Proof: Get Begin Expr State 36

Let's prove the following theorem:

if the following are true:

the expression at time 36 = "Spain"
expression state at time 36 = "begin_expr"
"Spain" is constant
parent stack at time 36 = [ __setitem__(locations, "ES", "Spain"), [ ] ]

then expression state at time 37 = "return"

Proof:

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Given

1	the expression at time 36 = "Spain"
2	expression state at time 36 = "begin_expr"
3	"Spain" is constant
4	parent stack at time 36 = [ `__setitem__(locations, "ES", "Spain")`, [ ] ]

Proof Table

#	Claim	Reason
1	expression state at time (36 + 1) = "return"	if expression state at time 36 = "begin_expr" and the expression at time 36 = "Spain" and "Spain" is constant and parent stack at time 36 = [ `__setitem__(locations, "ES", "Spain")`, [ ] ], then expression state at time (36 + 1) = "return" (Evaluate Constant Argument State Property)
2	36 + 1 = 37	36 + 1 = 37 (Fixed Value Statement)
3	expression state at time (36 + 1) = expression state at time 37	if 36 + 1 = 37, then expression state at time (36 + 1) = expression state at time 37 (Substitution)
4	expression state at time 37 = "return"	if expression state at time (36 + 1) = expression state at time 37 and expression state at time (36 + 1) = "return", then expression state at time 37 = "return" (Transitive Property of Equality Variation 2)

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