Proof: Do Variables At Unchanged 25

Let's prove the following theorem:

if the following are true:

expression state at time 25 = "call_function_begin"
Variables Map at time 25 = [ ]

then Variables Map at time 26 = [ ]

Proof:

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

Given

1	expression state at time 25 = "call_function_begin"
2	Variables Map at time 25 = [ ]

Proof Table

#	Claim	Reason
1	Variables Map at time (25 + 1) = Variables Map at time 25	if expression state at time 25 = "call_function_begin", then Variables Map at time (25 + 1) = Variables Map at time 25 (Assign Parent (5))
2	Variables Map at time (25 + 1) = [ ]	if Variables Map at time (25 + 1) = Variables Map at time 25 and Variables Map at time 25 = [ ], then Variables Map at time (25 + 1) = [ ] (Transitive Property of Equality)
3	25 + 1 = 26	25 + 1 = 26 (Fixed Value Statement)
4	Variables Map at time (25 + 1) = Variables Map at time 26	if 25 + 1 = 26, then Variables Map at time (25 + 1) = Variables Map at time 26 (Substitution)
5	Variables Map at time 26 = [ ]	if Variables Map at time (25 + 1) = Variables Map at time 26 and Variables Map at time (25 + 1) = [ ], then Variables Map at time 26 = [ ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments