Transitive Property of Equality Variation 2
Transitive Property Application 2
Pc 4

Proof: Pc 4

Let's prove the following theorem:

if the following are true:
  • instruction #4 is add dst=3 src1=1 src2=2
  • the PC at time 4 = 4

then the PC at time 5 = 5

Instructions
Memory Cells
Program Counter Time
0 0
LW Computer Simulator

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 instruction #4 is add dst=3 src1=1 src2=2
2 the PC at time 4 = 4
Proof Table
# Claim Reason
1 the PC at time (4 + 1) = 4 + 1 if instruction #4 is add dst=3 src1=1 src2=2 and the PC at time 4 = 4, then the PC at time (4 + 1) = 4 + 1
2 4 + 1 = 5 4 + 1 = 5
3 the PC at time (4 + 1) = the PC at time 5 if 4 + 1 = 5, then the PC at time (4 + 1) = the PC at time 5
4 the PC at time 5 = 5 if the PC at time (4 + 1) = 4 + 1 and the PC at time (4 + 1) = the PC at time 5 and 4 + 1 = 5, then the PC at time 5 = 5
Previous Lesson

Comments

Please log in to add comments