Used simplifier rules/spec theorems by specification

Used from specification nat-basic

• nat-basic/a is used by toinfto-append-add, toinf-empty3, to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-unwind-begin, to-to-leq-inf, to-succ3-nf, to-succ2-nf, to-succ-cons-l-lem, to-succ-cons, to-inf-two, to-inf-one, to-from-01, to-empty3, to-attach, to-append-add, to-all, tl-lem, tl-inf-1, swap-to-from-app, swap-to-from, swap-inf-to-from-app, swap-inf-to-from, size-inf-to, size-from-less, size-append, single-to-one, one-inf, less-size-from, intrace-expand, infapp-to-le, infapp-to-ge-01, infapp-to-ge, infapp-one-to-succ2, infapp-one-to-succ, infapp-from-le, infapp-from-gt, get-infto, get-from-zero, get-from-inf-zero, get-from-01, get-cons-succ, get-cons-num, get-append-notls, from-to-exchange, from-succ-cons-l-lem, from-succ-cons, from-succ, from-nf-zero, from-from-inf, from-from, from-cons-one-fin, from-cons-one, from-append-toinffrom, from-append-tofrom, from-append-add, from-all, extensionality-to, expand-cons, contractinf-from1, cons-to-num, cons-to-addnum, cons-from-num, cons-from-addnum, cons-eq-inf, cons-eq, appinf-to-split, appinf-to-ge-01, appinf-one2-to-succ2, appinf-one2-to-succ, appinf-one2-get-succ2, appinf-one2-get-succ, appinf-one-to-succ2, appinf-one-to-succ, appinf-one-get-succ2, appinf-one-get-succ, appinf-get-ge-01, append-to-le-01, append-to-gr-01, append-to-gr, append-to-addsize-01, append-to-addsize, append-split, append-from-size-01, append-from-size, append-from-le-01, append-from-gt, append-from-gr-01, append-from-addsize-01, append-from-addsize, append-assoc,
• nat-basic/add-base is used by to-succ-cons, to-attach, to-append-add, swap-to-from-app, one-inf, infapp-one-to-succ2, infapp-one-to-succ, get-from-zero, get-from-inf-zero, get-cons-succ, from-to-exchange, from-succ, from-nf-zero, from-cons-one, cons-to-num, cons-eq-inf, cons-eq, appinf-to-ge-01, appinf-one-to-succ, appinf-one-get-succ, append-to-le-01, append-to-gr, append-to-addsize-01, append-from-size-01, append-from-size, append-from-le-01, append-from-gt, append-from-addsize-01,
• nat-basic/c is used by toinfto-append-add, toinf-empty3, to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-unwind-begin, to-to-leq-inf, to-succ3-nf, to-succ2-nf, to-succ-cons-l-lem, to-succ-cons, to-inf-two, to-inf-one, to-from-01, to-empty3, to-attach, to-append-add, to-all, tl-lem, tl-inf-1, swap-to-from-app, swap-to-from, swap-inf-to-from-app, swap-inf-to-from, size-inf-to, size-from-less, size-append, single-to-one, one-inf, less-size-from, intrace-expand, infapp-to-le, infapp-to-ge-01, infapp-to-ge, infapp-one-to-succ2, infapp-one-to-succ, infapp-from-le, infapp-from-gt, get-infto, get-from-zero, get-from-inf-zero, get-from-inf, get-from-01, get-from, get-cons-succ, get-cons-num, get-append-notls, from-to-exchange, from-succ-cons-l-lem, from-succ-cons, from-succ, from-nf-zero, from-from-inf, from-from, from-cons-one-fin, from-cons-one, from-append-toinffrom, from-append-tofrom, from-append-add, from-all, extensionality-to, expand-cons, contractinf-from1, cons-to-num, cons-to-addnum, cons-from-num, cons-from-addnum, cons-eq-inf, cons-eq, appinf-to-split, appinf-to-ge-01, appinf-one2-to-succ2, appinf-one2-to-succ, appinf-one2-get-succ2, appinf-one2-get-succ, appinf-one-to-succ2, appinf-one-to-succ, appinf-one-get-succ2, appinf-one-get-succ, appinf-get-ge-01, append-to-le-01, append-to-gr-01, append-to-gr, append-to-addsize-01, append-to-addsize, append-split, append-from-size-01, append-from-size, append-from-le-01, append-from-gt, append-from-gr-01, append-from-addsize-01, append-from-addsize, append-assoc,
• nat-basic/eq-01 is used by size-inf-to, infapp-to-ge-01, from-append-tofrom, append-split,
• nat-basic/f is used by to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-to-ls, to-to-leq-inf, to-inf-two, to-from-01, infapp-to-le, infapp-to-ge-01, get-to, get-infto, get-append-ls, from-succ, from-append-tofrom, from-append-add, fin-to-to-ls, extensionality, appinf-to-split, append-to-gr-01, append-to-gr, append-from-gt, append-from-gr-01, append-assoc,
• nat-basic/l is used by infapp-from-le, from-append-tofrom, from-append-add, append-to-gr-01,
• nat-basic/l-01 is used by swap-to-from-app, infapp-from-gt, from-append-tofrom, appinf-to-split, append-to-gr-01, append-to-gr, append-from-gt,
• nat-basic/l-02 is used by swap-to-from-app, infapp-to-le, infapp-from-gt, get-append-notls, from-append-tofrom, from-append-add, appinf-to-ge-01, appinf-get-ge-01, append-assoc,
• nat-basic/less-zero is used by ton-fromn-inf, ton-fromn-fin, to-unwind-end, to-unwind-begin, infapp-empty, get-infto, empty-append,
• nat-basic/lf-01 is used by to-to-leq-inf, extensionality,
• nat-basic/ls-02 is used by less-size-from,
• nat-basic/nls-fst is used by appinf-one-get-succ,
• nat-basic/one-01 is used by to-inf-two, tl-lem, infappone-zero, infapp-one-to-succ2, infapp-one-to-succ, hd-lem, get-infto, contractinf-tl, contractinf-from1, cons-eq-inf, cons-eq, cons-append, appinf-one-to-succ,
• nat-basic/oz is used by to-unwind-end, to-to-leq-inf, to-succ-cons, tl-lem, tl-inf-1, one-inf, intrace-expand, infapp-one-to-succ2, infapp-one-to-succ, get-infto, get-cons-succ, from-succ-cons, from-succ, from-cons-one, expand-cons, contractinf-from1, cons-eq-inf, cons-eq, append-to-gr-01, append-split,
• nat-basic/pred is used by from-succ-cons,
• nat-basic/refl-Nat is used by ton-fromn-inf, ton-fromn-fin, to-to-leq-inf, leq-prefix, append-to-size-01, append-to-size,
• nat-basic/s-04 is used by to-unwind-end-fin, to-to-leq-inf, to-from-01, get-infto, from-succ,
• nat-basic/succ is used by to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-to-leq-inf, to-inf-two, to-from-01, to-attach, to-all, tl-lem, tl-inf-1, size-inf-to, get-infto, from-to-exchange, from-succ, from-all, elim-hd-tl, contractinf-tl, append-to-le-01, append-to-gr-01, append-to-gr, append-from-le-01, append-from-gt, append-from-addsize-01,
• nat-basic/z-01 is used by to-empty3,
• nat-basic/z-02 is used by tl-lem, tl-inf-1,

Used from specification nat

• nat/add-01 is used by to-succ-cons, tl-lem, tl-inf-1, one-inf, infapp-one-to-succ2, infapp-one-to-succ, get-cons-succ, from-cons-one, cons-eq-inf, cons-eq, appinf-one-to-succ2, appinf-one-to-succ, appinf-one-get-succ2, appinf-one-get-succ,
• nat/anti is used by appinf-to-ge, append-from-ge-01,
• nat/cancel-01 is used by infapp-from-le, from-append-add, append-to-gr-01,
• nat/elim-pred-c is used by to-unwind-end, intrace-expand, get-infto, get-cons-num, from-succ, expand-cons, elim-hd-tl, contractinf-tl, contractinf-from1, cons-to-num, cons-to-addnum, cons-from-num, cons-from-addnum, cons-eq-inf, append-to-gr-01,
• nat/elim-sub is used by to-plus-from-inf-simp, swap-to-from-app, swap-to-from, swap-inf-to-from-app, swap-inf-to-from, infapp-to-ge, infapp-from-gt, get-append-notls, from-append-tofrom, appinf-to-split, append-to-gr-01, append-to-gr, append-from-gt, append-from-gr-01, append-assoc,
• nat/eq-01 is used by to-append-add, swap-to-from-app, swap-inf-to-from-app, infapp-from-gt, get-append-notls, from-append-add, appinf-to-ge-01, appinf-get-ge-01, append-to-gr-01, append-to-addsize-01, append-to-addsize, append-from-addsize, append-assoc,
• nat/eqle-one is used by to-to-leq-inf,
• nat/fle is used by fin-to-to-ls, appinf-to-split,
• nat/fle-01 is used by infapp-to-le, from-append-tofrom, append-assoc,
• nat/l-num-05 is used by to-inf-two,
• nat/l-num-06 is used by appinf-one-get-succ2, append-to-gr-01,
• nat/le-add is used by to-append-add, swap-to-from-app, appinf-to-ge-01, append-to-addsize-01,
• nat/le-def is used by to-to-leq-inf, swap-to-from-app, size-from-less, less-size-from, length-from, infapp-to-ge-01, from-append-tofrom, from-append-add, appinf-to-split, appinf-to-ge-01, append-to-size-01, append-to-size, append-assoc,
• nat/le-ls-simp is used by ton-fromn-fin, get-from, from-append-tofrom, from-append-add, fin-to-to-ls, fin-to-to-leq, fin-to-to-eq, appinf-to-split, appinf-get-ge,
• nat/le-num-06 is used by appinf-one-to-succ2,
• nat/lels is used by ton-fromn-fin, ton-fromn, toinf-to-leq, to-unwind-end-fin, to-to-leq-inf, to-to-leq, to-plus-from-inf-simp, to-plus-from-fin-simp, to-inf-two, to-from-01, to-empty2, to-append-add, swap-to-from-app, size-to, size-from-less, size-from, infapp-to-le, infapp-to-ge-01, get-toinf, get-to, get-infto, get-from, get-finto, get-append-notls, from-succ, from-append-tofrom, from-append-add, fin-to-to-ls, fin-to-to-leq, fin-to-to-eq, fin-size-from, elim-fromto, appinf-to-split, append-to-addsize-01, append-le-to, append-from-ge-02, append-from-ge-01, append-assoc,
• nat/lels-03 is used by to-to-ls, infapp-from-gt, appinf-to-split, append-to-gr-01, append-to-gr, append-from-gt, append-from-gr-01,
• nat/lep is used by swap-to-from-app, swap-to-from, swap-inf-to-from-app, swap-inf-to-from, infapp-to-le, infapp-from-le, get-append-notls, from-append-tofrom,
• nat/lep-02 is used by to-to-leq-inf, append-to-le-01, append-from-le-01,
• nat/ler is used by to-to-leq-inf, to-to-eq-inf, to-to-eq, append-from-ge-02,
• nat/les is used by to-to-leq-inf,
• nat/let is used by fin-to-to-leq,
• nat/lez-01 is used by to-to-leq-inf, append-to-le-01, append-from-le-01,
• nat/ls is used by less-size-from, from-append-add,
• nat/ls-01 is used by size-from-less, infapp-to-ge-01, from-append-tofrom, appinf-to-split, append-assoc,
• nat/ls-le-simp is used by ton-fromn, to-plus-from-inf-simp, to-inf-two, size-to, size-from-less, size-from, infapp-to-le, infapp-to-ge-01, get-toinf, get-to, from-append-tofrom, from-append-add, fin-size-from, appinf-to-split,
• nat/pred-03 is used by to-unwind-end, to-succ-cons, tl-inf-1, one-inf, intrace-expand, get-cons-zero, get-cons-succ, from-succ, from-cons-one, expand-cons, elim-hd-tl, cons-append,
• nat/prop-07 is used by appinf-to-split,
• nat/sub-base is used by infapp-empty, empty-append, append-to-gr-01,
• nat/succ-01 is used by to-unwind-end-fin, to-from-01, get-infto, from-succ, appinf-one-to-succ,
• nat/zero is used by ton-fromn-inf, ton-fromn-fin, to-to-leq-inf, swap-to-from-app, append-from-ge-02, append-from-ge-01,
• nat/zero-02 is used by appinf-to-ge,

Used from specification list-data

• list-data/elim-list-c is used by to-unwind-begin-fin,
• list-data/l is used by zero-len, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-from-01, size-empty-equiv, infapp-to-le, get-append-ls, from-succ, from-append-add, fin-to-to-ls, extensionality, append-split, append-assoc,
• list-data/size-nil is used by ton-fromn-inf, ton-fromn-fin, to-empty-inf, to-attach, to-all, size-inf-to, size-empty, infapp-empty, from-all, empty-append, append-to-le-01, append-to-gr-01, append-to-gr, append-split, append-from-le-01, append-from-gt, append-from-addsize-01,

Used from specification stream

• stream/append-from-le is used by append-from-le,
• stream/append-from-size is used by append-from-size,
• stream/fin-finlen-tolen is used by to-all,
• stream/from-cons-one-fin is used by from-cons-one-fin,
• stream/from-succ-cons-l-lem is used by to-from-01, from-to-exchange, from-succ-cons-l-lem, from-succ, from-all, append-from-le-01,
• stream/single-to-one is used by single-to-one,
• stream/to-plus-from-fin is used by to-plus-from-fin, elim-fromto,
• stream/to-succ-cons-l-lem is used by to-unwind-end-fin, to-succ-cons-l-lem, to-from-01, to-all, append-to-le-01,

Used from specification list

• list/c is used by to-succ-cons-l-lem, tl-fin-lem, tl-fin-1, hd-fin-lem, from-succ-cons-l-lem,
• list/c-06 is used by append-split,
• list/Nil is used by to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-attach, empty-append, append-to-gr-01, append-to-gr, append-from-gt,
• list/a is used by toone-cons-fin, toone-cons, toinfto-append-add, to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-unwind-begin, to-to-leq-inf, to-succ-cons-l-lem, to-succ-cons, to-plus-from-fin, to-inf-two, to-inf-one, to-from-01, to-attach, to-append-add, to-all, tl-fin-1, size-inf-to, size-append, single-to-one, infapp-to-le, infapp-to-ge-01, infapp-to-ge, infapp-one-to-succ2, infapp-one-to-succ, infapp-from-le, get-infto, get-cons-zero, get-cons-succ, get-append3-fin, get-append-notls, get-append-ls, from-to-exchange, from-succ-cons-l-lem, from-succ-cons, from-succ, from-cons-one-fin, from-append-tofrom, from-append-add, from-all, extensionality-to, expand-cons, eq-stream-to-list-3-3, eq-stream-to-list-3-2, eq-stream-to-list-3-1, eq-stream-to-list-2-1, empty-append, elim-hd-tl, elim-fromto, constrrew, cons-to-num, cons-to-addnum, cons-eq-01, cons-eq, cons-append, appinf-to-split, appinf-to-ge-01, appinf-to-ge, appinf-one2-to-succ2, appinf-one2-to-succ, appinf-one-to-succ2, appinf-one-to-succ, append-to-le-01, append-to-le, append-to-gr-01, append-to-gr, append-to-addsize-01, append-to-addsize, append-split, append-gr-to, append-from-size, append-from-le-01, append-from-le, append-from-gt, append-from-addsize-01, append-from-addsize, append-empty-01, append-empty, append-cancel-l-02, append-assoc,
• list/app is used by toone-cons-fin, toone-cons, to-unwind-end-fin, to-unwind-end, to-inf-one, to-append-add, single-to-one, appinf-one-to-succ, append-to-addsize-01, append-empty,
• list/app-02 is used by to-unwind-end-fin, to-from-01, from-succ, append-empty-01,
• list/app-04 is used by appinf-to-ge, append-cancel-l-02,
• list/app-06 is used by extensionality-to,
• list/c is used by to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-unwind-begin, to-succ3-nf, to-succ2-nf, to-succ-cons-l-lem, to-succ-cons, to-inf-one, to-from-01, to-attach, to-all, tl-fin-1, size-inf-to, single-to-one, infapp-one-to-succ2, infapp-one-to-succ, get-infto, from-succ-cons-l-lem, from-succ, from-all, expand-cons, elim-hd-tl, constrrew, cons-to-addnum, cons-append, append-to-le-01, append-to-gr-01, append-to-gr, append-split, append-from-le-01, append-from-gt, append-from-addsize-01,
• list/c-03 is used by cons-eq-01,
• list/c-04 is used by toone-one, toone-equal, toone-cons-fin, toone-cons, to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, single-to-one, appinf-one-to-succ,
• list/c-06 is used by cons-eq,
• list/e is used by to-unwind-end-fin, to-from-01, from-succ, cons-empty,
• list/e-01 is used by expand-cons, append-to-gr-01,
• list/in-15 is used by to-unwind-end, extensionality-to,
• list/len is used by to-to-leq-inf, size-append, infapp-to-le, infapp-to-ge-01, infapp-from-le, from-append-tofrom, from-append-add, appinf-to-split, append-split, append-assoc,
• list/len-01 is used by to-unwind-end-inf, to-unwind-end-fin, to-unwind-end, to-unwind-begin-fin, to-unwind-begin, to-succ-cons-l-lem, to-succ-cons, to-attach, to-append-add, to-all, infapp-to-ge, infapp-one-to-succ2, infapp-one-to-succ, from-succ, cons-to-num, cons-to-addnum, appinf-to-ge-01, appinf-one2-to-succ2, appinf-one2-to-succ, appinf-one-to-succ2, append-to-le-01, append-to-gr-01, append-to-gr, append-to-addsize-01, append-to-addsize, append-split, append-gr-to, append-from-le,
• list/len-02 is used by toone-cons-fin, to-unwind-end, to-to-leq-inf, to-inf-two, tl-lem, infappone-zero, infapp-one-to-succ2, infapp-one-to-succ, hd-lem, get-infto, from-to-exchange, contractinf-tl, contractinf-from1, cons-eq-inf, cons-eq, cons-append, appinf-one-to-succ2, appinf-one-to-succ, appinf-one-get-zero, appinf-one-get-succ2, appinf-one-get-succ, append-split,
• list/len-05 is used by to-unwind-end-fin, to-inf-two, to-from-01, to-attach, to-all, size-inf-to, from-succ, from-all, append-to-le-01, append-to-gr-01, append-to-gr, append-from-le-01, append-from-gt, append-from-addsize-01,
• list/len-06 is used by to-to-leq-inf,

Used from specification stream-basic

• stream-basic/disj-rqui-rqui0 is used by neq-fin-inf-03,
• stream-basic/inj-rqui is used by fin-empty, eq-stream-to-list-3-2, eq-stream-to-list-2-2, eq-stream-to-list-2-1, append-empty-01,
• stream-basic/inj-rqui0 is used by cons-eq,
• stream-basic/sel-rqui-dotl is used by extract-empty,
• stream-basic/disj-rqui-rqui0 is used by neq-fin-inf-03, neq-fin-inf-01, inf-not-toinf-exceptinf, inf-not-to, fun-nonempty, cons-eq-inf, cons-eq, appfin-sel-01, appfin-sel,
• stream-basic/elim-finp-ant is used by from-append-add, fin-size-from, appendend-equal,
• stream-basic/elim-finp-suc is used by from-append-add, appfin-sel-01, appfin-sel, appendend-equal,
• stream-basic/elim-rqui is used by appfin-sel-01, appfin-sel,
• stream-basic/inj-rqui is used by toinflen, toinf-to-eq, tl-lem, tl-fin-1, from-zero, from-succ-cons, from-infto-exchange, from-from, finlen-tolen, extensionality, empty-append, cons-eq-01, cons-eq, append-toinf-ls, append-split-fin, append-split, append-empty, append-cancel-l-02,
• stream-basic/inj-rqui0 is used by toinflen, to-plus-from-inf-simp, tl-lem, tl-inf-1, neq-fin-inf-03, intrace-expand, inf-not-toinf-exceptinf, from-zero, from-succ-cons, from-succ, from-from, from-cons-one, extensionality, expand-cons, empty-append, elim-hd-tl, elim-fromto-inf, cons-eq-inf, cons-eq, cons-append, appinf-selfun, append-split, append-eq-inf, append-empty, append-cut1, append-cancel-l-02, append-assoc,
• stream-basic/sel-rqui-dotl is used by to-append-add, finlen-tolen-02, finlen-tolen, append-gr-to,
• stream-basic/sel-rqui0-dotf is used by elim-fromto-inf, appinf-to-split, appinf-selfun, appinf-sel, appinf-one2-to-succ2, appinf-one2-to-succ, appinf-one2-get-succ2, appinf-one2-get-succ, appinf-get-split, appinf-get-le, appinf-get-ge-01, appinf-get-ge,
• stream-basic/test-finp-rqui is used by append-split-fin, append-split, append-cancel-l-02,
• stream-basic/test-finp-rqui0 is used by append-split, append-cancel-l-02,

Used from specification nat-inf

• nat-inf/notinf-fin is used by leq-prefix,
• nat-inf/num-add is used by toinf-add,
• nat-inf/add-all-inf is used by toinftoinf-append-add, size-append,
• nat-inf/add-all-zero is used by get-from-zero, from-to-exchange,
• nat-inf/add-assoc is used by toinftoinf-append-add, toinfto-append-add, toinf-empty3, to-unwind-end, to-is-prefix, to-empty3, to-append-add, swap-to-from-app, size-succ, size-from-less, size-append, prefix-notsmallersize, nlslen-lslensn-eqlensn, less-size-from, leq-prefix, get-from-zero, get-from, from-to-exchange, from-infto-exchange, from-append-toinffrom, from-append-tofrom, from-append-add, extensionality-to, contractinf-tl, contractinf-from1, append-notsmallersize2, append-notsmallersize1,
• nat-inf/add-cancel-num-02 is used by from-to-exchange,
• nat-inf/add-comm is used by toinftoinf-append-add, toinfto-append-add, toinf-empty3, to-unwind-end, to-is-prefix, to-empty3, to-append-add, swap-to-from-app, swap-to-from, size-succ, size-from-less, size-append, prefix-notsmallersize, nlslen-lslensn-eqlensn, less-size-from, leq-prefix, get-from-zero, get-from, from-to-exchange, from-infto-exchange, from-append-toinffrom, from-append-tofrom, from-append-add, extensionality-to, contractinf-tl, contractinf-from1, append-notsmallersize2, append-notsmallersize1,
• nat-inf/add-fin is used by to-unwind-end, to-empty3, to-append-add, swap-to-from-app, swap-to-from, swap-inf-to-from-app, size-from-less, size-append, less-size-from, from-to-exchange, from-from, from-append-toinffrom, from-append-tofrom, from-append-add, extensionality-to,
• nat-inf/add-inf1 is used by contractinf-tl,
• nat-inf/add-inf2 is used by toinfto-append-add, toinf-empty3, size-append, from-infto-exchange, from-append-toinffrom, from-append-add, contractinf-from1,
• nat-inf/add-less-fin-01 is used by to-is-prefix, leq-prefix,
• nat-inf/add-ls-cancel-01 is used by from-append-add,
• nat-inf/add-ls-cancel-num-04 is used by from-to-exchange,
• nat-inf/add-not-less is used by to-is-prefix, prefix-notsmallersize, append-notsmallersize2, append-notsmallersize1,
• nat-inf/addeqinf-cancel is used by less-size-from, from-append-add,
• nat-inf/disj-rqui-infty is used by zero-len, toinf-empty2, toinf-empty, swap-to-from-app, size-from, size-empty-equiv, less-size-from, inf-size-from, from-append-add, finlen-tolen-02, finlen-tolen, extensionality, appendend-equal, append-split, append-from-ge-02, append-cut1,
• nat-inf/eq-natinf-to-nat-2-2 is used by size-append,
• nat-inf/inf-less is used by toinfto-append-add, toinf-empty2, size-toinf, less-size-from, from-append-toinffrom, from-append-add, append-toinf-ls,
• nat-inf/inj-rqui is used by zero-len, size-toinf, size-to-02, size-from, size-empty-equiv, size-empty, inf-size-to, from-append-add, finlen-tolen-02, finlen-tolen, fin-size-from, extensionality, append-split-fin, append-split, append-from-ge-02,
• nat-inf/lele-refl is used by append-from-ge-02,
• nat-inf/lele-trans is used by toinf-to-leq, from-append-tofrom,
• nat-inf/lels-trans is used by from-append-tofrom, extensionality-to,
• nat-inf/less-fin is used by ton-fromn, toinf-to-ls, toinf-to-leq, to-unwind-end, to-unwind-begin, to-to-leq, to-from-01, to-empty2, to-empty, size-to, size-succ, size-from-less, size-from, lslen-fromnotempty, less-size-from, leq-prefix, get-toinf, get-to, get-append-notls, get-append-ls, from-succ, from-append-tofrom, from-append-add, fin-to-to-ls, fin-to-to-leq, fin-to-to-eq, fin-size-from, extensionality, elim-fromto, contractinf-tl, contractinf-from1, append-le-to, append-gr-to, append-from-gr-02, append-from-ge-02,
• nat-inf/less-inf1 is used by toinf-to-leq-inf, toinf-to-eq-inf, toinf-empty3, toinf-empty, swap-inf-to-from-app, swap-inf-from-to, size-succ, size-inf-toinf, size-from-less, get-inftoinf, from-from, from-append-toinffrom, from-append-tofrom, from-append-add, elim-fromto-inf, append-gr-to, append-from-gr-02,
• nat-inf/less-inf2 is used by to-unwind-end, size-succ, less-size-from, get-append-notls, from-succ, extensionality, contractinf-tl, contractinf-from1,
• nat-inf/less-succ-leq is used by to-unwind-end, size-succ,
• nat-inf/ls-le is used by to-is-prefix,
• nat-inf/ls-lsadd is used by size-from-less, from-append-tofrom,
• nat-inf/ls-natinf-to-nat-1-2 is used by to-append-add, swap-to-from-app, size-from-less, from-append-tofrom,
• nat-inf/ls-natinf-to-nat-2-1 is used by less-size-from, get-from, from-append-tofrom,
• nat-inf/ls-natinf-to-nat-2-2 is used by from-append-tofrom,
• nat-inf/ls-notlssucc is used by nlslen-lslensn-eqlensn,
• nat-inf/ls-one is used by to-empty4,
• nat-inf/lsle-trans is used by toinf-to-ls, get-toinf, extensionality-to,
• nat-inf/prime-add-fin is used by swap-to-from-app,
• nat-inf/sel-rqui-dotn is used by swap-to-from-app, size-from, get-append-notls, from-append-add, fin-size-from, contractinf-tl, contractinf-from1, append-from-gr-02, append-from-ge-02,
• nat-inf/zerols-neqzero is used by zero-len, from-to-exchange,

