if the following are true:

• instruction #9 is jump imm=(-6)
• the PC at time 21 = 9
• value of cell 3 at time 21 = 3

then value of cell 3 at time 22 = 3

Start from the conclusion and work back up the proof. Click the arrow to show the parents.

• value of cell 3 at time 22 = 3,

  if the following are true:

  • a = b
  • b = c

  then a = c

  • value of cell 3 at time 22 = value of cell 3 at time 21,

    if the following are true:

    • a = b
    • a = c

    then b = c

    • value of cell 3 at time (21 + 1) = value of cell 3 at time 22,

      if 21 + 1 = 22, then value of cell 3 at time (21 + 1) = value of cell 3 at time 22

      • 21 + 1 = 22, 21 + 1 = 22
    • value of cell 3 at time (21 + 1) = value of cell 3 at time 21,

      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 21 = 9
  • value of cell 3 at time 21 = 3