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Problem: truth table p or (q and r)=(p or q) and (p or r) [ Calculator, Method and examples ]

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Your problem `->` truth table p or (q and r)=(p or q) and (p or r)


To prove `pvv(q^^r)=(pvvq)^^(pvvr)`, we have to first prepare the following truth table

`(1)``(2)``(3)``(4)=(2)^^(3)``(5)=(1)vv(4)``(6)=(1)vv(2)``(7)=(1)vv(3)``(8)=(6)^^(7)`
`p``q``r``q^^r``pvv(q^^r)``pvvq``pvvr``(pvvq)^^(pvvr)`
TTTTTTTT
TTFFTTTT
TFTFTTTT
TFFFTTTT
FTTTTTTT
FTFFFTFF
FFTFFFTF
FFFFFFFF


from this table, we can say that columns (5) and (8) are identical.
`:. pvv(q^^r)=(pvvq)^^(pvvr)`








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