Used from specification list-getput

• list-getput/extension is used by ton-fromn-inf, ton-fromn-fin, to-inf-two, infapp-to-le, infapp-to-ge-01, from-append-tofrom, extensionality, appinf-to-split,
• list-getput/get-zero-01 is used by toone-equal,

Used from specification list-del

• list-del/get-append-grt is used by to-to-leq-inf, infapp-to-ge-01, get-infto, from-append-add,
• list-del/get-append-less is used by from-append-tofrom,
• list-del/get-numrec is used by from-succ,
• list-del/elim-firstn-restn is used by to-plus-from-fin-simp, infapp-to-le, infapp-from-le,
• list-del/first-append is used by append-to-le,
• list-del/first-length is used by length-to,
• list-del/firstN-empty is used by to-empty-fin2, to-empty-fin,
• list-del/firstN-zero is used by toone-cons-fin, toone-cons, to-zero, to-unwind-end-fin, to-to-leq-inf, to-from-01, to-empty-fin2, to-empty-fin, to-attach, to-all, single-to-one, append-to-le-01,
• list-del/firstn-app is used by append-to-addsize,
• list-del/firstn-firstn is used by to-to-leq,
• list-del/firstn-one is used by toone-cons-fin,
• list-del/firstn-one-01 is used by toone-equal,
• list-del/get-append-grt is used by from-append-tofrom, appinf-to-split, append-assoc,
• list-del/get-append-grt-02 is used by infapp-from-le, get-append-notls,
• list-del/get-append-less is used by infapp-to-le, infapp-to-ge-01, get-infto, get-append-ls, from-append-add, appinf-to-split, append-assoc,
• list-del/get-butlast is used by to-to-leq-inf,
• list-del/get-firstn is used by get-finto,
• list-del/get-succ is used by to-unwind-end-fin, to-inf-two, get-cons-succ,
• list-del/get-zero is used by to-unwind-end-fin, to-inf-two, get-cons-zero, from-succ,
• list-del/one-03 is used by to-to-leq-inf, to-inf-two, tl-lem, infappone-zero, infapp-one-to-succ2, infapp-one-to-succ, hd-lem, get-infto, contractinf-tl, contractinf-from1, cons-eq-inf, cons-eq, cons-append, appinf-one-get-zero,
• list-del/rest-empty is used by from-all,
• list-del/rest-len is used by length-from,
• list-del/restN-zero is used by to-from-01, from-zero, from-to-exchange, from-succ, from-cons-one-fin, from-all, append-from-size, append-from-le-01,
• list-del/restn-app is used by append-from-addsize,
• list-del/restn-apprec is used by from-from,
• list-del/restn-at is used by get-from-01,
• list-del/restn-nonempty-2 is used by lslen-fromnotempty,