Proof: Do Variables At Unchanged 10

Let's prove the following theorem:

if the following are true:
  • expression state at time 10 = "iterate_args"
  • Variables Map at time 10 = [ ]

then Variables Map at time 11 = [ ]

Proof:

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Given
1 expression state at time 10 = "iterate_args"
2 Variables Map at time 10 = [ ]
Proof Table
# Claim Reason
1 Variables Map at time (10 + 1) = Variables Map at time 10 if expression state at time 10 = "iterate_args", then Variables Map at time (10 + 1) = Variables Map at time 10
2 Variables Map at time (10 + 1) = [ ] if Variables Map at time (10 + 1) = Variables Map at time 10 and Variables Map at time 10 = [ ], then Variables Map at time (10 + 1) = [ ]
3 10 + 1 = 11 10 + 1 = 11
4 Variables Map at time (10 + 1) = Variables Map at time 11 if 10 + 1 = 11, then Variables Map at time (10 + 1) = Variables Map at time 11
5 Variables Map at time 11 = [ ] if Variables Map at time (10 + 1) = Variables Map at time 11 and Variables Map at time (10 + 1) = [ ], then Variables Map at time 11 = [ ]

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