Quiz (1 point)
Given that:
the line at time 14 = 5
the tab at time 14 = 1
number of lines = 5 - 1
Control Map at time 14 = [ entry 0: (pair ("if", False)), [ ] ]
Prove that:
the tab at time 15 = 0
The following properties may be helpful:
- 1 - 1 = 0
- 14 + 1 = 15
if Control Map at time 14 = [ entry 0: (pair ("if", False)), [ ] ], then value at (1 - 1) in map (Control Map at time 14) = pair ("if", False)
if the following are true:
- the line at time t = i
- the tab at time t = j
- number of lines = i - 1
- value at (j - 1) in map (Control Map at time t) = pair ("if", if_value)
then the tab at time (t + 1) = j - 1
if the following are true:
- a = b
- b = c
then a = c
if 14 + 1 = 15, then the tab at time (14 + 1) = the tab at time 15
if the following are true:
- a = b
- a = c
then b = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.