Transitive Property of Equality Variation 2
Transitive Property Application 2
Pc 5

Proof: Pc 5

Let's prove the following theorem:

if the following are true:
  • instruction #5 is addi dst=1 src=2 imm=0
  • the PC at time 5 = 5

then the PC at time 6 = 6

Instructions
Memory Cells
Program Counter Time
0 0
LW Computer Simulator

Proof:

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