Proof: Get Iterate Expr 32

Let's prove the following theorem:

if the following are true:
  • expression state at time 32 = "iterate_args"
  • arguments stack at time 32 = [ [ "ES", [ "Spain", [ ] ] ], [ ] ]

then the expression at time 33 = "ES"

Proof:

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Given
1 expression state at time 32 = "iterate_args"
2 arguments stack at time 32 = [ [ "ES", [ "Spain", [ ] ] ], [ ] ]
Proof Table
# Claim Reason
1 the expression at time (32 + 1) = "ES" if expression state at time 32 = "iterate_args" and arguments stack at time 32 = [ [ "ES", [ "Spain", [ ] ] ], [ ] ], then the expression at time (32 + 1) = "ES"
2 32 + 1 = 33 32 + 1 = 33
3 the expression at time (32 + 1) = the expression at time 33 if 32 + 1 = 33, then the expression at time (32 + 1) = the expression at time 33
4 the expression at time 33 = "ES" if the expression at time (32 + 1) = the expression at time 33 and the expression at time (32 + 1) = "ES", then the expression at time 33 = "ES"

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