Use rules of inference to show that if ∀ x ( P ( x ) → ( Q ( x ) ∧ S ( x ) ) ) and ∀ x ( P ( x ) ∧ R ( x ) ) are true, then ∀ x ( R ( x ) ∧ S ( x ) ) is true.
Use rules of inference to show that if ∀ x ( P ( x ) → ( Q ( x ) ∧ S ( x ) ) ) and ∀ x ( P ( x ) ∧ R ( x ) ) are true, then ∀ x ( R ( x ) ∧ S ( x ) ) is true.
Solution Summary: The author explains the rules of inference for a given premise: if lforall
Use rules of inference to show that if
∀
x
(
P
(
x
)
→
(
Q
(
x
)
∧
S
(
x
)
)
)
and
∀
x
(
P
(
x
)
∧
R
(
x
)
)
are true, then
∀
x
(
R
(
x
)
∧
S
(
x
)
)
is true.
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