Proof: Get Iterate End State 10

Let's prove the following theorem:

if the following are true:

expression state at time 10 = "iterate_args"
arguments stack at time 10 = [ [ ], [ [ entry "MX": "Mexico", [ ] ], [ ] ] ]
parent stack at time 10 = [ entry "ES": "Estonia", [ {"ES": "Estonia", "MX": "Mexico"}, [ ] ] ]

then expression state at time 11 = "call_function_begin"

Proof:

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

Given

1	expression state at time 10 = "iterate_args"
2	arguments stack at time 10 = [ [ ], [ [ entry "MX": "Mexico", [ ] ], [ ] ] ]
3	parent stack at time 10 = [ entry "ES": "Estonia", [ `{"ES": "Estonia", "MX": "Mexico"}`, [ ] ] ]

Proof Table

#	Claim	Reason
1	expression state at time (10 + 1) = "call_function_begin"	if expression state at time 10 = "iterate_args" and arguments stack at time 10 = [ [ ], [ [ entry "MX": "Mexico", [ ] ], [ ] ] ] and parent stack at time 10 = [ entry "ES": "Estonia", [ `{"ES": "Estonia", "MX": "Mexico"}`, [ ] ] ], then expression state at time (10 + 1) = "call_function_begin" (Iterate Arguments Finished State Rule)
2	10 + 1 = 11	10 + 1 = 11 (Fixed Value Statement)
3	expression state at time (10 + 1) = expression state at time 11	if 10 + 1 = 11, then expression state at time (10 + 1) = expression state at time 11 (Substitution)
4	expression state at time 11 = "call_function_begin"	if expression state at time (10 + 1) = expression state at time 11 and expression state at time (10 + 1) = "call_function_begin", then expression state at time 11 = "call_function_begin" (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments