Reduce the proposition (m∧s)∨¬(¬m∨s) to m using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used.
Reduce the proposition (m∧s)∨¬(¬m∨s) to m using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Reduce the proposition (m∧s)∨¬(¬m∨s) to m using laws, including de Morgan's and conditional. Please put them in order, I attached a photo of the laws that can be used.
Thanks!

Transcribed Image Text:Laws
Distributive
Complement
(алb)v(алс) 3
an(bvc)
= T
av¬a
(avb)^(avc) =
av(bac)
ал-а
Commutative
-T
= F
avb
bva
-F
= T
anb
Бла
Identity
De Morgan's
алт
= a
-(anb)
-av-b
avF
= a
-(avb)
-an-b
Double negation
Conditional
= a
a-b
¬avb
ab
(a→b)^(b→a)
II
II
II
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