Proof: Pc 8

Let's prove the following theorem:

if the following are true:

instruction #1 is store src=7 addr=6 imm=0
the PC at time 8 = 1

then the PC at time 9 = 2

Proof:

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Given

1	instruction #1 is `store src=7 addr=6 imm=0`
2	the PC at time 8 = 1

Proof Table

#	Claim	Reason
1	the PC at time (8 + 1) = 1 + 1	if instruction #1 is `store src=7 addr=6 imm=0` and the PC at time 8 = 1, then the PC at time (8 + 1) = 1 + 1 (STORE Instruction Property 3)
2	8 + 1 = 9	8 + 1 = 9 (Fixed Value Statement)
3	1 + 1 = 2	1 + 1 = 2 (Fixed Value Statement)
4	the PC at time (8 + 1) = the PC at time 9	if 8 + 1 = 9, then the PC at time (8 + 1) = the PC at time 9 (Substitution)
5	the PC at time 9 = 2	if the PC at time (8 + 1) = 1 + 1 and the PC at time (8 + 1) = the PC at time 9 and 1 + 1 = 2, then the PC at time 9 = 2 (Transitive Property Application 2)

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