Proof: Addi Zero Insn 2

Let's prove the following theorem:

if the following are true:

instruction #2 is addi dst=4 src=0 imm=0
the PC at time 2 = 2

then value of cell 4 at time 3 = 0

Instructions

Memory Cells

Program Counter	Time
0	0

LW Computer Simulator

Proof:

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Given

1	instruction #2 is `addi dst=4 src=0 imm=0`
2	the PC at time 2 = 2

Proof Table

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

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