Proof: Do Variables At Unchanged 51

Let's prove the following theorem:

if the following are true:
  • expression state at time 51 = "iterate_args"
  • Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 52 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given
1 expression state at time 51 = "iterate_args"
2 Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ]
Proof Table
# Claim Reason
1 Variables Map at time (51 + 1) = Variables Map at time 51 if expression state at time 51 = "iterate_args", then Variables Map at time (51 + 1) = Variables Map at time 51
2 Variables Map at time (51 + 1) = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (51 + 1) = Variables Map at time 51 and Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (51 + 1) = [ entry self: (Python reference 0), [ ] ]
3 51 + 1 = 52 51 + 1 = 52
4 Variables Map at time (51 + 1) = Variables Map at time 52 if 51 + 1 = 52, then Variables Map at time (51 + 1) = Variables Map at time 52
5 Variables Map at time 52 = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (51 + 1) = Variables Map at time 52 and Variables Map at time (51 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 52 = [ entry self: (Python reference 0), [ ] ]

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