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Question Number 178448 by Spillover last updated on 16/Oct/22
Using the algebra propositions simplify (p↔q)→(p→q)
Usingthealgebrapropositionssimplify(p↔q)→(p→q)
Answered by greougoury555 last updated on 16/Oct/22
[(p→q)∧(q→p)]→(p→q) = [ (p∧∼q)∨(q∧∼p)]∨(∼p∨q) = (p∧∼q)∨(∼p∧q)∨(∼p∨q) = T
[(p→q)∧(q→p)]→(p→q)=[(p∧∼q)∨(q∧∼p)]∨(∼p∨q)=(p∧∼q)∨(∼p∧q)∨(∼p∨q)=T

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