Proof: Get Iterate Params 2

Let's prove the following theorem:

if the following are true:

expression state at time 2 = "iterate_args"
arguments stack at time 2 = [ [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ], [ ] ]

then arguments stack at time 3 = [ [ entry "MX": "Mexico", [ ] ], [ ] ]

Proof:

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

Given

1	expression state at time 2 = "iterate_args"
2	arguments stack at time 2 = [ [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ], [ ] ]

Proof Table

#	Claim	Reason
1	arguments stack at time (2 + 1) = [ [ entry "MX": "Mexico", [ ] ], [ ] ]	if expression state at time 2 = "iterate_args" and arguments stack at time 2 = [ [ entry "ES": "Estonia", [ entry "MX": "Mexico", [ ] ] ], [ ] ], then arguments stack at time (2 + 1) = [ [ entry "MX": "Mexico", [ ] ], [ ] ] (Iterate Arguments Pop Property)
2	2 + 1 = 3	2 + 1 = 3 (Fixed Value Statement)
3	arguments stack at time (2 + 1) = arguments stack at time 3	if 2 + 1 = 3, then arguments stack at time (2 + 1) = arguments stack at time 3 (Substitution)
4	arguments stack at time 3 = [ [ entry "MX": "Mexico", [ ] ], [ ] ]	if arguments stack at time (2 + 1) = arguments stack at time 3 and arguments stack at time (2 + 1) = [ [ entry "MX": "Mexico", [ ] ], [ ] ], then arguments stack at time 3 = [ [ entry "MX": "Mexico", [ ] ], [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments