Proof: Load 0

Let's prove the following theorem:

if the following are true:

instruction #0 is load dst=7 addr=5 imm=0
the PC at time 0 = 0
value of cell 5 at time 0 = 8
value of cell 8 at time 0 = 24

then value of cell 7 at time 1 = 24

Proof:

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Given

1	instruction #0 is `load dst=7 addr=5 imm=0`
2	the PC at time 0 = 0
3	value of cell 5 at time 0 = 8
4	value of cell 8 at time 0 = 24

Proof Table

#	Claim	Reason
1	value of cell 7 at time (0 + 1) = value of cell ((value of cell 5 at time 0) + 0) at time 0	if instruction #0 is `load dst=7 addr=5 imm=0` and the PC at time 0 = 0, then value of cell 7 at time (0 + 1) = value of cell ((value of cell 5 at time 0) + 0) at time 0 (LOAD Instruction Property)
2	(value of cell 5 at time 0) + 0 = 8 + 0	if value of cell 5 at time 0 = 8, then (value of cell 5 at time 0) + 0 = 8 + 0 (Additive Property of Equality)
3	8 + 0 = 8	8 + 0 = 8 (Additive Identity)
4	(value of cell 5 at time 0) + 0 = 8	if (value of cell 5 at time 0) + 0 = 8 + 0 and 8 + 0 = 8, then (value of cell 5 at time 0) + 0 = 8 (Transitive Property of Equality)
5	value of cell ((value of cell 5 at time 0) + 0) at time 0 = value of cell 8 at time 0	if (value of cell 5 at time 0) + 0 = 8, then value of cell ((value of cell 5 at time 0) + 0) at time 0 = value of cell 8 at time 0 (Substitution)
6	value of cell ((value of cell 5 at time 0) + 0) at time 0 = 24	if value of cell ((value of cell 5 at time 0) + 0) at time 0 = value of cell 8 at time 0 and value of cell 8 at time 0 = 24, then value of cell ((value of cell 5 at time 0) + 0) at time 0 = 24 (Transitive Property of Equality)
7	value of cell 7 at time (0 + 1) = 24	if value of cell 7 at time (0 + 1) = value of cell ((value of cell 5 at time 0) + 0) at time 0 and value of cell ((value of cell 5 at time 0) + 0) at time 0 = 24, then value of cell 7 at time (0 + 1) = 24 (Transitive Property of Equality)
8	0 + 1 = 1	0 + 1 = 1 (Additive Identity Variation)
9	value of cell 7 at time (0 + 1) = value of cell 7 at time 1	if 0 + 1 = 1, then value of cell 7 at time (0 + 1) = value of cell 7 at time 1 (Substitution)
10	value of cell 7 at time 1 = 24	if value of cell 7 at time (0 + 1) = value of cell 7 at time 1 and value of cell 7 at time (0 + 1) = 24, then value of cell 7 at time 1 = 24 (Transitive Property of Equality Variation 2)

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