Proof: Do Variables At Unchanged 9

Let's prove the following theorem:

if the following are true:

expression state at time 9 = "begin_expr"
Variables Map at time 9 = [ ]

then Variables Map at time 10 = [ ]

Proof:

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

Given

1	expression state at time 9 = "begin_expr"
2	Variables Map at time 9 = [ ]

Proof Table

#	Claim	Reason
1	Variables Map at time (9 + 1) = Variables Map at time 9	if expression state at time 9 = "begin_expr", then Variables Map at time (9 + 1) = Variables Map at time 9 (Insn Count Begin Expression (2))
2	Variables Map at time (9 + 1) = [ ]	if Variables Map at time (9 + 1) = Variables Map at time 9 and Variables Map at time 9 = [ ], then Variables Map at time (9 + 1) = [ ] (Transitive Property of Equality)
3	9 + 1 = 10	9 + 1 = 10 (Fixed Value Statement)
4	Variables Map at time (9 + 1) = Variables Map at time 10	if 9 + 1 = 10, then Variables Map at time (9 + 1) = Variables Map at time 10 (Substitution)
5	Variables Map at time 10 = [ ]	if Variables Map at time (9 + 1) = Variables Map at time 10 and Variables Map at time (9 + 1) = [ ], then Variables Map at time 10 = [ ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments