Suppose we have the following propositions:P: I$08$ daytime$\mathrm{.}9$: I$\text{'}$m checking my email.Write each of the following propositions in symbolic form, then complete a truth fable for each proposition. Use intermediate colurns as necessary.A$)$ I$\text{'}$m not checking my email$\mathrm{.}3)$ It's daytime or it's nigittime.TTFC$)$ It's nighttime, but I$\text{'}$m checking iny etail.Pit's datine $1$ Em checkin$-$ my email.FFFE$)$ It's nighetime if and only if I'mnot checking my email.F$)$ Le is not the case that: If Im checking my email: it's daytime.