(<-OF-+-OF-1-WHEN-INTEGERS-STRENGTHEN-WITH-POLARITY
 (3 3 (:REWRITE DROP->-HYPS))
 (3 3 (:REWRITE DROP-<=-HYPS))
 (3 3 (:REWRITE DROP-<-HYPS))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE <-OF-CONSTANT-WHEN-<=-OF-FREE))
 (1 1 (:REWRITE EQUAL-WHEN-<-OF-+-ALT))
 (1 1 (:REWRITE EQUAL-WHEN-<-OF-+))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLECT-CONSTANTS-OVER-<))
 (1 1 (:REWRITE <-OF-+-COMBINE-CONSTANTS-1))
 (1 1 (:REWRITE <-OF-+-ARG2-WHEN-NEGATIVE-CONSTANT))
 )
(>-CONSTANT-WHEN-INTEGER-STRENGTHEN
 (3 3 (:REWRITE DROP->-HYPS))
 (3 3 (:REWRITE DROP-<=-HYPS))
 (3 3 (:REWRITE DROP-<-HYPS))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE <-OF-CONSTANT-WHEN-<=-OF-FREE))
 (2 2 (:REWRITE COLLECT-CONSTANTS-OVER-<))
 (2 2 (:REWRITE <-OF-+-OF-1-WHEN-INTEGERS-STRENGTHEN-WITH-POLARITY))
 (2 2 (:REWRITE <-OF-+-COMBINE-CONSTANTS-1))
 (2 2 (:REWRITE <-OF-+-ARG2-WHEN-NEGATIVE-CONSTANT))
 (1 1 (:REWRITE EQUAL-WHEN-<-OF-+-ALT))
 (1 1 (:REWRITE EQUAL-WHEN-<-OF-+))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(<-OF-CONSTANT-WHEN-INTEGER-STRENGTHEN
 (4 4 (:REWRITE EQUAL-WHEN-<-OF-+-ALT))
 (4 4 (:REWRITE EQUAL-WHEN-<-OF-+))
 (4 4 (:REWRITE DROP->-HYPS))
 (4 4 (:REWRITE DROP-<=-HYPS))
 (4 4 (:REWRITE DROP-<-HYPS))
 (4 4 (:REWRITE DEFAULT-+-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE >-CONSTANT-WHEN-INTEGER-STRENGTHEN))
 (4 4 (:REWRITE <-OF-CONSTANT-WHEN-<=-OF-FREE))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE NO-ROOM-BETWEEN-INTS-LEMMA))
 (2 2 (:REWRITE EQUAL-OF-+-COMBINE-CONSTANTS))
 (2 2 (:REWRITE COLLECT-CONSTANTS-OVER-<-2))
 (2 2 (:REWRITE <-OF-+-COMBINE-CONSTANTS-2))
 (2 2 (:REWRITE <-OF-+-ARG1-WHEN-NEGATIVE-CONSTANT))
 (1 1 (:REWRITE COLLECT-CONSTANTS-OVER-<))
 )
