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Question Number 71849 by device4438043516@gmail.com last updated on 23/May/20

$$ \\ $$

Answered by MJS last updated on 21/Oct/19

P   Q  P⇒Q  P∧Q  P∧Q=P  1     1      1           1                1  1     0      0           0                0  0     1      1           0                1  0     0      1           0                1  {P⇒Q}≡{P∧Q=P} is true

$${P}\:\:\:{Q}\:\:{P}\Rightarrow{Q}\:\:{P}\wedge{Q}\:\:{P}\wedge{Q}={P} \\ $$$$\mathrm{1}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1} \\ $$$$\mathrm{1}\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{0} \\ $$$$\mathrm{0}\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1} \\ $$$$\mathrm{0}\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{1} \\ $$$$\left\{\mathrm{P}\Rightarrow\mathrm{Q}\right\}\equiv\left\{\mathrm{P}\wedge\mathrm{Q}=\mathrm{P}\right\}\:\mathrm{is}\:\mathrm{true} \\ $$

Commented by mind is power last updated on 21/Oct/19

nice sir

$$\mathrm{nice}\:\mathrm{sir} \\ $$

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