if the following are true:

• instruction #20 is a JAL instruction with jump to: 2
• the PC at time 14 = 20
• value of cell 1 at time 14 = 124

then value of cell 1 at time 15 = 124

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

• value of cell 1 at time 15 = 124,

  if the following are true:

  • a = b
  • b = c

  then a = c

  • value of cell 1 at time 15 = value of cell 1 at time 14,

    if the following are true:

    • a = b
    • a = c

    then b = c

    • value of cell 1 at time (14 + 1) = value of cell 1 at time 15,

      if 14 + 1 = 15, then value of cell 1 at time (14 + 1) = value of cell 1 at time 15

      • 14 + 1 = 15, 14 + 1 = 15
    • value of cell 1 at time (14 + 1) = value of cell 1 at time 14,

      if the following are true:

      • instruction #i is a JAL instruction with jump to: jump_to
      • the PC at time t = i
      • not (x = 2)

      then value of cell x at time (t + 1) = value of cell x at time t

      • instruction #20 is a JAL instruction with jump to: 2
      • the PC at time 14 = 20
      • not (1 = 2), not (1 = 2)
  • value of cell 1 at time 14 = 124