Proof: Add Insn 17

Let's prove the following theorem:

if the following are true:

the PC at time 17 = 4
instruction #4 is add dst=3 src1=3 src2=4

then value of cell 3 at time 18 = (value of cell 3 at time 17) + (value of cell 4 at time 17)

Proof:

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Given

1	the PC at time 17 = 4
2	instruction #4 is `add dst=3 src1=3 src2=4`

Proof Table

#	Claim	Reason
1	value of cell 3 at time (17 + 1) = (value of cell 3 at time 17) + (value of cell 4 at time 17)	if instruction #4 is `add dst=3 src1=3 src2=4` and the PC at time 17 = 4, then value of cell 3 at time (17 + 1) = (value of cell 3 at time 17) + (value of cell 4 at time 17) (ADD Instruction Property)
2	17 + 1 = 18	17 + 1 = 18 (Fixed Value Statement)
3	value of cell 3 at time (17 + 1) = value of cell 3 at time 18	if 17 + 1 = 18, then value of cell 3 at time (17 + 1) = value of cell 3 at time 18 (Substitution)
4	value of cell 3 at time 18 = (value of cell 3 at time 17) + (value of cell 4 at time 17)	if value of cell 3 at time (17 + 1) = value of cell 3 at time 18 and value of cell 3 at time (17 + 1) = (value of cell 3 at time 17) + (value of cell 4 at time 17), then value of cell 3 at time 18 = (value of cell 3 at time 17) + (value of cell 4 at time 17) (Transitive Property of Equality Variation 2)

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