Problem 10. Suppose A and I are sets of formulae and A and B are formulae (in propositional logic). Prove that if AU{A} FB and IH A, then AUTHB.
Problem 10. Suppose A and I are sets of formulae and A and B are formulae (in propositional logic). Prove that if AU{A} FB and IH A, then AUTHB.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Transcribed Image Text:Problem 10. Suppose A and I are sets of formulae and A and B are formulae
(in propositional logic). Prove that if AU{A} HB_and THA, then AUTH B.
Problem 11. Prove that if I A and AEA = B for some A C T, then
TH B.
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