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Used simplifier rules/spec theorems by specification

Used from specification nat

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

Used from specification nat-basic2

nat-basic2/a is used by square-inj,
nat-basic2/addex is used by le-div-to-mult,
nat-basic2/less is used by two-loup-02,
nat-basic2/pls is used by two-loup-05,
nat-basic2/a is used by two-zero-01-01, two-twosucc-02, two-three, two-rec, two-ppred, two-peq, two-padd, two-odd, two-neq-02, two-neq-01, two-neq, two-mdiv2-03, two-mdiv2-02, two-ls-02, two-ls-01, two-ls, two-loup-13, two-loup-12, two-loup-11, two-loup-10, two-loup-09, two-loup-08, two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup-02, two-loup-01, two-loup, two-eq, square-nls, square-nle-01-01, square-nle-01, square-ls-03, square-ls-02, square-ls-01, square-ls, square-interval, square-inject, square-even-03, square-even-02, square-even-01, square-even, rec, rax, one-01, one, mult-ls-01, mult-ls, mult, modex, mod2-succ, mod-zero, mod-succ-06, mod-succ-05, mod-succ-04, mod-succ-03, mod-succ-02, mod-succ-01, mod-succ, mod-rew, mod-rec, mod-one, mod-once, mod-nls, mod-neq, mod-mult-01, mod-mult, mod-mod-01, mod-ls-02, mod-ls-01, mod-le-03, mod-le-01, mod-eq-02, mod-eq-01, mod-eq, mod-by6, ls-03, ls-02, ls-01, ls, le-succ, le-div-to-mult, le-01, div-two-mult, div-two-add, div-succ-01, div-succ, div-one, div-mult, div-elim, div-add, cond, add,
nat-basic2/add-base is used by two-zero-01-01, two-ppred, two-mdiv2-03, two-loup-13, two-loup-12, two-loup-11, two-loup-06, two-loup, square-nls, square-nle-01, mult, modex, mod-succ-04, mod-succ-02, mod-mult-01, mod-mult, mod-eq, le-div-to-mult, div-elim,
nat-basic2/between is used by ls-03,
nat-basic2/c is used by two-zero-01-01, two-twosucc-02, two-two-01, two-three, two-rec, two-ppred, two-peq, two-padd, two-odd, two-neq-02, two-neq-01, two-neq, two-mdiv2-03, two-mdiv2-02, two-ls-02, two-ls-01, two-ls, two-loup-13, two-loup-12, two-loup-11, two-loup-10, two-loup-09, two-loup-08, two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup-02, two-loup-01, two-loup, two-eq, square-nls, square-nle-01-01, square-nle-01, square-ls-03, square-ls-02, square-ls-01, square-ls, square-interval, square-inject, square-even-03, square-even-02, square-even-01, square-even, rec, rax, one-01, one, mult-ls-01, mult-ls, mult, modex, mod2-succ, mod-zero, mod-succ-06, mod-succ-05, mod-succ-04, mod-succ-03, mod-succ-02, mod-succ-01, mod-succ, mod-rew, mod-rec, mod-one, mod-once, mod-nls, mod-neq, mod-mult-01, mod-mult, mod-mod-01, mod-ls-02, mod-ls-01, mod-le-03, mod-le-01, mod-eq-02, mod-eq-01, mod-eq, mod-by6, ls-03, ls-02, ls-01, ls, le-succ, le-div-to-mult, le-01, div-two-mult, div-two-add, div-succ-01, div-succ, div-one, div-mult, div-elim, div-add, cond, add,
nat-basic2/eq is used by two-loup-09, mod-zero, mod-one, div-succ-01,
nat-basic2/eq-01 is used by two-twosucc-02, two-rec, two-ppred, two-loup-10, two-loup-09, square-ls-03, square-inject, rec, mult, mod-succ-02, mod-rew, mod-eq-01, mod-by6, div-two-add, div-succ, div-elim, div-add,
nat-basic2/eqs is used by rax,
nat-basic2/l is used by two-loup-10, two-loup-05, two-loup-04, two-loup-02, square-ls-03, square-ls, mod-succ-05, mod-le-03, ls-03, le-01,
nat-basic2/l-01 is used by two-loup-10, one, ls-03, le-01, add,
nat-basic2/l-02 is used by two-loup-12, two-loup-04, mod-ls-02, mod-ls-01, cond,
nat-basic2/l-05 is used by two-peq, two-loup-08, two-loup-07, two-loup-06,
nat-basic2/l-06 is used by two-loup-05,
nat-basic2/l-08 is used by two-loup-04,
nat-basic2/neq-01 is used by one-01,
nat-basic2/nls-fst is used by two-loup-07, two-loup-04, two-loup-01, mod-succ-04,
nat-basic2/one is used by two-ppred, two-peq, two-loup-08, two-eq,
nat-basic2/one-03 is used by two-zero-01-01, div-one,
nat-basic2/oz is used by two-zero-01-01, two-ppred, two-neq-02, two-neq-01, two-loup-04, two-loup-02, mod-succ-06, mod-succ-02, mod-succ, le-succ, le-div-to-mult, div-two-mult, div-succ, div-one,
nat-basic2/s is used by two-loup-11, two-loup-02, square-ls-03, square-ls-01, square-interval, mult-ls-01, mult-ls, mod-neq, ls-03, ls-02, le-succ, le-01, div-succ, add,
nat-basic2/succ is used by two-ppred, two-loup-08, two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup-02, two-loup, square-nls, one-01, one, mult-ls-01, mult-ls, mult, mod-succ-05, mod-succ-04, mod-succ-02, mod-mult, mod-le-03, mod-by6, ls-03, ls-02, le-div-to-mult, le-01,
nat-basic2/succ-03 is used by two-loup-11, two-loup-10, two-loup-04, two-loup-02, two-loup-01, mod-succ-01, div-succ-01, add,
nat-basic2/twols is used by two-loup-04, two-loup-02, two-loup-01,
nat-basic2/z is used by two-loup-08, two-loup-02,
nat-basic2/z-01 is used by two-peq, two-neq-02, two-neq-01, two-neq, two-eq, square-nle-01, mod-succ-02, mod-mod-01, le-div-to-mult, div-succ,

