if the following are true:

• instruction #6 is jump imm=3
• the PC at time 6 = 6
• value of cell 4 at time 6 = 1

then value of cell 4 at time 7 = 1

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

• value of cell 4 at time 7 = 1,

  if the following are true:

  • a = b
  • b = c

  then a = c

  • value of cell 4 at time 7 = value of cell 4 at time 6,

    if the following are true:

    • a = b
    • a = c

    then b = c

    • value of cell 4 at time (6 + 1) = value of cell 4 at time 7,

      if 6 + 1 = 7, then value of cell 4 at time (6 + 1) = value of cell 4 at time 7

      • 6 + 1 = 7, 6 + 1 = 7
    • value of cell 4 at time (6 + 1) = value of cell 4 at time 6,

      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 #6 is jump imm=3
      • the PC at time 6 = 6
  • value of cell 4 at time 6 = 1