SOLUTION: 1. P ⊃ ~M 2. C ⊃ M 3. ~L v C 4. (~P ⊃ ~E) • (~E ⊃ ~C) 5. P v ~P /~L

Algebra ->  Proofs -> SOLUTION: 1. P ⊃ ~M 2. C ⊃ M 3. ~L v C 4. (~P ⊃ ~E) • (~E ⊃ ~C) 5. P v ~P /~L       Log On


   



Question 1179975: 1. P ⊃ ~M
2. C ⊃ M
3. ~L v C
4. (~P ⊃ ~E) • (~E ⊃ ~C)
5. P v ~P /~L

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!

Assume P, then ~M by 1, Modus Ponens, then ~C by 2, Modus Tolens, then ~L by 3, Disjunctive Syllogism.
Assume ~P, ~P -> ~E by 4, Simplification, then ~E by Modus Ponens, then ~E -> ~C by 4 Simplification, then ~C by Modus Ponens, then ~L by Disjunctive Syllogism.

John

My calculator said it, I believe it, that settles it

From
I > Ø