Show that S ∨ R is tautologically implied by (P ∨ Q)∧(P →R ) ∧(Q→S)
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Step-by-step explanation:
Noun of ancestral is 'ancestor'.
So the use of noun form of the word 'ancestral' should be as shown below:
We lived in the house of our ancestors.
Or
We lived in our ancestthat we lived in.
O
We lived in the house that belonged to our ancestors.
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- P ∨ Q [given]
- ¬ P → Q [¬¬P → P ; P → Q ↔ ¬ P ∨ Q]
- Q → S [given]
- ¬ P → S [From 2 and 3 ; P → Q, Q → R => P → R]
- ¬ S → P [R ٨ (P V ¬P) ↔R ; ¬¬P → P]
- P → R [given]
- ¬ P → R [ From 5 and 6; P → Q, Q → R => P → R]
- S V R [ Hence proved]
For further reference refer to:
https://brainly.in/question/33951109
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