Proof: Do Expr At Unchanged 37

Let's prove the following theorem:

if the following are true:

expression state at time 37 = "begin_expr"
the expression at time 37 = joe.move()

then the expression at time 38 = joe.move()

Proof:

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Given

1	expression state at time 37 = "begin_expr"
2	the expression at time 37 = `joe.move()`

Proof Table

#	Claim	Reason
1	the expression at time (37 + 1) = the expression at time 37	if expression state at time 37 = "begin_expr", then the expression at time (37 + 1) = the expression at time 37 (Insn Count Begin Expression (1))
2	the expression at time (37 + 1) = `joe.move()`	if the expression at time (37 + 1) = the expression at time 37 and the expression at time 37 = `joe.move()`, then the expression at time (37 + 1) = `joe.move()` (Transitive Property of Equality)
3	37 + 1 = 38	37 + 1 = 38 (Fixed Value Statement)
4	the expression at time (37 + 1) = the expression at time 38	if 37 + 1 = 38, then the expression at time (37 + 1) = the expression at time 38 (Substitution)
5	the expression at time 38 = `joe.move()`	if the expression at time (37 + 1) = the expression at time 38 and the expression at time (37 + 1) = `joe.move()`, then the expression at time 38 = `joe.move()` (Transitive Property of Equality Variation 2)

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