Check if the following proof by contradiction is correct. Also, what are the justifications for 9 and 10?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Check if the following proof by contradiction is correct. Also, what are the justifications for 9 and 10?

 

6) (Pva) →s
Hypothelical Sy llogism
on 1) and 5)
using Conditiên al on (3)
7) ~pv~Q
8)
De mosgan on (7)
g)
( by
I by (1))
PR
1o)
Q->R
1)
Hpothetical sy
on (9) and G))
Hence
Prove by
Contradiction.
Transcribed Image Text:6) (Pva) →s Hypothelical Sy llogism on 1) and 5) using Conditiên al on (3) 7) ~pv~Q 8) De mosgan on (7) g) ( by I by (1)) PR 1o) Q->R 1) Hpothetical sy on (9) and G)) Hence Prove by Contradiction.
RVS
P→~Q
Posof
Stutement
Justification
premise
1) (PvQ)→~R
2)
RVS
Premise
3)
pre mise
4) ~(Pas)
poeliminazy Assumption
5) ~R-> S
using conditional Law on (2)
Transcribed Image Text:RVS P→~Q Posof Stutement Justification premise 1) (PvQ)→~R 2) RVS Premise 3) pre mise 4) ~(Pas) poeliminazy Assumption 5) ~R-> S using conditional Law on (2)
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