Proof: Do Variables At Unchanged 70

Let's prove the following theorem:

if the following are true:

expression state at time 70 = "begin_expr"
Variables Map at time 70 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 71 = [ entry self: (Python reference 0), [ ] ]

Proof:

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

Given

1	expression state at time 70 = "begin_expr"
2	Variables Map at time 70 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (70 + 1) = Variables Map at time 70	if expression state at time 70 = "begin_expr", then Variables Map at time (70 + 1) = Variables Map at time 70 (Insn Count Begin Expression (2))
2	Variables Map at time (70 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (70 + 1) = Variables Map at time 70 and Variables Map at time 70 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (70 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	70 + 1 = 71	70 + 1 = 71 (Fixed Value Statement)
4	Variables Map at time (70 + 1) = Variables Map at time 71	if 70 + 1 = 71, then Variables Map at time (70 + 1) = Variables Map at time 71 (Substitution)
5	Variables Map at time 71 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (70 + 1) = Variables Map at time 71 and Variables Map at time (70 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 71 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments