1. Vx(Gx→Px) F VxGx→VxPx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For each of the following sequents, provide a proof that demonstrates their validity.

1. Vx(Gx→Px) E VxGx→VxPx
2. Vx(Gx→Px), Vx(PX→HX) F Ga→Ha
3. Vx(Gx→Px), Vx(Px→Hx) F x(Gx→Hx)
4. Vx(Gx→Px), Vx(Px→Hx) - vx(~Hx→»Gx)
5. Vx((Gx&Px)→3yLry), Ix(Gx&Px) F 3ryLxy
Transcribed Image Text:1. Vx(Gx→Px) E VxGx→VxPx 2. Vx(Gx→Px), Vx(PX→HX) F Ga→Ha 3. Vx(Gx→Px), Vx(Px→Hx) F x(Gx→Hx) 4. Vx(Gx→Px), Vx(Px→Hx) - vx(~Hx→»Gx) 5. Vx((Gx&Px)→3yLry), Ix(Gx&Px) F 3ryLxy
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