Proof: Get Begin Expr Value 28

Let's prove the following theorem:

if the following are true:

expression state at time 28 = "begin_expr"
the expression at time 28 = __setitem__(locations, "ES", "Spain")
Value Stack at time 28 = [ ]

then Value Stack at time 29 = [ [ ], [ ] ]

Proof:

View as a tree | View dependent proofs | Try proving it

Given

1	expression state at time 28 = "begin_expr"
2	the expression at time 28 = `__setitem__(locations, "ES", "Spain")`
3	Value Stack at time 28 = [ ]

Proof Table

#	Claim	Reason
1	Value Stack at time (28 + 1) = [ [ ], Value Stack at time 28 ]	if expression state at time 28 = "begin_expr" and the expression at time 28 = `__setitem__(locations, "ES", "Spain")`, then Value Stack at time (28 + 1) = [ [ ], Value Stack at time 28 ] (Begin Expression Values Rule)
2	[ [ ], Value Stack at time 28 ] = [ [ ], [ ] ]	if Value Stack at time 28 = [ ], then [ [ ], Value Stack at time 28 ] = [ [ ], [ ] ] (Substitution)
3	Value Stack at time (28 + 1) = [ [ ], [ ] ]	if Value Stack at time (28 + 1) = [ [ ], Value Stack at time 28 ] and [ [ ], Value Stack at time 28 ] = [ [ ], [ ] ], then Value Stack at time (28 + 1) = [ [ ], [ ] ] (Transitive Property of Equality)
4	28 + 1 = 29	28 + 1 = 29 (Fixed Value Statement)
5	Value Stack at time (28 + 1) = Value Stack at time 29	if 28 + 1 = 29, then Value Stack at time (28 + 1) = Value Stack at time 29 (Substitution)
6	Value Stack at time 29 = [ [ ], [ ] ]	if Value Stack at time (28 + 1) = Value Stack at time 29 and Value Stack at time (28 + 1) = [ [ ], [ ] ], then Value Stack at time 29 = [ [ ], [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments