Proof: Write Call Function Build Control Map 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, [ ] ]
  • Argument Values at time 11 = [ 5, [ ] ]
  • Control Map at time 11 = [ ]

then Control Map at time 12 = [ ]

Proof:

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

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