fact: Definition pr1_ne2_hyp3_weak:= forall a M, inc a (psI S) -> inc M (Vg FS_fam a) -> nonempty M -> exists2 x, inc x M & forall b, gle (psr S) a b -> pr1_ne2_hyp3_aux x a b.
imports: mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat)