Proof: Get Begin Expr Params 67

Let's prove the following theorem:

if the following are true:
  • expression state at time 67 = "begin_expr"
  • the expression at time 67 = joe.jump()
  • arguments stack at time 67 = [ ]

then arguments stack at time 68 = [ [ ], [ ] ]

Proof:

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Given
1 expression state at time 67 = "begin_expr"
2 the expression at time 67 = joe.jump()
3 arguments stack at time 67 = [ ]
Proof Table
# Claim Reason
1 arguments stack at time (67 + 1) = [ [ ], arguments stack at time 67 ] if expression state at time 67 = "begin_expr" and the expression at time 67 = joe.jump(), then arguments stack at time (67 + 1) = [ [ ], arguments stack at time 67 ]
2 [ [ ], arguments stack at time 67 ] = [ [ ], [ ] ] if arguments stack at time 67 = [ ], then [ [ ], arguments stack at time 67 ] = [ [ ], [ ] ]
3 arguments stack at time (67 + 1) = [ [ ], [ ] ] if arguments stack at time (67 + 1) = [ [ ], arguments stack at time 67 ] and [ [ ], arguments stack at time 67 ] = [ [ ], [ ] ], then arguments stack at time (67 + 1) = [ [ ], [ ] ]
4 67 + 1 = 68 67 + 1 = 68
5 arguments stack at time (67 + 1) = arguments stack at time 68 if 67 + 1 = 68, then arguments stack at time (67 + 1) = arguments stack at time 68
6 arguments stack at time 68 = [ [ ], [ ] ] if arguments stack at time (67 + 1) = arguments stack at time 68 and arguments stack at time (67 + 1) = [ [ ], [ ] ], then arguments stack at time 68 = [ [ ], [ ] ]

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