Proof: Get Begin Expr Params 45

Let's prove the following theorem:

if the following are true:
  • expression state at time 45 = "begin_expr"
  • the expression at time 45 = __add__(self.x, 5)
  • arguments stack at time 45 = [ [ ], [ ] ]

then arguments stack at time 46 = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ]

Proof:

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Given
1 expression state at time 45 = "begin_expr"
2 the expression at time 45 = __add__(self.x, 5)
3 arguments stack at time 45 = [ [ ], [ ] ]
Proof Table
# Claim Reason
1 arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ] if expression state at time 45 = "begin_expr" and the expression at time 45 = __add__(self.x, 5), then arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ]
2 [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ] = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ] if arguments stack at time 45 = [ [ ], [ ] ], then [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ] = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ]
3 arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ] if arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ] and [ [ self.x, [ 5, [ ] ] ], arguments stack at time 45 ] = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ], then arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ]
4 45 + 1 = 46 45 + 1 = 46
5 arguments stack at time (45 + 1) = arguments stack at time 46 if 45 + 1 = 46, then arguments stack at time (45 + 1) = arguments stack at time 46
6 arguments stack at time 46 = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ] if arguments stack at time (45 + 1) = arguments stack at time 46 and arguments stack at time (45 + 1) = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ], then arguments stack at time 46 = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ]

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