Proof: Get Iterate End Expr 20

Let's prove the following theorem:

if the following are true:

expression state at time 20 = "iterate_args"
arguments stack at time 20 = [ [ ], [ ] ]
parent stack at time 20 = [ __eq__(7, 9), [ ] ]

then the expression at time 21 = __eq__(7, 9)

Proof:

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

Given

1	expression state at time 20 = "iterate_args"
2	arguments stack at time 20 = [ [ ], [ ] ]
3	parent stack at time 20 = [ `__eq__(7, 9)`, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (20 + 1) = `__eq__(7, 9)`	if expression state at time 20 = "iterate_args" and arguments stack at time 20 = [ [ ], [ ] ] and parent stack at time 20 = [ `__eq__(7, 9)`, [ ] ], then the expression at time (20 + 1) = `__eq__(7, 9)` (Iterate Arguments Finished Rule)
2	20 + 1 = 21	20 + 1 = 21 (Fixed Value Statement)
3	the expression at time (20 + 1) = the expression at time 21	if 20 + 1 = 21, then the expression at time (20 + 1) = the expression at time 21 (Substitution)
4	the expression at time 21 = `__eq__(7, 9)`	if the expression at time (20 + 1) = the expression at time 21 and the expression at time (20 + 1) = `__eq__(7, 9)`, then the expression at time 21 = `__eq__(7, 9)` (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments