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Question Number 148051 by abdurehime last updated on 25/Jul/21

$$\rightharpoondown (\rightharpoondown \mathrm{p}\to \mathrm{q})\vee (\mathrm{p}\wedge \rightharpoondown \mathrm{q})$$$$\mathrm{simplify}$$

Commented by abdurehime last updated on 25/Jul/21

$$\mathrm{please}\mathrm{sir}\mathrm{help}\mathrm{me}$$

Commented by abdurehime last updated on 25/Jul/21

$$\mathrm{why}\mathrm{not}\mathrm{jump}\mathrm{my}\mathrm{question}$$

Answered by iloveisrael last updated on 25/Jul/21

$$\mathrm{p}\to \mathrm{q}=\rightharpoondown \mathrm{p}\vee \mathrm{q}$$$$\rightharpoondown \mathrm{p}\to \mathrm{q}=\mathrm{p}\vee \mathrm{q}$$$$\rightharpoondown (\rightharpoondown \mathrm{p}\to \mathrm{q})=\rightharpoondown \mathrm{p}\wedge \rightharpoondown \mathrm{q}$$$$\rightharpoondown (\rightharpoondown \mathrm{p}\to \mathrm{q})\vee (\mathrm{p}\wedge \rightharpoondown \mathrm{q})=$$$$(\rightharpoondown \mathrm{p}\wedge \rightharpoondown \mathrm{q})\vee (\mathrm{p}\wedge \rightharpoondown \mathrm{q})=$$$$\rightharpoondown \mathrm{q}\wedge (\rightharpoondown \mathrm{p}\vee \mathrm{p})=\rightharpoondown \mathrm{q}$$$$$$

Commented by abdurehime last updated on 25/Jul/21

Commented by abdurehime last updated on 25/Jul/21

$$\mathrm{have}\mathrm{you}\mathrm{finished}???$$

Commented by iloveisrael last updated on 25/Jul/21

$$\mathrm{yes}$$

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