Proof: Do Expr At Unchanged 67

Let's prove the following theorem:

if the following are true:

expression state at time 67 = "begin_expr"
the expression at time 67 = joe.jump()

then the expression at time 68 = joe.jump()

Proof:

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Given

1	expression state at time 67 = "begin_expr"
2	the expression at time 67 = `joe.jump()`

Proof Table

#	Claim	Reason
1	the expression at time (67 + 1) = the expression at time 67	if expression state at time 67 = "begin_expr", then the expression at time (67 + 1) = the expression at time 67 (Insn Count Begin Expression (1))
2	the expression at time (67 + 1) = `joe.jump()`	if the expression at time (67 + 1) = the expression at time 67 and the expression at time 67 = `joe.jump()`, then the expression at time (67 + 1) = `joe.jump()` (Transitive Property of Equality)
3	67 + 1 = 68	67 + 1 = 68 (Fixed Value Statement)
4	the expression at time (67 + 1) = the expression at time 68	if 67 + 1 = 68, then the expression at time (67 + 1) = the expression at time 68 (Substitution)
5	the expression at time 68 = `joe.jump()`	if the expression at time (67 + 1) = the expression at time 68 and the expression at time (67 + 1) = `joe.jump()`, then the expression at time 68 = `joe.jump()` (Transitive Property of Equality Variation 2)

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