Proof: Get Iterate Expr 17

Let's prove the following theorem:

if the following are true:
  • expression state at time 17 = "iterate_args"
  • arguments stack at time 17 = [ [ 9, [ ] ], [ ] ]

then the expression at time 18 = 9

Proof:

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Given
1 expression state at time 17 = "iterate_args"
2 arguments stack at time 17 = [ [ 9, [ ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (17 + 1) = 9 if expression state at time 17 = "iterate_args" and arguments stack at time 17 = [ [ 9, [ ] ], [ ] ], then the expression at time (17 + 1) = 9
2 17 + 1 = 18 17 + 1 = 18
3 the expression at time (17 + 1) = the expression at time 18 if 17 + 1 = 18, then the expression at time (17 + 1) = the expression at time 18
4 the expression at time 18 = 9 if the expression at time (17 + 1) = the expression at time 18 and the expression at time (17 + 1) = 9, then the expression at time 18 = 9

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