at time (54 + 1) = the expression at time 55 and the expression at time (54 + 1) = p.age_in_months(), then the expression at time 55 = p.age_in_months()

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