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Wedge In1 (vIn). 1 1. (FvA) > G A [1] 1 F > G GOAL [2]. Wedge In (vIn). 1 1. (FvA) > G A [1] 2 2. F PA [3] G GOAL [4] 1 F > G 2-? > I [2]. Wedge In (vIn). 1 1. (FvA) > G A [1] 2 2. F PA [3]

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Presentation Transcript
wedge in1 vin
Wedge In1 (vIn)

1 1. (FvA)>G A [1]

1 F>G GOAL [2]

wedge in vin
Wedge In (vIn)

1 1. (FvA)>G A [1]

2 2. F PA [3]

G GOAL [4]

1 F>G 2-? >I [2]

wedge in vin1
Wedge In (vIn)

1 1. (FvA)>G A [1]

2 2. F PA [3]

FvA GOAL [5]

G 1,? >O [4]

1 F>G 2-? >I [2]

wedge in vin2
Wedge In (vIn)

vIn

A A

AvB BvA

1 1. (FvA)>G A [1]

2 2. F PA [3]

FvA GOAL [5]

G 1,? >O [4]

1 F>G 2-? >I [2]

wedge in vin3
Wedge In (vIn)

vIn

A A

AvB BvA

1 1. (FvA)>G A [1]

2 2. F PA [3]

2 3. FvA 2, vI [5]

1,2 4. G 1,3 >O [4]

1 5. F>G 2-4 >I [2]

wedge in vin4
Wedge In (vIn)

vIn

A A

AvB BvA

wedge in vin5
Wedge In (vIn)

vIn

A A

AvB BvA

1. P&Q A

2. P 1 &O

3. Q 1 &O

4. PvQ 1,2 vI

wedge in vin6
Wedge In (vIn)

vIn

A A

AvB BvA

1. P&Q A

2. P 1 &O

3. Q 1 &O

4. PvQ 1,2 vI

vIn HAS ONE PREMISE ONLY

wedge in vin7
Wedge In (vIn)

vIn

A A

AvB BvA

1. P&Q A

2. P 1 &O

3. Q 1 &O

4. PvQ 2 vI CORRECT

vIn HAS ONE PREMISE ONLY

wedge in vin8
Wedge In (vIn)

1 1. -(OvB) A [1]

1 -O&-B ?,? &I [2]

wedge in vin9
Wedge In (vIn)

1 1. -(OvB) A [1]

1 -O GOAL [3]

1 -B GOAL [4]

1 -O&-B ?,? &I [2]

wedge in vin10
Wedge In (vIn)

1 1. -(OvB) A [1]

1 -O ?-? -I [3]

1 -B GOAL [4]

1 -O&-B ?,? &I [2]

wedge in vin11
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

?&-? GOAL

1 -O 2-? -I [3]

-B GOAL [4]

1 -O&-B ?,? &I [2]

wedge in vin12
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

(OvB)&-(OvB) GOAL [6]

1 -O 2-? -I [3]

-B GOAL [4]

1 -O&-B ?,? &I [2]

wedge in vin13
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

OvB GOAL

(OvB)&-(OvB) ?,1 &I [6]

1 -O 2-? -I [3]

-B GOAL [4]

1 -O&-B ?,? &I [2]

wedge in vin14
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

-B GOAL [4]

1 -O&-B 5,? &I [2]

wedge in vin15
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

-B ?-? -I [4]

1 -O&-B 5,? &I [2]

wedge in vin16
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

6 6. B PA [8]

?&-? GOAL

-B 6-? -I [4]

1 -O&-B 5,? &I [2]

wedge in vin17
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

6 6. B PA [8]

(OvB)&-(OvB) ?,1 &I [9]

-B 6-? -I [4]

1 -O&-B 5,? &I [2]

wedge in vin18
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

6 6. B PA [8]

OvB GOAL

(OvB)&-(OvB) ?,1 &I [9]

-B 6-? -I [4]

1 -O&-B 5,? &I [2]

wedge in vin19
Wedge In (vIn)

1 1. -(OvB) A [1]

2 2. O PA [5]

2 3. OvB 2 vI [7]

1,2 4. (OvB)&-(OvB) 3,1 &I [6]

1 5. -O 2-4 -I [3]

6 6. B PA [8]

6 7. OvB 6 vI [10]

1,6 8. (OvB)&-(OvB) 7,1 &I [9]

1 9. -B 6-8 -I [4]

1 10. -O&-B 5,9 &I [2]

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