Proof: Pc 7

Let's prove the following theorem:

if the following are true:

instruction #13 is store src=3 addr=1 imm=0
the PC at time 7 = 13

then the PC at time 8 = 14

Proof:

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Given

1	instruction #13 is `store src=3 addr=1 imm=0`
2	the PC at time 7 = 13

Proof Table

#	Claim	Reason
1	the PC at time (7 + 1) = 13 + 1	if instruction #13 is `store src=3 addr=1 imm=0` and the PC at time 7 = 13, then the PC at time (7 + 1) = 13 + 1 (STORE Instruction Property 3)
2	7 + 1 = 8	7 + 1 = 8 (Fixed Value Statement)
3	13 + 1 = 14	13 + 1 = 14 (Fixed Value Statement)
4	the PC at time (7 + 1) = the PC at time 8	if 7 + 1 = 8, then the PC at time (7 + 1) = the PC at time 8 (Substitution)
5	the PC at time 8 = 14	if the PC at time (7 + 1) = 13 + 1 and the PC at time (7 + 1) = the PC at time 8 and 13 + 1 = 14, then the PC at time 8 = 14 (Transitive Property Application 2)

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