add multiply and if co conjunction implication cup cap disjunction conjunction direct inverse discrete indiscrete empty trivial existential universal false true fine coarse first last free fascist inductive projective initial terminal join meet large small left adjoint right adjoint many almost all minim maxim multiply exponentiate no yes or and product power pushout pullback quotient sub retraction section right exact left exact some all strong weak sum product supremum infimum tensor hom union intersection zero one