Propositional form X is consistent with propositional form Y (i.e., X and Y are consistent [with one another]) iff it is possible for both X and Y to be true.

Example from everyday life: 'x is not taller than y' is consistent with 'y is not taller than x'

Example from categorical logic: 'Some S are P' is consistent with 'Some S are not P'

Example from propositional logic: 'p' is consistent with 'p ≡ q'

Example from predicate logic: '(x)Øx' is consistent with '(Ǝx)Øx'