Proof: Do Variables At Unchanged 4

Let's prove the following theorem:

if the following are true:
  • expression state at time 4 = "iterate_args"
  • Variables Map at time 4 = [ ]

then Variables Map at time 5 = [ ]

Proof:

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

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