Proof: Get Iterate Expr 36

Let's prove the following theorem:

if the following are true:
  • expression state at time 36 = "iterate_args"
  • arguments stack at time 36 = [ [ last_name, [ ] ], [ ] ]

then the expression at time 37 = last_name

Proof:

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Given
1 expression state at time 36 = "iterate_args"
2 arguments stack at time 36 = [ [ last_name, [ ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (36 + 1) = last_name if expression state at time 36 = "iterate_args" and arguments stack at time 36 = [ [ last_name, [ ] ], [ ] ], then the expression at time (36 + 1) = last_name
2 36 + 1 = 37 36 + 1 = 37
3 the expression at time (36 + 1) = the expression at time 37 if 36 + 1 = 37, then the expression at time (36 + 1) = the expression at time 37
4 the expression at time 37 = last_name if the expression at time (36 + 1) = the expression at time 37 and the expression at time (36 + 1) = last_name, then the expression at time 37 = last_name

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