Used from specification nat-mult

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

Used from specification nat-basic1

nat-basic1/twols-01 is used by two-zero-01-01, square-nls,
nat-basic1/twols-02 is used by square-nle-01,
nat-basic1/f is used by zero-01, two-zero-01-01, two-ppred, two-peq, two-ls-02, two-ls, two-loup-13, two-loup-12, two-loup-11, two-loup-10, two-loup-09, two-loup-08, two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup-02, two-loup-01, two-loup, square-nls, square-nle-01-01, square-nle-01, square-ls-03, mult-ls-01, mult-ls, mod-succ-05, mod-succ-04, mod-succ-01, mod-same, mod-nls, mod-ls-03, mod-ls-02, mod-ls-01, mod-le-03, mod-eq-01, mod-eq, ls-03, ls-02, ls-01, ls, le-succ, le-div-to-mult, le-01, le, div-succ-01, div-elim, cond-01, cond, add,
nat-basic1/lf is used by two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup, square-nls, mod-succ-05, mod-succ-04, ls-03,
nat-basic1/lf-01 is used by two-peq, two-loup-10, two-loup-05, two-loup-04, two-loup-02, two-loup-01, square-nle-01-01, mod-same, ls-03,
nat-basic1/lf-02 is used by two-peq, two-loup-11, two-loup-10, two-loup-07, two-loup-04, two-loup-02, two-loup-01, mod-succ-04, mod-same, mod-le-03, mod-eq-01, ls-03, cond,
nat-basic1/ls-02 is used by two-loup-13, two-loup-12, two-loup-08, two-loup-06, two-loup-04, two-loup-03, two-loup, one-01, mod-ls-03,
nat-basic1/one is used by two-loup-10, two-loup-04, two-loup-02, square-nle-01, div-one,
nat-basic1/one-01 is used by two-loup-04, two-loup-01, square-nle-01-01, one, mod-neq,
nat-basic1/one-02 is used by mod-one-01,
nat-basic1/ref-1 is used by two-loup-11, two-loup-07, square-ls-03, mult-ls-01, mult-ls, mod-neq, ls-03, ls-02, le-01, div-succ,
nat-basic1/trans is used by two-loup-08, two-loup-02, square-ls-03,
nat-basic1/trans-1 is used by two-loup-08, two-loup-07, two-loup-06, two-loup-05, two-loup-04, two-loup-02, two-loup, square-nls, square-ls-03, mod-succ-05, mod-succ-04, ls-03,
nat-basic1/twols-01 is used by two-loup-02,
nat-basic1/twols-02 is used by two-ppred, two-odd-01, two-loup-13, two-loup-12, two-loup-11, two-loup-10, two-loup-09, two-loup-08, two-loup-06, two-loup, square-nle-01, square-even, mod2-succ,
nat-basic1/z is used by two-loup-08,
nat-basic1/zero is used by two-loup-04, two-loup-01, nummult-ls-03, nummult-ls-01, nummult-le-03, nummult-le-01, modex, mod-zero-01, mod-succ-04,
nat-basic1/zero-01 is used by nummult-ls-03, nummult-ls-01, nummult-le-03, nummult-le-01,