1. Vx(Gx→Px) F VxGx→VxPx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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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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