Proof: Get Iterate Expr 5

Let's prove the following theorem:

if the following are true:
  • expression state at time 5 = "iterate_args"
  • arguments stack at time 5 = [ [ 3, [ ] ], [ ] ]

then the expression at time 6 = 3

Proof:

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Given
1 expression state at time 5 = "iterate_args"
2 arguments stack at time 5 = [ [ 3, [ ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (5 + 1) = 3 if expression state at time 5 = "iterate_args" and arguments stack at time 5 = [ [ 3, [ ] ], [ ] ], then the expression at time (5 + 1) = 3
2 5 + 1 = 6 5 + 1 = 6
3 the expression at time (5 + 1) = the expression at time 6 if 5 + 1 = 6, then the expression at time (5 + 1) = the expression at time 6
4 the expression at time 6 = 3 if the expression at time (5 + 1) = the expression at time 6 and the expression at time (5 + 1) = 3, then the expression at time 6 = 3

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