Proof: Pc 24

Let's prove the following theorem:

if the following are true:

instruction #24 is store src=3 addr=1 imm=0
the PC at time 24 = 24

then the PC at time 25 = 25

Proof:

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Given

1	instruction #24 is `store src=3 addr=1 imm=0`
2	the PC at time 24 = 24

Proof Table

#	Claim	Reason
1	the PC at time (24 + 1) = 24 + 1	if instruction #24 is `store src=3 addr=1 imm=0` and the PC at time 24 = 24, then the PC at time (24 + 1) = 24 + 1 (STORE Instruction Property 3)
2	24 + 1 = 25	24 + 1 = 25 (Fixed Value Statement)
3	the PC at time (24 + 1) = the PC at time 25	if 24 + 1 = 25, then the PC at time (24 + 1) = the PC at time 25 (Substitution)
4	the PC at time 25 = 25	if the PC at time (24 + 1) = 24 + 1 and the PC at time (24 + 1) = the PC at time 25 and 24 + 1 = 25, then the PC at time 25 = 25 (Transitive Property Application 2)

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