(ZF::SKOLEM$PROP)
(ZF::SKOLEM)
(ZF::SKOLEM$COMPREHENSION)
(ZF::SUBSET-SKOLEM
 (27 2 (:REWRITE ZF::APPLY-DEFAULT))
 (22 1 (:REWRITE ZF::RELATION-P-NECC))
 (22 1 (:REWRITE ZF::IN-CONS-APPLY))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 4 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (15 4 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (10 8 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (10 4 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (10 4 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (9 9 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (8 2 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (7 1 (:REWRITE ZF::TRANSITIVE-NECC))
 (6 3 (:REWRITE ZF::IN-ASYMMETRIC))
 (4 4 (:TYPE-PRESCRIPTION ZF::FUNP))
 (4 4 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (4 2 (:REWRITE ZF::APPLY-CAR-IS-CDR))
 (4 1 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (3 1 (:REWRITE ZF::EQUAL-APPLY))
 (1 1 (:REWRITE ZF::TRANSITIVE-0))
 (1 1 (:REWRITE ZF::SUBSET-X-0))
 (1 1 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (1 1 (:REWRITE ZF::RELATION-P-0))
 (1 1 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (1 1 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE ZF::0-IS-EMPTYSET))
 )
(ZF::DOMAIN-SKOLEM-1
 (14 2 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (10 10 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (8 2 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (5 2 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (4 4 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (4 2 (:REWRITE ZF::IN-ASYMMETRIC))
 (3 3 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (2 2 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (2 2 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (2 2 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 )
(ZF::DOMAIN-SKOLEM-2-1-1
 (33 2 (:REWRITE ZF::APPLY-DEFAULT))
 (16 4 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (15 3 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 2 (:REWRITE ZF::TRANSITIVE-NECC))
 (8 8 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (8 2 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (7 7 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (4 3 (:REWRITE ZF::IN-ASYMMETRIC))
 (4 1 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (3 3 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (3 3 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (2 2 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (1 1 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 )
(ZF::DOMAIN-SKOLEM-2-1-2
 (58 5 (:REWRITE ZF::APPLY-DEFAULT))
 (16 4 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (16 4 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 2 (:REWRITE ZF::TRANSITIVE-NECC))
 (8 8 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (8 4 (:REWRITE ZF::IN-ASYMMETRIC))
 (8 2 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (7 7 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (5 2 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (4 4 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (4 4 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (2 2 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (2 2 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(ZF::DOMAIN-SKOLEM-2-1
 (61 5 (:REWRITE ZF::APPLY-DEFAULT))
 (57 12 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (54 15 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (50 50 (:TYPE-PRESCRIPTION NATP))
 (46 7 (:REWRITE ZF::TRANSITIVE-NECC))
 (30 30 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (28 7 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (27 25 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (22 7 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (19 12 (:REWRITE ZF::IN-ASYMMETRIC))
 (12 12 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (7 7 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (7 7 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (2 2 (:REWRITE DEFAULT-CAR))
 )
(ZF::DOMAIN-SKOLEM-2
 (196 2 (:REWRITE ZF::DOMAIN-PRESERVES-SUBSET))
 (185 4 (:REWRITE ZF::SUBSET-CRITERION))
 (130 2 (:REWRITE ZF::SKOLEM$COMPREHENSION))
 (60 14 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (54 4 (:REWRITE ZF::APPLY-DEFAULT))
 (52 52 (:TYPE-PRESCRIPTION NATP))
 (44 14 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (44 2 (:REWRITE ZF::RELATION-P-NECC))
 (44 2 (:REWRITE ZF::IN-CONS-APPLY))
 (43 13 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (30 26 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (28 28 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (26 14 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (25 4 (:REWRITE ZF::TRANSITIVE-NECC))
 (24 6 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (22 11 (:REWRITE ZF::IN-ASYMMETRIC))
 (19 19 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (14 14 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (8 8 (:TYPE-PRESCRIPTION ZF::FUNP))
 (8 8 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (8 4 (:REWRITE ZF::APPLY-CAR-IS-CDR))
 (8 2 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (6 2 (:REWRITE ZF::EQUAL-APPLY))
 (4 4 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (2 2 (:REWRITE ZF::TRANSITIVE-0))
 (2 2 (:REWRITE ZF::SUBSET-X-0))
 (2 2 (:REWRITE ZF::RELATION-P-0))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE ZF::0-IS-EMPTYSET))
 (1 1 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 )
(ZF::DOMAIN-SKOLEM
 (177 4 (:REWRITE ZF::SUBSET-CRITERION))
 (63 15 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (58 6 (:REWRITE ZF::DOMAIN-SKOLEM-2-1))
 (51 15 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (36 12 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (32 32 (:TYPE-PRESCRIPTION NATP))
 (32 32 (:TYPE-PRESCRIPTION ZF::BOOLEANP-IN))
 (28 4 (:REWRITE ZF::TRANSITIVE-NECC))
 (27 15 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (24 24 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (16 16 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (16 16 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (16 8 (:REWRITE ZF::IN-ASYMMETRIC))
 (16 4 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (15 15 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (15 15 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (4 4 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (4 4 (:REWRITE ZF::SUBSET-NECC-BETTER-2))
 (4 4 (:REWRITE ZF::SUBSET-NECC-BETTER-1))
 )
(ZF::RELATION-P-SKOLEM
 (27 2 (:REWRITE ZF::APPLY-DEFAULT))
 (22 1 (:REWRITE ZF::RELATION-P-NECC))
 (22 1 (:REWRITE ZF::IN-CONS-APPLY))
 (17 3 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (15 3 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (9 7 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (9 3 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (9 3 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (8 8 (:TYPE-PRESCRIPTION ZF::FUNP))
 (7 7 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (4 2 (:REWRITE ZF::IN-ASYMMETRIC))
 (4 2 (:REWRITE ZF::APPLY-CAR-IS-CDR))
 (4 1 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (4 1 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (3 3 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (3 1 (:REWRITE ZF::FUNP-NECC))
 (3 1 (:REWRITE ZF::FUNP-IMPLIES-RELATION-P))
 (3 1 (:REWRITE ZF::EQUAL-APPLY))
 (1 1 (:TYPE-PRESCRIPTION ZF::SUBSET))
 (1 1 (:REWRITE ZF::TRANSITIVE-0))
 (1 1 (:REWRITE ZF::SUBSET-X-0))
 (1 1 (:REWRITE ZF::RELATION-P-0))
 (1 1 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (1 1 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE ZF::0-IS-EMPTYSET))
 )
(ZF::FUNP-SKOLEM
 (1062 12 (:REWRITE ZF::APPLY-CAR-IS-CDR))
 (993 9 (:REWRITE ZF::FUNP-RCOMPOSE-LEMMA))
 (728 139 (:REWRITE ZF::SUBSET-PRESERVES-IN-1))
 (686 5 (:REWRITE ZF::EQUAL-APPLY))
 (607 139 (:REWRITE ZF::HONS-ASSOC-EQUAL-PRESERVES-IN-FOR-TRANSITIVE))
 (555 16 (:REWRITE ZF::FUNP-NECC))
 (492 23 (:REWRITE ZF::SUBSET-CRITERION))
 (480 16 (:REWRITE ZF::RCOMPOSE-IS-COMPOSE))
 (417 39 (:REWRITE ZF::RELATION-P-NECC))
 (403 121 (:REWRITE ZF::NATP-<-IMPLIES-IN))
 (366 366 (:TYPE-PRESCRIPTION NATP))
 (289 103 (:REWRITE ZF::NATP-IMPLIES-TRANSITIVE))
 (234 234 (:TYPE-PRESCRIPTION ZF::TRANSITIVE))
 (227 27 (:REWRITE ZF::TRANSITIVE-NECC))
 (215 189 (:REWRITE ZF::IN-NATP-IMPLIES-NATP))
 (164 12 (:REWRITE ZF::APPLY-DEFAULT))
 (139 139 (:REWRITE ZF::SUBSET-PRESERVES-IN-2))
 (136 69 (:REWRITE ZF::IN-ASYMMETRIC))
 (125 50 (:REWRITE ZF::<=-IMPLIES-SUBSET-ON-NATPS))
 (79 5 (:REWRITE ZF::IN-CONS-APPLY))
 (64 10 (:REWRITE ZF::CAR-PRESERVES-IN-FOR-TRANSITIVE))
 (58 44 (:REWRITE DEFAULT-CAR))
 (56 56 (:REWRITE ZF::V$FUNP))
 (52 52 (:REWRITE ZF::FUNP-0))
 (48 48 (:REWRITE ZF::TRANSITIVE-0))
 (45 45 (:REWRITE ZF::0-IS-EMPTYSET))
 (40 16 (:REWRITE ZF::IN-RCOMPOSE-REWRITE))
 (39 19 (:REWRITE ZF::SUBSET-X-0))
 (27 27 (:REWRITE ZF::SUBSET-TRANSITIVITY))
 (26 26 (:REWRITE DEFAULT-CDR))
 (26 11 (:REWRITE ZF::FUNP-IMPLIES-RELATION-P))
 (25 25 (:REWRITE ZF::RELATION-P-0))
 (24 12 (:REWRITE ZF::INFINITY))
 (20 20 (:REWRITE ZF::TRANSITIVE-OMEGA))
 (20 4 (:REWRITE ZF::SUBSET-IMAGE-0))
 (16 16 (:REWRITE ZF::IN-RCOMPOSE-SUFF))
 (16 1 (:REWRITE ZF::DOMAIN-PRESERVES-SUBSET))
 (11 11 (:REWRITE ZF::FN-EQUAL-FORWARD-TO-EQUAL-DOMAINS))
 (8 8 (:TYPE-PRESCRIPTION ZF::IN-RCOMPOSE))
 (8 8 (:REWRITE ZF::V-MAP$DOMAIN))
 (8 8 (:REWRITE ZF::IMAGE-0))
 (8 8 (:REWRITE ZF::DOMAIN-0))
 (8 8 (:REWRITE ZF::COMPOSE-F-0))
 (4 4 (:REWRITE ZF::IN-IMAGE-SUFF))
 (2 2 (:REWRITE ZF::IN-CAR-DOMAIN-ALT))
 (2 2 (:REWRITE ZF::APPLY-REWRITE))
 (1 1 (:REWRITE CONS-CAR-CDR))
 )
(ZF::SKOLEM-SKOLEMIZES-1)
(ZF::SKOLEM-SKOLEMIZES)
