Proof: Get Iterate Expr 54

Let's prove the following theorem:

if the following are true:
  • expression state at time 54 = "iterate_args"
  • arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ]

then the expression at time 55 = 5

Proof:

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Given
1 expression state at time 54 = "iterate_args"
2 arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ]
Proof Table
# Claim Reason
1 the expression at time (54 + 1) = 5 if expression state at time 54 = "iterate_args" and arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ], then the expression at time (54 + 1) = 5
2 54 + 1 = 55 54 + 1 = 55
3 the expression at time (54 + 1) = the expression at time 55 if 54 + 1 = 55, then the expression at time (54 + 1) = the expression at time 55
4 the expression at time 55 = 5 if the expression at time (54 + 1) = the expression at time 55 and the expression at time (54 + 1) = 5, then the expression at time 55 = 5

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