Proof: Get Begin Expr Value 43

Let's prove the following theorem:

if the following are true:

expression state at time 43 = "begin_expr"
the expression at time 43 = self."x" = __add__(self.x, 5)
Value Stack at time 43 = [ ]

then Value Stack at time 44 = [ [ ], [ ] ]

Proof:

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

Given

1	expression state at time 43 = "begin_expr"
2	the expression at time 43 = self."x" = `__add__(self.x, 5)`
3	Value Stack at time 43 = [ ]

Proof Table

#	Claim	Reason
1	Value Stack at time (43 + 1) = [ [ ], Value Stack at time 43 ]	if expression state at time 43 = "begin_expr" and the expression at time 43 = self."x" = `__add__(self.x, 5)`, then Value Stack at time (43 + 1) = [ [ ], Value Stack at time 43 ] (Begin Set Attribute Arguments (1))
2	[ [ ], Value Stack at time 43 ] = [ [ ], [ ] ]	if Value Stack at time 43 = [ ], then [ [ ], Value Stack at time 43 ] = [ [ ], [ ] ] (Substitution)
3	Value Stack at time (43 + 1) = [ [ ], [ ] ]	if Value Stack at time (43 + 1) = [ [ ], Value Stack at time 43 ] and [ [ ], Value Stack at time 43 ] = [ [ ], [ ] ], then Value Stack at time (43 + 1) = [ [ ], [ ] ] (Transitive Property of Equality)
4	43 + 1 = 44	43 + 1 = 44 (Fixed Value Statement)
5	Value Stack at time (43 + 1) = Value Stack at time 44	if 43 + 1 = 44, then Value Stack at time (43 + 1) = Value Stack at time 44 (Substitution)
6	Value Stack at time 44 = [ [ ], [ ] ]	if Value Stack at time (43 + 1) = Value Stack at time 44 and Value Stack at time (43 + 1) = [ [ ], [ ] ], then Value Stack at time 44 = [ [ ], [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments