Proof: Write Skip Line Variables At 14

Let's prove the following theorem:

if the following are true:
  • the line at time 14 = 4
  • the tab at time 14 = 0
  • statement at line 4, tab 1 = a = 9
  • Variables Map at time 14 = [ entry a: 7, [ ] ]

then Variables Map at time 15 = [ entry a: 7, [ ] ]

Proof:

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Given
1 the line at time 14 = 4
2 the tab at time 14 = 0
3 statement at line 4, tab 1 = a = 9
4 Variables Map at time 14 = [ entry a: 7, [ ] ]
Proof Table
# Claim Reason
1 1 > 0 1 > 0
2 Variables Map at time (14 + 1) = Variables Map at time 14 if the line at time 14 = 4 and the tab at time 14 = 0 and statement at line 4, tab 1 = a = 9 and 1 > 0, then Variables Map at time (14 + 1) = Variables Map at time 14
3 Variables Map at time (14 + 1) = [ entry a: 7, [ ] ] if Variables Map at time (14 + 1) = Variables Map at time 14 and Variables Map at time 14 = [ entry a: 7, [ ] ], then Variables Map at time (14 + 1) = [ entry a: 7, [ ] ]
4 14 + 1 = 15 14 + 1 = 15
5 Variables Map at time (14 + 1) = Variables Map at time 15 if 14 + 1 = 15, then Variables Map at time (14 + 1) = Variables Map at time 15
6 Variables Map at time 15 = [ entry a: 7, [ ] ] if Variables Map at time (14 + 1) = Variables Map at time 15 and Variables Map at time (14 + 1) = [ entry a: 7, [ ] ], then Variables Map at time 15 = [ entry a: 7, [ ] ]

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