Proof: Pc 21

Let's prove the following theorem:

if the following are true:

instruction #21 is load dst=3 addr=1 imm=0
the PC at time 21 = 21

then the PC at time 22 = 22

Proof:

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Given

1	instruction #21 is `load dst=3 addr=1 imm=0`
2	the PC at time 21 = 21

Proof Table

#	Claim	Reason
1	the PC at time (21 + 1) = 21 + 1	if instruction #21 is `load dst=3 addr=1 imm=0` and the PC at time 21 = 21, then the PC at time (21 + 1) = 21 + 1 (LOAD Instruction Property 3)
2	21 + 1 = 22	21 + 1 = 22 (Fixed Value Statement)
3	the PC at time (21 + 1) = the PC at time 22	if 21 + 1 = 22, then the PC at time (21 + 1) = the PC at time 22 (Substitution)
4	the PC at time 22 = 22	if the PC at time (21 + 1) = 21 + 1 and the PC at time (21 + 1) = the PC at time 22 and 21 + 1 = 22, then the PC at time 22 = 22 (Transitive Property Application 2)

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