Proof: Do Arg Stack At Unchanged 4

Let's prove the following theorem:

if the following are true:
  • expression state at time 4 = "return"
  • arguments stack at time 4 = [ [ 3, [ ] ], [ ] ]

then arguments stack at time 5 = [ [ 3, [ ] ], [ ] ]

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 expression state at time 4 = "return"
2 arguments stack at time 4 = [ [ 3, [ ] ], [ ] ]
Proof Table
# Claim Reason
1 arguments stack at time (4 + 1) = arguments stack at time 4 if expression state at time 4 = "return", then arguments stack at time (4 + 1) = arguments stack at time 4
2 arguments stack at time (4 + 1) = [ [ 3, [ ] ], [ ] ] if arguments stack at time (4 + 1) = arguments stack at time 4 and arguments stack at time 4 = [ [ 3, [ ] ], [ ] ], then arguments stack at time (4 + 1) = [ [ 3, [ ] ], [ ] ]
3 4 + 1 = 5 4 + 1 = 5
4 arguments stack at time (4 + 1) = arguments stack at time 5 if 4 + 1 = 5, then arguments stack at time (4 + 1) = arguments stack at time 5
5 arguments stack at time 5 = [ [ 3, [ ] ], [ ] ] if arguments stack at time (4 + 1) = arguments stack at time 5 and arguments stack at time (4 + 1) = [ [ 3, [ ] ], [ ] ], then arguments stack at time 5 = [ [ 3, [ ] ], [ ] ]

Comments

Please log in to add comments