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Used simplifier rules/spec theorems by specification

Used from specification nat-basic

nat-basic/a is used by square-inj,
nat-basic/addex is used by le-div-to-mult,
nat-basic/less is used by two-loup-02,
nat-basic/lstwo is used by square-nls, two-zero-01-01,
nat-basic/pls is used by two-loup-05,
nat-basic/twols-02 is used by square-nle-01,
nat-basic/a is used by square-inject, mod-succ-06, ls, mod-eq-01, two-rec, square-nle-01, two-ls-01, ls-01, mod-succ, square-even-02, mod-succ-03, mod-by6, mod-rew, le-01, add, mod-mult, mult-ls-01, square-ls-02, two-loup-13, two-ppred, two-loup-07, div-elim, div-add, two-loup-04, two-loup-10, one-01, two-ls-02, mod-ls-01, mod-le-01, le-succ, two-loup-01, square-even-03, square-ls-03, mod-succ-01, mod-rec, rax, mod-one, le-div-to-mult, two-neq, mult, two-neq-01, mod-once, square-even, mod-succ-04, two-loup, ls-02, two-loup-02, two-three, div-succ-01, two-loup-08, mod-eq, two-loup-11, mod-ls-02, two-loup-05, square-interval, two-padd, two-mdiv2-02, mod-succ-05, div-two-add, mod-succ-02, square-nls, mod-neq, square-ls, square-even-01, mult-ls, mod-zero, modex, mod-mod-01, cond, div-mult, two-eq, mod-le-03, mod2-succ, div-two-mult, two-loup-06, square-ls-01, two-neq-02, square-nle-01-01, rec, ls-03, mod-eq-mod-plus-1, mod-nls, two-mdiv2-03, one, two-twosucc-02, mod-mult-01, two-loup-09, two-ls, two-zero-01-01, two-loup-12, div-succ, div-one, two-odd, two-peq,
nat-basic/add-base is used by mod-eq-01, square-nle-01, mod-mult, two-loup-13, two-ppred, div-elim, le-div-to-mult, mult, mod-succ-04, two-loup, two-loup-08, mod-eq, two-loup-11, mod-succ-02, square-nls, modex, two-loup-06, mod-eq-mod-plus-1, two-mdiv2-03, mod-mult-01, two-zero-01-01, two-loup-12,
nat-basic/between is used by two-loup-02, ls-03,
nat-basic/c is used by square-inject, mod-succ-06, ls, mod-eq-01, two-rec, square-nle-01, two-ls-01, ls-01, mod-succ, square-even-02, mod-succ-03, mod-by6, mod-rew, le-01, add, mod-mult, mult-ls-01, square-ls-02, two-loup-13, two-ppred, two-loup-07, div-elim, div-add, two-loup-04, two-loup-10, one-01, two-ls-02, mod-ls-01, mod-le-01, le-succ, two-loup-01, square-even-03, square-ls-03, mod-succ-01, mod-rec, rax, mod-one, le-div-to-mult, two-neq, mult, two-neq-01, mod-once, square-even, mod-succ-04, two-loup, ls-02, two-loup-02, two-three, div-succ-01, two-loup-08, mod-eq, two-two-01, two-loup-11, mod-ls-02, two-loup-05, square-interval, two-padd, two-mdiv2-02, mod-succ-05, div-two-add, mod-succ-02, square-nls, mod-neq, square-ls, square-even-01, mult-ls, mod-zero, modex, mod-mod-01, cond, div-mult, two-eq, mod-le-03, mod2-succ, div-two-mult, two-loup-06, square-ls-01, two-neq-02, square-nle-01-01, rec, ls-03, mod-eq-mod-plus-1, mod-nls, two-mdiv2-03, one, two-twosucc-02, mod-mult-01, two-loup-09, two-ls, two-zero-01-01, two-loup-12, div-succ, div-one, two-odd, two-peq,
