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a) Show by example that (3) in general is not equal to . And Х b) it is possible for x to occur in () instead of where it does not occur in 4, such as x x occurs in instead of where it does not occur in (3). c) Show that if y does not occur in §, then x is substitutable for y in på and (x) = p. Hint: Use induction on . x

a) Show by example that (3) in general is not equal to . And Х b) it is possible for x to occur in () instead of where it does not occur in 4, such as x x occurs in instead of where it does not occur in (3). c) Show that if y does not occur in §, then x is substitutable for y in på and (x) = p. Hint: Use induction on . x

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.1: Algebraic Expressions
Problem 2E
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Mathematical Logic First-order or predicate logic. Replacement lemma a) Show by example that (x) in general is not equal to . And Х b) it is possible for x to occur in () instead of where it does not occur in , such as х x occurs in instead of where it does not occur in (). c) Show that if y does not occur in y, then x is substitutable for y in o and (93) = p. Hint: Use induction on . X Please be as clear as possible. Explain in detail your answer. Thank you very much.
Transcribed Image Text:Mathematical Logic First-order or predicate logic. Replacement lemma a) Show by example that (x) in general is not equal to . And Х b) it is possible for x to occur in () instead of where it does not occur in , such as х x occurs in instead of where it does not occur in (). c) Show that if y does not occur in y, then x is substitutable for y in o and (93) = p. Hint: Use induction on . X Please be as clear as possible. Explain in detail your answer. Thank you very much.
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