Proof: Get Iterate Expr 69

Let's prove the following theorem:

if the following are true:
  • expression state at time 69 = "iterate_args"
  • arguments stack at time 69 = [ [ 12, [ ] ], [ ] ]

then the expression at time 70 = 12

Proof:

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Given
1 expression state at time 69 = "iterate_args"
2 arguments stack at time 69 = [ [ 12, [ ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (69 + 1) = 12 if expression state at time 69 = "iterate_args" and arguments stack at time 69 = [ [ 12, [ ] ], [ ] ], then the expression at time (69 + 1) = 12
2 69 + 1 = 70 69 + 1 = 70
3 the expression at time (69 + 1) = the expression at time 70 if 69 + 1 = 70, then the expression at time (69 + 1) = the expression at time 70
4 the expression at time 70 = 12 if the expression at time (69 + 1) = the expression at time 70 and the expression at time (69 + 1) = 12, then the expression at time 70 = 12

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