Let's say we're in a proof and we know: (∀d)(S(d)→R(c,d))→(∀d)(M(d)→R(c,d)) Suppose we wanted to do universal instantiation, substituting scrat for the d's bounded by the first (leftmost) occurrence of (∀d). What is the result of this substitution? Group of answer choices (S(scrat)→R(c,scrat))→(∀d)(M(d)→R(c,d)) (S(scrat)→R(c,scrat))→(M(scrat)→R(c,scrat)) S(scrat)→R(c,scrat) (∀d)(S(d)→R(c,d)→(M(d)→R(c,d))) 2. In a proof, which of the following lines "push the stack?" (I.e., add to the number of vertical lines on the left-hand-side?) Group of answer choices Let n be an arbitrary natural number. Since a
Let's say we're in a proof and we know: (∀d)(S(d)→R(c,d))→(∀d)(M(d)→R(c,d)) Suppose we wanted to do universal instantiation, substituting scrat for the d's bounded by the first (leftmost) occurrence of (∀d). What is the result of this substitution? Group of answer choices (S(scrat)→R(c,scrat))→(∀d)(M(d)→R(c,d)) (S(scrat)→R(c,scrat))→(M(scrat)→R(c,scrat)) S(scrat)→R(c,scrat) (∀d)(S(d)→R(c,d)→(M(d)→R(c,d))) 2. In a proof, which of the following lines "push the stack?" (I.e., add to the number of vertical lines on the left-hand-side?) Group of answer choices Let n be an arbitrary natural number. Since a
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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Let's say we're in a proof and we know:
(∀d)(S(d)→R(c,d))→(∀d)(M(d)→R(c,d))
Suppose we wanted to do universal instantiation, substituting scrat for the d's bounded by the first (leftmost) occurrence of (∀d). What is the result of this substitution?
Group of answer choices
(S(scrat)→R(c,scrat))→(∀d)(M(d)→R(c,d))
(S(scrat)→R(c,scrat))→(M(scrat)→R(c,scrat))
S(scrat)→R(c,scrat)
(∀d)(S(d)→R(c,d)→(M(d)→R(c,d)))
2. In a proof, which of the following lines "push the stack?" (I.e., add to the number of vertical lines on the left-hand-side?)
Group of answer choices
Let n be an arbitrary natural number.
Since a<b and a<b→0<c2, we can conclude 0<c2.
Assume a<b.
Since (∀c)R(c,c), R(e,e).
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