Proof: Write Assign End Stack 76

Let's prove the following theorem:

if the following are true:
  • the line at time 76 = 9
  • the tab at time 76 = 0
  • statement at line 9, tab 0 = age = p.age_in_months()
  • stack at time 76 = [ ]
  • expression state at time 76 = "end_expr"

then stack at time 77 = [ ]

Proof:

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Given
1 the line at time 76 = 9
2 the tab at time 76 = 0
3 statement at line 9, tab 0 = age = p.age_in_months()
4 stack at time 76 = [ ]
5 expression state at time 76 = "end_expr"
Proof Table
# Claim Reason
1 stack at time (76 + 1) = stack at time 76 if the line at time 76 = 9 and the tab at time 76 = 0 and statement at line 9, tab 0 = age = p.age_in_months() and expression state at time 76 = "end_expr", then stack at time (76 + 1) = stack at time 76
2 stack at time (76 + 1) = [ ] if stack at time (76 + 1) = stack at time 76 and stack at time 76 = [ ], then stack at time (76 + 1) = [ ]
3 76 + 1 = 77 76 + 1 = 77
4 stack at time (76 + 1) = stack at time 77 if 76 + 1 = 77, then stack at time (76 + 1) = stack at time 77
5 stack at time 77 = [ ] if stack at time (76 + 1) = stack at time 77 and stack at time (76 + 1) = [ ], then stack at time 77 = [ ]

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