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6. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), 3x(Gx&Px) F 3xy(Gy&Lxy)

6. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), 3x(Gx&Px) F 3xy(Gy&Lxy)

Advanced Engineering Mathematics
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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For each of the following sequents, provide a proof that demonstrates their validity.

6. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), Ix(Gx&Px) F 3ry(Gy&Lxy) 7. Vx((Gr&Px)→]yLxy), Vxy(Lxy→Lyx), Ga&Pb - a=b→3yLay 8. Vx((Gr&Px)→3¥LXY), Vxy(Lxy→Lyx), Ga&Pb - a=b→3y(Lya&Lby) 9. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), Vxyz((Lxy&Lyz)→Lx=), Ga&Pb F a=b→3xLxx
Transcribed Image Text:6. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), Ix(Gx&Px) F 3ry(Gy&Lxy) 7. Vx((Gr&Px)→]yLxy), Vxy(Lxy→Lyx), Ga&Pb - a=b→3yLay 8. Vx((Gr&Px)→3¥LXY), Vxy(Lxy→Lyx), Ga&Pb - a=b→3y(Lya&Lby) 9. Vx((Gx&Px)→3yLxy), Vxy(Lxy→Lyx), Vxyz((Lxy&Lyz)→Lx=), Ga&Pb F a=b→3xLxx
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