Proof: Get Begin Expr Params 60

Let's prove the following theorem:

if the following are true:
  • expression state at time 60 = "begin_expr"
  • the expression at time 60 = __mul__(self.age, 12)
  • arguments stack at time 60 = [ ]

then arguments stack at time 61 = [ [ self.age, [ 12, [ ] ] ], [ ] ]

Proof:

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Given
1 expression state at time 60 = "begin_expr"
2 the expression at time 60 = __mul__(self.age, 12)
3 arguments stack at time 60 = [ ]
Proof Table
# Claim Reason
1 arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ] if expression state at time 60 = "begin_expr" and the expression at time 60 = __mul__(self.age, 12), then arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ]
2 [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ] = [ [ self.age, [ 12, [ ] ] ], [ ] ] if arguments stack at time 60 = [ ], then [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ] = [ [ self.age, [ 12, [ ] ] ], [ ] ]
3 arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], [ ] ] if arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ] and [ [ self.age, [ 12, [ ] ] ], arguments stack at time 60 ] = [ [ self.age, [ 12, [ ] ] ], [ ] ], then arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], [ ] ]
4 60 + 1 = 61 60 + 1 = 61
5 arguments stack at time (60 + 1) = arguments stack at time 61 if 60 + 1 = 61, then arguments stack at time (60 + 1) = arguments stack at time 61
6 arguments stack at time 61 = [ [ self.age, [ 12, [ ] ] ], [ ] ] if arguments stack at time (60 + 1) = arguments stack at time 61 and arguments stack at time (60 + 1) = [ [ self.age, [ 12, [ ] ] ], [ ] ], then arguments stack at time 61 = [ [ self.age, [ 12, [ ] ] ], [ ] ]

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