Proof: Do Variables At Unchanged 3

Let's prove the following theorem:

if the following are true:

expression state at time 3 = "begin_expr"
Variables Map at time 3 = [ ]

then Variables Map at time 4 = [ ]

Proof:

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

Given

1	expression state at time 3 = "begin_expr"
2	Variables Map at time 3 = [ ]

Proof Table

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

Comments

Please log in to add comments