Proof: Addi Zero Insn 5

Let's prove the following theorem:

if the following are true:

instruction #11 is addi dst=3 src=0 imm=3
the PC at time 5 = 11

then value of cell 3 at time 6 = 3

Proof:

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Given

1	instruction #11 is `addi dst=3 src=0 imm=3`
2	the PC at time 5 = 11

Proof Table

#	Claim	Reason
1	value of cell 3 at time (5 + 1) = 3	if instruction #11 is `addi dst=3 src=0 imm=3` and the PC at time 5 = 11, then value of cell 3 at time (5 + 1) = 3 (Addi to Zero)
2	5 + 1 = 6	5 + 1 = 6 (Fixed Value Statement)
3	value of cell 3 at time (5 + 1) = value of cell 3 at time 6	if 5 + 1 = 6, then value of cell 3 at time (5 + 1) = value of cell 3 at time 6 (Substitution)
4	value of cell 3 at time 6 = 3	if value of cell 3 at time (5 + 1) = value of cell 3 at time 6 and value of cell 3 at time (5 + 1) = 3, then value of cell 3 at time 6 = 3 (Transitive Property of Equality Variation 2)

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