Proof: Get Iterate End Parent 57

Let's prove the following theorem:

if the following are true:
  • expression state at time 57 = "iterate_args"
  • arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ]
  • parent stack at time 57 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ]

then parent stack at time 58 = [ self."x" = __add__(self.x, 5), [ ] ]

Proof:

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

Given
1 expression state at time 57 = "iterate_args"
2 arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ]
3 parent stack at time 57 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ]
Proof Table
# Claim Reason
1 parent stack at time (57 + 1) = [ self."x" = __add__(self.x, 5), [ ] ] if expression state at time 57 = "iterate_args" and arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ] and parent stack at time 57 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ], then parent stack at time (57 + 1) = [ self."x" = __add__(self.x, 5), [ ] ]
2 57 + 1 = 58 57 + 1 = 58
3 parent stack at time (57 + 1) = parent stack at time 58 if 57 + 1 = 58, then parent stack at time (57 + 1) = parent stack at time 58
4 parent stack at time 58 = [ self."x" = __add__(self.x, 5), [ ] ] if parent stack at time (57 + 1) = parent stack at time 58 and parent stack at time (57 + 1) = [ self."x" = __add__(self.x, 5), [ ] ], then parent stack at time 58 = [ self."x" = __add__(self.x, 5), [ ] ]

Comments

Please log in to add comments