Proof: Get Begin Expr Parent 73

Let's prove the following theorem:

if the following are true:

expression state at time 73 = "begin_expr"
the expression at time 73 = self."y" = 5
parent stack at time 73 = [ ]

then parent stack at time 74 = [ self."y" = 5, [ ] ]

Proof:

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

Given

1	expression state at time 73 = "begin_expr"
2	the expression at time 73 = self."y" = 5
3	parent stack at time 73 = [ ]

Proof Table

#	Claim	Reason
1	parent stack at time (73 + 1) = [ self."y" = 5, parent stack at time 73 ]	if expression state at time 73 = "begin_expr" and the expression at time 73 = self."y" = 5, then parent stack at time (73 + 1) = [ self."y" = 5, parent stack at time 73 ] (Set Attribute Begin Parent Property)
2	[ self."y" = 5, parent stack at time 73 ] = [ self."y" = 5, [ ] ]	if parent stack at time 73 = [ ], then [ self."y" = 5, parent stack at time 73 ] = [ self."y" = 5, [ ] ] (Substitution)
3	parent stack at time (73 + 1) = [ self."y" = 5, [ ] ]	if parent stack at time (73 + 1) = [ self."y" = 5, parent stack at time 73 ] and [ self."y" = 5, parent stack at time 73 ] = [ self."y" = 5, [ ] ], then parent stack at time (73 + 1) = [ self."y" = 5, [ ] ] (Transitive Property of Equality)
4	73 + 1 = 74	73 + 1 = 74 (Fixed Value Statement)
5	parent stack at time (73 + 1) = parent stack at time 74	if 73 + 1 = 74, then parent stack at time (73 + 1) = parent stack at time 74 (Substitution)
6	parent stack at time 74 = [ self."y" = 5, [ ] ]	if parent stack at time (73 + 1) = parent stack at time 74 and parent stack at time (73 + 1) = [ self."y" = 5, [ ] ], then parent stack at time 74 = [ self."y" = 5, [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments