Transitive Property of Equality Variation 2
Transitive Property Application 2
Pc 18

Proof: Pc 18

Let's prove the following theorem:

if the following are true:
  • instruction #6 is addi dst=2 src=3 imm=0
  • the PC at time 18 = 6

then the PC at time 19 = 7

Instructions
Memory Cells
Program Counter Time
0 0
LW Computer Simulator

Proof:

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Given
1 instruction #6 is addi dst=2 src=3 imm=0
2 the PC at time 18 = 6
Proof Table
# Claim Reason
1 the PC at time (18 + 1) = 6 + 1 if instruction #6 is addi dst=2 src=3 imm=0 and the PC at time 18 = 6, then the PC at time (18 + 1) = 6 + 1
2 18 + 1 = 19 18 + 1 = 19
3 6 + 1 = 7 6 + 1 = 7
4 the PC at time (18 + 1) = the PC at time 19 if 18 + 1 = 19, then the PC at time (18 + 1) = the PC at time 19
5 the PC at time 19 = 7 if the PC at time (18 + 1) = 6 + 1 and the PC at time (18 + 1) = the PC at time 19 and 6 + 1 = 7, then the PC at time 19 = 7
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