Proof: Do Expr At Unchanged 13

Let's prove the following theorem:

if the following are true:

expression state at time 13 = "begin_expr"
the expression at time 13 = __eq__(7, 9)

then the expression at time 14 = __eq__(7, 9)

Proof:

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Given

1	expression state at time 13 = "begin_expr"
2	the expression at time 13 = `__eq__(7, 9)`

Proof Table

#	Claim	Reason
1	the expression at time (13 + 1) = the expression at time 13	if expression state at time 13 = "begin_expr", then the expression at time (13 + 1) = the expression at time 13 (Insn Count Begin Expression (1))
2	the expression at time (13 + 1) = `__eq__(7, 9)`	if the expression at time (13 + 1) = the expression at time 13 and the expression at time 13 = `__eq__(7, 9)`, then the expression at time (13 + 1) = `__eq__(7, 9)` (Transitive Property of Equality)
3	13 + 1 = 14	13 + 1 = 14 (Fixed Value Statement)
4	the expression at time (13 + 1) = the expression at time 14	if 13 + 1 = 14, then the expression at time (13 + 1) = the expression at time 14 (Substitution)
5	the expression at time 14 = `__eq__(7, 9)`	if the expression at time (13 + 1) = the expression at time 14 and the expression at time (13 + 1) = `__eq__(7, 9)`, then the expression at time 14 = `__eq__(7, 9)` (Transitive Property of Equality Variation 2)

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