Proof: Write Call Function Build Line At 11

Let's prove the following theorem:

if the following are true:
  • expression state at time 11 = "call_build_args"
  • Parameters List at time 11 = [ x, [ ] ]
  • the line at time 11 = 5

then the line at time 12 = 5

Proof:

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Given
1 expression state at time 11 = "call_build_args"
2 Parameters List at time 11 = [ x, [ ] ]
3 the line at time 11 = 5
Proof Table
# Claim Reason
1 the line at time (11 + 1) = the line at time 11 if expression state at time 11 = "call_build_args" and Parameters List at time 11 = [ x, [ ] ], then the line at time (11 + 1) = the line at time 11
2 the line at time (11 + 1) = 5 if the line at time (11 + 1) = the line at time 11 and the line at time 11 = 5, then the line at time (11 + 1) = 5
3 11 + 1 = 12 11 + 1 = 12
4 the line at time (11 + 1) = the line at time 12 if 11 + 1 = 12, then the line at time (11 + 1) = the line at time 12
5 the line at time 12 = 5 if the line at time (11 + 1) = the line at time 12 and the line at time (11 + 1) = 5, then the line at time 12 = 5

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