nat-basic/eq-01 is used by square-inject, mod-eq-01, two-rec, mod-by6, two-ppred, div-elim, div-add, two-loup-10, square-ls-03, mod-succ-01, mult, div-two-add, mod-succ-02, rec, mod-eq-mod-plus-1, two-twosucc-02, two-loup-09, div-succ,
nat-basic/eq-02 is used by mod-eq-01, mod-one, div-succ-01, mod-zero, two-loup-09,
nat-basic/eqs is used by rax,
nat-basic/f is used by ls, mod-eq-01, square-nle-01, ls-01, le-01, add, mult-ls-01, two-loup-13, cond-01, two-ppred, two-loup-07, div-elim, two-loup-04, two-loup-10, two-ls-02, mod-ls-01, le-succ, two-loup-01, square-ls-03, mod-succ-01, le, le-div-to-mult, zero-01, mod-eq-02, mod-succ-04, two-loup, ls-02, two-loup-02, div-succ-01, two-loup-08, mod-eq, div-le, two-loup-11, mod-ls-02, two-loup-05, mod-succ-05, square-nls, mult-ls, modex, cond, mod-le-03, two-loup-06, mod-same, two-neq-02, square-nle-01-01, ls-03, mod-eq-mod-plus-1, mod-nls, two-loup-09, two-ls, two-zero-01-01, div-le-01, mod-ls-03, two-loup-12, nummult-le-01, two-peq,
nat-basic/l is used by le-01, two-loup-04, two-loup-10, square-ls-03, two-loup-02, two-loup-05, square-ls, mod-le-03, ls-03,
nat-basic/l-01 is used by le-01, add, two-loup-10, ls-03, one,
nat-basic/l-02 is used by ls-01, two-loup-04, mod-ls-01, le-succ, mod-ls-02, cond, two-loup-12,
nat-basic/l-05 is used by two-loup-07, two-loup-08, two-loup-06, two-peq,
nat-basic/l-06 is used by two-loup-05,
nat-basic/less-zero is used by mod-eq-01, nummult-ls-01, mod-succ-04, nummult-le-03, mod-eq-mod-plus-1, nummult-ls-03, nummult-le-01,
nat-basic/lf is used by two-loup-07, two-loup-04, mod-succ-04, two-loup, two-loup-08, two-loup-05, mod-succ-05, square-nls, two-loup-06, ls-03,
nat-basic/lf-01 is used by two-loup-04, two-loup-01, two-loup-02, two-loup-05, mod-same,
nat-basic/lf-02 is used by mod-eq-01, two-loup-07, two-loup-04, two-loup-01, mod-succ-04, two-loup-11, cond, mod-le-03, mod-same, two-peq,
nat-basic/ls-02 is used by two-loup-13, two-loup-04, one-01, two-loup, two-loup-08, two-loup-06, two-loup-03, mod-ls-03, two-loup-12,
nat-basic/neq-04 is used by one-01,
nat-basic/nls-fst is used by two-loup-07, two-loup-01, mod-succ-04,
nat-basic/one is used by square-nle-01, two-loup-10, two-loup-02, div-one,
nat-basic/one-01 is used by two-loup-01, mod-neq, square-nle-01-01, one,
nat-basic/one-02 is used by mod-one-01,
nat-basic/one-03 is used by two-ppred, two-loup-08, two-peq,
nat-basic/one-06 is used by two-zero-01-01, div-one,
nat-basic/oz is used by mod-succ-06, mod-succ, two-ppred, two-loup-04, le-succ, le-div-to-mult, two-loup-02, mod-succ-02, div-two-mult, two-zero-01-01, div-succ, div-one,
nat-basic/refl-nat is used by le-01, mult-ls-01, two-loup-07, ls-02, two-loup-11, mod-neq, mult-ls, ls-03, div-succ,
nat-basic/s-04 is used by le-01, add, mult-ls-01, le-succ, square-ls-03, ls-02, two-loup-02, two-loup-11, square-interval, mod-neq, mult-ls, square-ls-01, ls-03, div-succ,
