Proof: Get Iterate Parent 28

Let's prove the following theorem:

if the following are true:

expression state at time 28 = "iterate_args"
arguments stack at time 28 = [ [ first_name, [ ] ], [ ] ]
parent stack at time 28 = [ self."first_name" = first_name, [ ] ]

then parent stack at time 29 = [ self."first_name" = first_name, [ ] ]

Proof:

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

Given

1	expression state at time 28 = "iterate_args"
2	arguments stack at time 28 = [ [ first_name, [ ] ], [ ] ]
3	parent stack at time 28 = [ self."first_name" = first_name, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (28 + 1) = parent stack at time 28	if expression state at time 28 = "iterate_args" and arguments stack at time 28 = [ [ first_name, [ ] ], [ ] ], then parent stack at time (28 + 1) = parent stack at time 28 (Do Iterage Args (4))
2	parent stack at time (28 + 1) = [ self."first_name" = first_name, [ ] ]	if parent stack at time (28 + 1) = parent stack at time 28 and parent stack at time 28 = [ self."first_name" = first_name, [ ] ], then parent stack at time (28 + 1) = [ self."first_name" = first_name, [ ] ] (Transitive Property of Equality)
3	28 + 1 = 29	28 + 1 = 29 (Fixed Value Statement)
4	parent stack at time (28 + 1) = parent stack at time 29	if 28 + 1 = 29, then parent stack at time (28 + 1) = parent stack at time 29 (Substitution)
5	parent stack at time 29 = [ self."first_name" = first_name, [ ] ]	if parent stack at time (28 + 1) = parent stack at time 29 and parent stack at time (28 + 1) = [ self."first_name" = first_name, [ ] ], then parent stack at time 29 = [ self."first_name" = first_name, [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments