Proof: Do Variables At Unchanged 29

Let's prove the following theorem:

if the following are true:
  • expression state at time 29 = "begin_expr"
  • Variables Map at time 29 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

then Variables Map at time 30 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

Proof:

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

Given
1 expression state at time 29 = "begin_expr"
2 Variables Map at time 29 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]
Proof Table
# Claim Reason
1 Variables Map at time (29 + 1) = Variables Map at time 29 if expression state at time 29 = "begin_expr", then Variables Map at time (29 + 1) = Variables Map at time 29
2 Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ] if Variables Map at time (29 + 1) = Variables Map at time 29 and Variables Map at time 29 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ], then Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]
3 29 + 1 = 30 29 + 1 = 30
4 Variables Map at time (29 + 1) = Variables Map at time 30 if 29 + 1 = 30, then Variables Map at time (29 + 1) = Variables Map at time 30
5 Variables Map at time 30 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ] if Variables Map at time (29 + 1) = Variables Map at time 30 and Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ], then Variables Map at time 30 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

Comments

Please log in to add comments