Proof: Get Iterate Parent 74

Let's prove the following theorem:

if the following are true:

expression state at time 74 = "iterate_args"
arguments stack at time 74 = [ [ 5, [ ] ], [ ] ]
parent stack at time 74 = [ self."y" = 5, [ ] ]

then parent stack at time 75 = [ self."y" = 5, [ ] ]

Proof:

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

Given

1	expression state at time 74 = "iterate_args"
2	arguments stack at time 74 = [ [ 5, [ ] ], [ ] ]
3	parent stack at time 74 = [ self."y" = 5, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (74 + 1) = parent stack at time 74	if expression state at time 74 = "iterate_args" and arguments stack at time 74 = [ [ 5, [ ] ], [ ] ], then parent stack at time (74 + 1) = parent stack at time 74 (Do Iterage Args (4))
2	parent stack at time (74 + 1) = [ self."y" = 5, [ ] ]	if parent stack at time (74 + 1) = parent stack at time 74 and parent stack at time 74 = [ self."y" = 5, [ ] ], then parent stack at time (74 + 1) = [ self."y" = 5, [ ] ] (Transitive Property of Equality)
3	74 + 1 = 75	74 + 1 = 75 (Fixed Value Statement)
4	parent stack at time (74 + 1) = parent stack at time 75	if 74 + 1 = 75, then parent stack at time (74 + 1) = parent stack at time 75 (Substitution)
5	parent stack at time 75 = [ self."y" = 5, [ ] ]	if parent stack at time (74 + 1) = parent stack at time 75 and parent stack at time (74 + 1) = [ self."y" = 5, [ ] ], then parent stack at time 75 = [ self."y" = 5, [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments