(ALEOBFT::LAST-ANCHOR-PRESENT-P)
(ALEOBFT::LAST-ANCHOR-PRESENT-P-NECC)
(ALEOBFT::BOOLEANP-OF-LAST-ANCHOR-PRESENT-P)
(ALEOBFT::LAST-ANCHOR-PRESENT-P
 (10 4 (:REWRITE SET::IN-TAIL))
 (5 3 (:REWRITE SET::NEVER-IN-EMPTY))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 1 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (3 1 (:REWRITE ALEOBFT::SETP-WHEN-PROPOSAL-SETP))
 (3 1 (:REWRITE SETP-WHEN-POS-SETP))
 (3 1 (:REWRITE ALEOBFT::SETP-WHEN-MESSAGE-SETP))
 (3 1 (:REWRITE ALEOBFT::SETP-WHEN-CERTIFICATE-SETP))
 (2 2 (:TYPE-PRESCRIPTION ALEOBFT::PROPOSAL-SETP))
 (2 2 (:TYPE-PRESCRIPTION POS-SETP))
 (2 2 (:TYPE-PRESCRIPTION ALEOBFT::MESSAGE-SETP))
 (2 2 (:TYPE-PRESCRIPTION ALEOBFT::CERTIFICATE-SETP))
 (1 1 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-VALIDATOR-STATE-MAPP-BINDS-FREE-X))
 (1 1 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-POS-MAPP-BINDS-FREE-X))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-SYSTEM-STATE-FIX-SYSTATE
 (336 84 (:REWRITE SET::IN-TAIL))
 (168 168 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (126 42 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (126 42 (:REWRITE SET::NEVER-IN-EMPTY))
 (70 28 (:REWRITE ALEOBFT::SYSTEM-STATE-FIX-WHEN-SYSTEM-STATEP))
 (42 42 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-STATEP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-SYSTEM-STATE-EQUIV-CONGRUENCE-ON-SYSTATE)
(ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT
 (8 2 (:REWRITE SET::IN-TAIL))
 (3 1 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (3 1 (:REWRITE SET::NEVER-IN-EMPTY))
 (2 2 (:REWRITE-QUOTED-CONSTANT ALEOBFT::CERTIFICATE-SET-FIX-UNDER-CERTIFICATE-SET-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT ALEOBFT::PROPOSAL-SET-FIX-UNDER-PROPOSAL-SET-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT ALEOBFT::PROPOSAL-ADDRESS-SET-MAP-FIX-UNDER-PROPOSAL-ADDRESS-SET-MAP-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT POS-FIX-UNDER-POS-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT ALEOBFT::BLOCK-LIST-FIX-UNDER-BLOCK-LIST-EQUIV))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-PROPOSE-NEXT
 (184 46 (:REWRITE SET::IN-TAIL))
 (92 92 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (69 23 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (69 23 (:REWRITE SET::NEVER-IN-EMPTY))
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-ENDORSE-NEXT
 (184 46 (:REWRITE SET::IN-TAIL))
 (92 92 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (69 23 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (69 23 (:REWRITE SET::NEVER-IN-EMPTY))
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-AUGMENT-NEXT
 (184 46 (:REWRITE SET::IN-TAIL))
 (92 92 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (69 23 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (69 23 (:REWRITE SET::NEVER-IN-EMPTY))
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-CERTIFY-NEXT
 (3956 1064 (:REWRITE SET::IN-TAIL))
 (2104 2104 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1434 502 (:REWRITE SET::NEVER-IN-EMPTY))
 (1398 466 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (1056 96 (:REWRITE ALEOBFT::CERTIFICATE-FIX-WHEN-CERTIFICATEP))
 (1011 337 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (674 674 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 (480 96 (:REWRITE SET::INSERT-IDENTITY))
 (480 96 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-CERTIFICATE-OPTIONP))
 (432 432 (:REWRITE-QUOTED-CONSTANT ALEOBFT::CERTIFICATE-OPTION-FIX-UNDER-CERTIFICATE-OPTION-EQUIV))
 (288 288 (:TYPE-PRESCRIPTION ALEOBFT::CERTIFICATEP))
 (288 96 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (264 264 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-VALIDATOR-STATE-MAPP-BINDS-FREE-X))
 (264 264 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-POS-MAPP-BINDS-FREE-X))
 (192 192 (:TYPE-PRESCRIPTION ALEOBFT::CERTIFICATE-OPTIONP))
 (192 192 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-MEMBER-EQUAL-OF-CERTIFICATE-LISTP))
 (192 96 (:REWRITE ALEOBFT::CERTIFICATE-OPTIONP-WHEN-CERTIFICATEP))
 (96 96 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-IN-CERTIFICATE-SETP-BINDS-FREE-X))
 (36 12 (:REWRITE SET::EMPTYP-SUBSET-2))
 (36 12 (:REWRITE SET::EMPTYP-SUBSET))
 (12 12 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (9 9 (:REWRITE-QUOTED-CONSTANT POS-FIX-UNDER-POS-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT ALEOBFT::ADDRESS-OPTION-FIX-UNDER-ADDRESS-OPTION-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT ALEOBFT::ADDRESS-FIX-UNDER-ADDRESS-EQUIV))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-ACCEPT-NEXT
 (3956 1064 (:REWRITE SET::IN-TAIL))
 (2104 2104 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1980 360 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ADDRESS-OPTIONP))
 (1440 180 (:REWRITE ALEOBFT::ADDRESS-OPTIONP-WHEN-ADDRESSP))
 (1434 502 (:REWRITE SET::NEVER-IN-EMPTY))
 (1398 466 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (1056 96 (:REWRITE ALEOBFT::CERTIFICATE-FIX-WHEN-CERTIFICATEP))
 (1011 337 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (674 674 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 (540 540 (:TYPE-PRESCRIPTION ALEOBFT::ADDRESS-OPTIONP))
 (480 96 (:REWRITE SET::INSERT-IDENTITY))
 (480 96 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-CERTIFICATE-OPTIONP))
 (435 435 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-VALIDATOR-STATE-MAPP-BINDS-FREE-X))
 (435 435 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-POS-MAPP-BINDS-FREE-X))
 (432 432 (:REWRITE-QUOTED-CONSTANT ALEOBFT::CERTIFICATE-OPTION-FIX-UNDER-CERTIFICATE-OPTION-EQUIV))
 (288 288 (:TYPE-PRESCRIPTION ALEOBFT::CERTIFICATEP))
 (288 96 (:REWRITE SET::INSERT-WHEN-EMPTYP))
 (192 192 (:TYPE-PRESCRIPTION ALEOBFT::CERTIFICATE-OPTIONP))
 (192 192 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-MEMBER-EQUAL-OF-CERTIFICATE-LISTP))
 (192 96 (:REWRITE ALEOBFT::CERTIFICATE-OPTIONP-WHEN-CERTIFICATEP))
 (96 96 (:REWRITE ALEOBFT::CERTIFICATEP-WHEN-IN-CERTIFICATE-SETP-BINDS-FREE-X))
 (36 12 (:REWRITE SET::EMPTYP-SUBSET-2))
 (36 12 (:REWRITE SET::EMPTYP-SUBSET))
 (12 12 (:REWRITE SET::PICK-A-POINT-SUBSET-CONSTRAINT-HELPER))
 (9 9 (:REWRITE-QUOTED-CONSTANT POS-FIX-UNDER-POS-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT ALEOBFT::ADDRESS-OPTION-FIX-UNDER-ADDRESS-OPTION-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT ALEOBFT::ADDRESS-FIX-UNDER-ADDRESS-EQUIV))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-ADVANCE-NEXT
 (184 46 (:REWRITE SET::IN-TAIL))
 (92 92 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (69 23 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (69 23 (:REWRITE SET::NEVER-IN-EMPTY))
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-COMMIT-NEXT
 (638 164 (:REWRITE SET::IN-TAIL))
 (330 66 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ADDRESS-OPTIONP))
 (274 274 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (228 82 (:REWRITE SET::TAIL-WHEN-EMPTYP))
 (192 64 (:REWRITE SET::NEVER-IN-EMPTY))
 (132 132 (:TYPE-PRESCRIPTION ALEOBFT::ADDRESS-OPTIONP))
 (132 66 (:REWRITE ALEOBFT::ADDRESS-OPTIONP-WHEN-ADDRESSP))
 (78 78 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-VALIDATOR-STATE-MAPP-BINDS-FREE-X))
 (78 78 (:REWRITE ALEOBFT::ADDRESSP-WHEN-ASSOC-ADDRESS-POS-MAPP-BINDS-FREE-X))
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 (24 24 (:TYPE-PRESCRIPTION POSP))
 (12 12 (:REWRITE POSP-WHEN-IN-POS-SETP-BINDS-FREE-X))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-EVENT-NEXT
 (42 14 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (28 28 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-OF-EVENTS-NEXT
 (66 22 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (44 44 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 )
(ALEOBFT::LEMMA
 (15 5 (:REWRITE ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-INIT))
 (10 10 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-INITP))
 (6 2 (:REWRITE ALEOBFT::EVENT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ALEOBFT::EVENT-LISTP-WHEN-SUBSETP-EQUAL))
 (3 1 (:REWRITE ALEOBFT::SYSTEM-STATE-FIX-WHEN-SYSTEM-STATEP))
 (2 2 (:TYPE-PRESCRIPTION ALEOBFT::SYSTEM-STATEP))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 )
(ALEOBFT::LAST-ANCHOR-PRESENT-P-WHEN-REACHABLE)
