Proof: Do Expr At Unchanged 70

Let's prove the following theorem:

if the following are true:
  • expression state at time 70 = "call_build_args"
  • the expression at time 70 = joe.jump()

then the expression at time 71 = joe.jump()

Proof:

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Given
1 expression state at time 70 = "call_build_args"
2 the expression at time 70 = joe.jump()
Proof Table
# Claim Reason
1 the expression at time (70 + 1) = the expression at time 70 if expression state at time 70 = "call_build_args", then the expression at time (70 + 1) = the expression at time 70
2 the expression at time (70 + 1) = joe.jump() if the expression at time (70 + 1) = the expression at time 70 and the expression at time 70 = joe.jump(), then the expression at time (70 + 1) = joe.jump()
3 70 + 1 = 71 70 + 1 = 71
4 the expression at time (70 + 1) = the expression at time 71 if 70 + 1 = 71, then the expression at time (70 + 1) = the expression at time 71
5 the expression at time 71 = joe.jump() if the expression at time (70 + 1) = the expression at time 71 and the expression at time (70 + 1) = joe.jump(), then the expression at time 71 = joe.jump()

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