Proof: Do Variables At Unchanged 67

Let's prove the following theorem:

if the following are true:

expression state at time 67 = "begin_expr"
Variables Map at time 67 = [ entry joe: (Python reference 0), [ ] ]

then Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ]

Proof:

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

Given

1	expression state at time 67 = "begin_expr"
2	Variables Map at time 67 = [ entry joe: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (67 + 1) = Variables Map at time 67	if expression state at time 67 = "begin_expr", then Variables Map at time (67 + 1) = Variables Map at time 67 (Insn Count Begin Expression (2))
2	Variables Map at time (67 + 1) = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (67 + 1) = Variables Map at time 67 and Variables Map at time 67 = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time (67 + 1) = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	67 + 1 = 68	67 + 1 = 68 (Fixed Value Statement)
4	Variables Map at time (67 + 1) = Variables Map at time 68	if 67 + 1 = 68, then Variables Map at time (67 + 1) = Variables Map at time 68 (Substitution)
5	Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (67 + 1) = Variables Map at time 68 and Variables Map at time (67 + 1) = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments