Proof: Get Begin Expr Params 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")
arguments stack at time 28 = [ ]

then arguments stack at time 29 = [ [ locations, [ "ES", [ "Spain", [ ] ] ] ], [ ] ]

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	arguments stack at time 28 = [ ]

Proof Table

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

Comments

Please log in to add comments