Proof: Jump Help 1

Let's prove the following theorem:

if the following are true:
  • instruction #1 is jump imm=8
  • the PC at time 1 = 1

then the PC at time 2 = 8

Proof:

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Given
1 instruction #1 is jump imm=8
2 the PC at time 1 = 1
Proof Table
# Claim Reason
1 the PC at time (1 + 1) = 8 if instruction #1 is jump imm=8 and the PC at time 1 = 1, then the PC at time (1 + 1) = 8
2 1 + 1 = 2 1 + 1 = 2
3 the PC at time (1 + 1) = the PC at time 2 if 1 + 1 = 2, then the PC at time (1 + 1) = the PC at time 2
4 the PC at time 2 = 8 if the PC at time (1 + 1) = the PC at time 2 and the PC at time (1 + 1) = 8, then the PC at time 2 = 8

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