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Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist., Contrap., Export.) to prove the following arguments. i) A ≡ ~(BvC) B ≡ (D·~E) ~(E·A)                      /∴A - ~D        g) ~(P≡Q)                            /∴ P ⊃~Q

Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist., Contrap., Export.) to prove the following arguments. i) A ≡ ~(BvC) B ≡ (D·~E) ~(E·A)                      /∴A - ~D        g) ~(P≡Q)                            /∴ P ⊃~Q

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
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Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist., Contrap., Export.) to prove the following arguments.

i)

  1. A ≡ ~(BvC)
  2. B ≡ (D·~E)
  3. ~(E·A)                      /∴A - ~D   

 

 

g)

  1. ~(P≡Q)                            /∴ P ⊃~Q         
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