Proof: Do Variables At Unchanged 21

Let's prove the following theorem:

if the following are true:

expression state at time 21 = "return"
Variables Map at time 21 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 21 = "return"
2	Variables Map at time 21 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (21 + 1) = Variables Map at time 21	if expression state at time 21 = "return", then Variables Map at time (21 + 1) = Variables Map at time 21 (Return (5))
2	Variables Map at time (21 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (21 + 1) = Variables Map at time 21 and Variables Map at time 21 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (21 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	21 + 1 = 22	21 + 1 = 22 (Fixed Value Statement)
4	Variables Map at time (21 + 1) = Variables Map at time 22	if 21 + 1 = 22, then Variables Map at time (21 + 1) = Variables Map at time 22 (Substitution)
5	Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (21 + 1) = Variables Map at time 22 and Variables Map at time (21 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 22 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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