Proof: Get Iterate End Expr 24

Let's prove the following theorem:

if the following are true:
  • expression state at time 24 = "iterate_args"
  • arguments stack at time 24 = [ [ ], [ ] ]
  • parent stack at time 24 = [ {"ES": "Estonia", "MX": "Mexico"}, [ ] ]

then the expression at time 25 = {"ES": "Estonia", "MX": "Mexico"}

Proof:

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Given
1 expression state at time 24 = "iterate_args"
2 arguments stack at time 24 = [ [ ], [ ] ]
3 parent stack at time 24 = [ {"ES": "Estonia", "MX": "Mexico"}, [ ] ]
Proof Table
# Claim Reason
1 the expression at time (24 + 1) = {"ES": "Estonia", "MX": "Mexico"} if expression state at time 24 = "iterate_args" and arguments stack at time 24 = [ [ ], [ ] ] and parent stack at time 24 = [ {"ES": "Estonia", "MX": "Mexico"}, [ ] ], then the expression at time (24 + 1) = {"ES": "Estonia", "MX": "Mexico"}
2 24 + 1 = 25 24 + 1 = 25
3 the expression at time (24 + 1) = the expression at time 25 if 24 + 1 = 25, then the expression at time (24 + 1) = the expression at time 25
4 the expression at time 25 = {"ES": "Estonia", "MX": "Mexico"} if the expression at time (24 + 1) = the expression at time 25 and the expression at time (24 + 1) = {"ES": "Estonia", "MX": "Mexico"}, then the expression at time 25 = {"ES": "Estonia", "MX": "Mexico"}

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