Proof: Write Stmt Tab At Unchanged Expr45

Let's prove the following theorem:

if the following are true:

the line at time 45 = 3
the tab at time 45 = 1
statement at line 3, tab 1 = a = __add__(a, 1)
expression state at time 45 = "end_expr"

then the tab at time 46 = 1

Proof:

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

Given

1	the line at time 45 = 3
2	the tab at time 45 = 1
3	statement at line 3, tab 1 = `a = __add__(a, 1)`
4	expression state at time 45 = "end_expr"

Proof Table

#	Claim	Reason
1	the tab at time (45 + 1) = the tab at time 45	if the line at time 45 = 3 and the tab at time 45 = 1 and statement at line 3, tab 1 = `a = __add__(a, 1)` and expression state at time 45 = "end_expr", then the tab at time (45 + 1) = the tab at time 45 (Assign Variable to Call Result (3))
2	the tab at time (45 + 1) = 1	if the tab at time (45 + 1) = the tab at time 45 and the tab at time 45 = 1, then the tab at time (45 + 1) = 1 (Transitive Property of Equality)
3	45 + 1 = 46	45 + 1 = 46 (Fixed Value Statement)
4	the tab at time (45 + 1) = the tab at time 46	if 45 + 1 = 46, then the tab at time (45 + 1) = the tab at time 46 (Substitution)
5	the tab at time 46 = 1	if the tab at time (45 + 1) = the tab at time 46 and the tab at time (45 + 1) = 1, then the tab at time 46 = 1 (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments