Proof: Write Call Function Build Tab 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 tab at time 11 = 0

then the tab at time 12 = 0

Proof:

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Given
1 expression state at time 11 = "call_build_args"
2 Parameters List at time 11 = [ x, [ ] ]
3 the tab at time 11 = 0
Proof Table
# Claim Reason
1 the tab at time (11 + 1) = the tab at time 11 if expression state at time 11 = "call_build_args" and Parameters List at time 11 = [ x, [ ] ], then the tab at time (11 + 1) = the tab at time 11
2 the tab at time (11 + 1) = 0 if the tab at time (11 + 1) = the tab at time 11 and the tab at time 11 = 0, then the tab at time (11 + 1) = 0
3 11 + 1 = 12 11 + 1 = 12
4 the tab at time (11 + 1) = the tab at time 12 if 11 + 1 = 12, then the tab at time (11 + 1) = the tab at time 12
5 the tab at time 12 = 0 if the tab at time (11 + 1) = the tab at time 12 and the tab at time (11 + 1) = 0, then the tab at time 12 = 0

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