Proof: Do Variables At Unchanged 49

Let's prove the following theorem:

if the following are true:

expression state at time 49 = "begin_expr"
Variables Map at time 49 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 49 = "begin_expr"
2	Variables Map at time 49 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (49 + 1) = Variables Map at time 49	if expression state at time 49 = "begin_expr", then Variables Map at time (49 + 1) = Variables Map at time 49 (Insn Count Begin Expression (2))
2	Variables Map at time (49 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (49 + 1) = Variables Map at time 49 and Variables Map at time 49 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (49 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	49 + 1 = 50	49 + 1 = 50 (Fixed Value Statement)
4	Variables Map at time (49 + 1) = Variables Map at time 50	if 49 + 1 = 50, then Variables Map at time (49 + 1) = Variables Map at time 50 (Substitution)
5	Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (49 + 1) = Variables Map at time 50 and Variables Map at time (49 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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