All 2-argument boolean functions
Function(t,t)(t,f)(f,t)(f,f)
all true tttt
tttf
ttft
π1ttff
tftt
π2tftf
tfft
tfff
¬∧ fttt
fttf
¬π2ftft
¬⇒ ftff
¬π1fftt
¬⇐ fftf
¬∨ ffft
all false ffff