Proof: Do Variables At Unchanged 56

Let's prove the following theorem:

if the following are true:

expression state at time 56 = "return"
Variables Map at time 56 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 57 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 56 = "return"
2	Variables Map at time 56 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (56 + 1) = Variables Map at time 56	if expression state at time 56 = "return", then Variables Map at time (56 + 1) = Variables Map at time 56 (Return (5))
2	Variables Map at time (56 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (56 + 1) = Variables Map at time 56 and Variables Map at time 56 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (56 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	56 + 1 = 57	56 + 1 = 57 (Fixed Value Statement)
4	Variables Map at time (56 + 1) = Variables Map at time 57	if 56 + 1 = 57, then Variables Map at time (56 + 1) = Variables Map at time 57 (Substitution)
5	Variables Map at time 57 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (56 + 1) = Variables Map at time 57 and Variables Map at time (56 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 57 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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