nat-basic/succ is used by mod-by6, le-01, mod-mult, mult-ls-01, two-ppred, two-loup-07, one-01, le-div-to-mult, mult, mod-succ-04, two-loup, ls-02, two-loup-08, two-loup-05, mod-succ-05, mod-succ-02, square-nls, mult-ls, mod-le-03, two-loup-06, ls-03, one,
nat-basic/succ-03 is used by add, two-loup-04, two-loup-10, two-loup-01, mod-succ-01, two-loup-02, div-succ-01, two-loup-11,
nat-basic/trans-nat is used by two-loup-07, two-loup-04, mod-succ-04, two-loup, two-loup-02, two-loup-08, two-loup-05, mod-succ-05, square-nls, two-loup-06, ls-03,
nat-basic/twols is used by two-loup-04, two-loup-01, two-loup-02,
nat-basic/twols-02 is used by square-nle-01, two-loup-13, two-ppred, two-loup-10, square-even, two-loup, two-loup-02, two-loup-08, two-loup-11, mod2-succ, two-loup-06, two-odd-01, two-loup-09, two-loup-12,
nat-basic/z-01 is used by square-nle-01, le-succ, le-div-to-mult, two-neq, two-neq-01, mod-succ-02, mod-mod-01, two-eq, two-neq-02, div-succ,
nat-basic/z-02 is used by two-loup-04, two-loup-02, two-loup-08,
nat-basic/zero is used by mod-eq-01, nummult-ls-01, two-loup-01, mod-succ-04, mod-zero-01, modex, nummult-le-03, nummult-ls-03, nummult-le-01,

Used from specification nat

nat/fle-01 is used by ls-03,
nat/le-addex is used by ls-01,
nat/le-def is used by ls-succ,
nat/lels is used by square-ls-03,
nat/pls is used by two-loup-07, two-loup-04,
nat/trans-ls-le is used by square-ls-03,
nat/add-01 is used by two-ppred, mod-succ-02,
nat/add-num-03 is used by two-neq-01, two-neq-02,
nat/add-num-04 is used by div-two-mult,
nat/anti is used by two-loup-11,
nat/cancel-01 is used by mod-once,
nat/elim-pred-c is used by two-loup-04, two-loup-02, div-two-mult,
nat/elim-sub is used by mod-rec, rax, rec,
nat/eq-01 is used by mod-rew,
nat/eq-02 is used by two-loup-01,
nat/eqle-one is used by ls-03,
nat/fle is used by ls, le-01, two-loup-02, two-loup-08, ls-03, two-loup-12,
nat/fle-01 is used by ls-01, le-01, mult-ls-01, le, ls-02, two-loup-11, mult-ls, ls-03,
nat/l-num-01 is used by two-loup-02,
nat/l-num-04 is used by two-loup-02,
nat/l-num-05 is used by square-nle-01-01,
nat/le-add is used by le-div-to-mult,
nat/le-def is used by square-nle-01, two-ls-01, ls-01, two-loup-07, two-le, mod-le-01, le-succ, two-loup-01, le, le-div-to-mult, mod-once, square-interval, mod-le-02, mod-neq, cond, mod-le-03, mod-le,
nat/le-ls-simp is used by le-01, two-loup-07, square-ls-03, le-div-to-mult, two-loup-11, square-interval, mod-le-03, two-loup-12,
nat/le-one is used by mod-nls,
nat/lels is used by ls, add, mult-ls-01, mod-le-04, two-loup-07, two-loup-04, square-ls-03, ls-02, two-loup-02, two-loup-08, two-loup-11, square-interval, two-ls-03, two-padd, mod-ls, mult-ls, ls-03, two-loup-12,
nat/lels-02 is used by one-01, one,
nat/lels-03 is used by square-nle-01-01,
nat/lep is used by square-inject,
nat/lep-02 is used by square-ls-03, le-div-to-mult, mod-once, square-nle-01-01,
nat/ler is used by mod-le-04,
nat/let is used by mult-ls-01, mod-le-04, square-ls-03, ls-02,
nat/lez-01 is used by zero, ls, square-nle-01, ls-01,
nat/ls-01 is used by mod-neq,
nat/ls-le-simp is used by mult-ls-01, two-loup-13, cond-01, square-ls-03, two-loup, div-le, two-padd, ls-03, div-le-01, two-loup-12,
nat/succ-01 is used by square-ls-03, square-nle-01-01,

Used from specification nat-mult

nat-mult/dist is used by square-inject, ls-01, mod-by6, square-ls-03, le-div-to-mult, square-interval, two-neq-02,
nat-mult/mult-c is used by div-succ,
nat-mult/square-inject is used by square-inject,
nat-mult/square-interval is used by square-interval,
nat-mult/square-ls is used by square-ls-02,
nat-mult/coef-01 is used by mod-by6,
nat-mult/coef-04 is used by square-inject,
nat-mult/coef-08 is used by ls-03,
nat-mult/coef-18 is used by square-ls-03,
nat-mult/coef-21 is used by le-01, mult-ls-01, ls-02, square-interval, mult-ls, ls-03,
nat-mult/dist is used by two-loup-04, two-loup-02,
nat-mult/eq is used by exmult, modex, mult-div,
nat-mult/le is used by mult-ls-01,
nat-mult/le-05 is used by zero-01,
nat-mult/le-num is used by square-interval, two-le-03,
nat-mult/leone is used by div-le, two-ls-03, two-le-01, one, div-le-01,
nat-mult/ls is used by two-loup-04,
nat-mult/ls-01 is used by mod-eq-01,
nat-mult/ls-02 is used by le-01, ls-03,
nat-mult/ls-08 is used by mod-eq-01, two-ls-02, square-nls, two-ls,
nat-mult/mod-neq-01 is used by ls,
nat-mult/mod-neq-03 is used by mod-succ-04,
nat-mult/modeq is used by two-ppred, mod-succ-01, two-loup-09,
nat-mult/modeq-01 is used by two-mdiv2-02, div-mult, two-loup-09,
nat-mult/modls is used by two-loup-07, le-div-to-mult,
nat-mult/mult-a is used by mult-02, zero, square-inject, ls, mod-eq-01, square-nle-01, ls-01, mod-succ, square-even-02, mod-by6, le-01, mod-mult, mult-ls-01, square-ls-02, two-loup-13, cond-01, two-ppred, exmult, two-loup-07, two-le-02, div-elim, div-add, two-loup-04, two-loup-10, one-01, ls-even, two-ls-02, le-succ, two-loup-01, square-even-03, square-ls-03, mod-succ-01, le, mod-one, two-ls-05, le-div-to-mult, two-neq, zero-01, mult, two-neq-01, mod-once, square-even, mod-succ-04, two-loup, ls-02, two-loup-02, div-succ-01, nummult-eq, two-loup-08, mod-mod, mod-eq, div-le, two-loup-11, square-interval, two-ls-03, two-le-03, two-padd, mult-01, two-mdiv2-02, mod-succ-05, div-two-add, square-nls, square-ls, square-even-01, mult-ls, mod-zero, modex, mod-mod-01, cond, div-mult, two-eq, mod-le-03, mod2-succ, div-two-mult, two-loup-06, square-ls-01, two-neq-02, two-le-01, square-nle-01-01, ls-03, mod-eq-mod-plus-1, two-mdiv2-03, one, two-twosucc-02, mult-div, two-loup-09, two-ls, two-zero-01-01, div-le-01, two-loup-12, div-succ, two-ls-04, two-odd, two-peq,
nat-mult/mult-c is used by mult-02, zero, square-inject, ls, mod-eq-01, square-nle-01, ls-01, mod-succ, square-even-02, mod-by6, le-01, mod-mult, mult-ls-01, square-ls-02, two-loup-13, cond-01, two-ppred, exmult, two-loup-07, two-le-02, div-elim, div-add, two-loup-04, two-loup-10, one-01, ls-even, two-ls-02, le-succ, two-loup-01, square-even-03, square-ls-03, mod-succ-01, le, mod-one, two-ls-05, le-div-to-mult, two-neq, zero-01, mult, two-neq-01, mod-once, square-even, mod-succ-04, two-loup, ls-02, two-loup-02, div-succ-01, nummult-eq, two-loup-08, mod-mod, mod-eq, div-le, two-two-01, two-loup-11, two-loup-05, square-interval, two-ls-03, two-le-03, two-padd, mult-01, two-mdiv2-02, mod-succ-05, div-two-add, square-nls, square-ls, square-even-01, mult-ls, mod-zero, modex, mod-mod-01, cond, div-mult, two-eq, mod-le-03, mod2-succ, div-two-mult, two-loup-06, square-ls-01, two-neq-02, two-le-01, square-nle-01-01, ls-03, mod-eq-mod-plus-1, two-mdiv2-03, one, two-twosucc-02, mult-div, two-loup-09, two-ls, two-zero-01-01, div-le-01, two-loup-12, div-succ, two-ls-04, two-odd, two-peq,
nat-mult/nonumsimp-succ is used by mod-succ,
nat-mult/numeral-01 is used by mod-by6,
nat-mult/numeral-19 is used by mod-by6, two-loup-10, two-loup-11, two-loup-09, two-peq,
nat-mult/numeral-24 is used by ls-03,
nat-mult/numeral-26 is used by two-padd,
nat-mult/numeral-28 is used by two-neq, two-neq-01, two-eq, two-neq-02,
nat-mult/one is used by two-loup-10, one-01, mod-one, two-neq, two-neq-01, mod-succ-04, two-loup-11, two-padd, mod-zero, two-eq, two-neq-02, ls-03, two-loup-09, two-peq,
nat-mult/rdist is used by mod-by6,
nat-mult/rsucc-02 is used by square-inject, square-nle-01, square-even-02, mod-by6, le-01, mod-mult, mult-ls-01, square-ls-02, two-ppred, one-01, le-succ, square-even-03, square-ls-03, le-div-to-mult, mult, two-neq-01, mod-once, square-even, ls-02, square-interval, square-nls, square-ls, square-even-01, mult-ls, mod-le-03, square-ls-01, two-neq-02, square-nle-01-01, ls-03, one, div-succ,
nat-mult/square-even-01 is used by square-nle-01, square-even, square-nls,
nat-mult/square-two is used by square-nle-01,
nat-mult/succ is used by square-inject, mod-by6,
nat-mult/succ-01 is used by mod-succ-04, mod-eq-mod-plus-1,
nat-mult/two-02 is used by mod-by6, two-loup-07, two-loup-04, two-loup-10, two-loup-02, two-loup-11, two-loup-05, ls-03, two-loup-09, two-peq,
nat-mult/two-ls-01 is used by two-ls-05, two-ls-04,
nat-mult/two-one-01 is used by two-ppred, two-zero-01-01,
nat-mult/two-zero-01 is used by square-nle-01, two-loup-07, two-loup-04, two-loup-08,
nat-mult/twoeqf is used by two-loup-13, two-loup, two-loup-11, square-nls, two-loup-12,
nat-mult/twoeqf-01 is used by two-loup-08, square-nls, two-loup-06, two-loup-12,
nat-mult/twoeqf-02 is used by two-loup-13, two-loup, two-loup-11, two-loup-12,
nat-mult/twoeqf-03 is used by two-loup-08, two-loup-06, two-loup-12,
nat-mult/zero is used by mod-eq-01, mod-mult, mod-succ-01, mult, mod-succ-04, nummult-eq, mod-eq, mod-mod-01, mod-eq-mod-plus-1,
nat-mult/zero-01 is used by mod-eq-01,
nat-mult/zero-02 is used by square-inject,
nat-mult/zero-06 is used by zero, ls-01, le-01, cond-01, le-succ, le, mod-mod, mod-mod-01, cond, ls-03, one, two-zero-01-01,