Proof: Do Line At Unchanged 13

Let's prove the following theorem:

if the following are true:

expression state at time 13 = "iterate_args"
the line at time 13 = 10

then the line at time 14 = 10

Proof:

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

Given

1	expression state at time 13 = "iterate_args"
2	the line at time 13 = 10

Proof Table

#	Claim	Reason
1	the line at time (13 + 1) = the line at time 13	if expression state at time 13 = "iterate_args", then the line at time (13 + 1) = the line at time 13 (Iterate Insn (3))
2	the line at time (13 + 1) = 10	if the line at time (13 + 1) = the line at time 13 and the line at time 13 = 10, then the line at time (13 + 1) = 10 (Transitive Property of Equality)
3	13 + 1 = 14	13 + 1 = 14 (Fixed Value Statement)
4	the line at time (13 + 1) = the line at time 14	if 13 + 1 = 14, then the line at time (13 + 1) = the line at time 14 (Substitution)
5	the line at time 14 = 10	if the line at time (13 + 1) = the line at time 14 and the line at time (13 + 1) = 10, then the line at time 14 = 10 (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments