Proof: Do Tab At Unchanged 44

Let's prove the following theorem:

if the following are true:

expression state at time 44 = "iterate_args"
the tab at time 44 = 2

then the tab at time 45 = 2

Proof:

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

Given

1	expression state at time 44 = "iterate_args"
2	the tab at time 44 = 2

Proof Table

#	Claim	Reason
1	the tab at time (44 + 1) = the tab at time 44	if expression state at time 44 = "iterate_args", then the tab at time (44 + 1) = the tab at time 44 (Iterate Insn (4))
2	the tab at time (44 + 1) = 2	if the tab at time (44 + 1) = the tab at time 44 and the tab at time 44 = 2, then the tab at time (44 + 1) = 2 (Transitive Property of Equality)
3	44 + 1 = 45	44 + 1 = 45 (Fixed Value Statement)
4	the tab at time (44 + 1) = the tab at time 45	if 44 + 1 = 45, then the tab at time (44 + 1) = the tab at time 45 (Substitution)
5	the tab at time 45 = 2	if the tab at time (44 + 1) = the tab at time 45 and the tab at time (44 + 1) = 2, then the tab at time 45 = 2 (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments