Proof: Pc 16

Let's prove the following theorem:

if the following are true:

instruction #2 is addi dst=5 src=5 imm=1
the PC at time 16 = 2

then the PC at time 17 = 3

Proof:

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Given

1	instruction #2 is `addi dst=5 src=5 imm=1`
2	the PC at time 16 = 2

Proof Table

#	Claim	Reason
1	the PC at time (16 + 1) = 2 + 1	if instruction #2 is `addi dst=5 src=5 imm=1` and the PC at time 16 = 2, then the PC at time (16 + 1) = 2 + 1 (Program Counter on ADDI)
2	16 + 1 = 17	16 + 1 = 17 (Fixed Value Statement)
3	2 + 1 = 3	2 + 1 = 3 (Fixed Value Statement)
4	the PC at time (16 + 1) = the PC at time 17	if 16 + 1 = 17, then the PC at time (16 + 1) = the PC at time 17 (Substitution)
5	the PC at time 17 = 3	if the PC at time (16 + 1) = 2 + 1 and the PC at time (16 + 1) = the PC at time 17 and 2 + 1 = 3, then the PC at time 17 = 3 (Transitive Property Application 2)

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