if the following are true:- instruction #9 is
jump imm=(-6)
- the PC at time 15 = 9
- value of cell 1 at time 15 = 1
jump imm=(-6)
then value of cell 1 at time 16 = 1
Start from the conclusion and work back up the proof. Click the arrow to show the parents.
- value of cell 1 at time 16 = 1,
if the following are true:
- a = b
- b = c
then a = c
- value of cell 1 at time 16 = value of cell 1 at time 15,
if the following are true:
- a = b
- a = c
then b = c
- value of cell 1 at time (15 + 1) = value of cell 1 at time 16,
if 15 + 1 = 16, then value of cell 1 at time (15 + 1) = value of cell 1 at time 16
- 15 + 1 = 16, 15 + 1 = 16
- value of cell 1 at time (15 + 1) = value of cell 1 at time 15,
if the following are true:
- instruction #i is
jump imm=jump_to
- the PC at time t = i
then value of cell x at time (t + 1) = value of cell x at time t
- instruction #9 is
jump imm=(-6)
- the PC at time 15 = 9
- instruction #i is
- value of cell 1 at time 15 = 1