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Theorem base summary for Specification nat-div
Status:
Proved!
Axioms: 2, User Theorems: 146 (Proved: 146, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 544, Interactions: 170
Divdef(0,0)
exmult(3,1)
mod-eq-01(8,4)
mod-mult-01(2,1)
mod-succ-06(2,1)
mult-ls-01(3,1)
square-inject(7,6)
two-loup(5,1)
two-ls-01(2,0)
two-peq(3,1)
Moddef(0,0)
le(2,0)
mod-eq-02(2,1)
mod-neq(2,0)
mod-zero(3,1)
nummult-eq(2,0)
square-interval(11,10)
two-loup-01(2,0)
two-ls-02(3,0)
two-ppred(7,2)
add(3,1)
le-01(5,2)
mod-eq-mod-plus-1(5,2)
mod-nls(2,0)
mod-zero-01(3,1)
nummult-le-01(2,0)
square-ls(2,1)
two-loup-02(7,2)
two-ls-03(2,0)
two-rec(2,0)
cond(3,1)
le-div-to-mult(13,6)
mod-le(2,0)
mod-once(5,2)
mod2-succ(3,1)
nummult-le-03(2,0)
square-ls-01(2,1)
two-loup-03(2,0)
two-ls-04(3,1)
two-succ(2,0)
cond-01(3,1)
le-succ(3,1)
mod-le-01(2,0)
mod-one(2,1)
modex(3,0)
nummult-ls-01(2,0)
square-ls-02(3,2)
two-loup-04(11,3)
two-ls-05(3,1)
two-three(2,1)
div-add(3,1)
leq-modsucc(2,0)
mod-le-02(2,0)
mod-one-01(3,1)
modsucc-less(2,0)
nummult-ls-03(2,0)
square-ls-03(12,10)
two-loup-05(5,1)
two-mdiv2-02(2,0)
two-two-01(2,1)
div-elim(3,1)
ls(5,0)
mod-le-03(7,4)
mod-rec(3,0)
modsucc-neq(4,2)
one(3,1)
square-nle-01(8,5)
two-loup-06(5,1)
two-mdiv2-03(2,0)
two-two-02(2,0)
div-le(2,0)
ls-01(7,2)
mod-le-04(2,0)
mod-rew(5,3)
modulo-between-equal(5,2)
one-01(2,1)
square-nle-01-01(2,1)
two-loup-07(7,2)
two-neq(3,0)
two-twosucc-02(2,0)
div-le-01(2,0)
ls-02(5,2)
mod-ls(2,0)
mod-same(3,1)
modulo-between-equal2(2,0)
rax(4,1)
square-nls(5,2)
two-loup-08(5,1)
two-neq-01(2,0)
two-zero(2,0)
div-mult(3,1)
ls-03(9,5)
mod-ls-01(3,0)
mod-succ(3,0)
modulo-between-equal3(2,0)
rec(3,0)
two-eq(4,0)
two-loup-09(5,1)
two-neq-02(5,1)
two-zero-01(2,0)
div-one(2,1)
ls-even(2,0)
mod-ls-02(3,0)
mod-succ-01(5,0)
mult(6,2)
square-even(3,1)
two-le(2,0)
two-loup-10(3,0)
two-odd(2,0)
two-zero-01-01(5,1)
div-succ(8,5)
ls-succ(3,2)
mod-ls-03(3,0)
mod-succ-02(3,2)
mult-01(2,0)
square-even-01(2,1)
two-le-01(2,0)
two-loup-11(5,1)
two-odd-01(2,1)
zero(3,1)
div-succ-01(2,1)
mod-add(5,2)
mod-mod(5,2)
mod-succ-03(2,0)
mult-02(2,0)
square-even-02(2,1)
two-le-02(2,0)
two-loup-12(9,3)
two-one(2,0)
zero-01(3,1)
div-two-add(2,0)
mod-by6(24,12)
mod-mod-01(5,2)
mod-succ-04(7,0)
mult-div(3,1)
square-even-03(2,1)
two-le-03(2,1)
two-loup-13(5,1)
two-one-01(2,0)
div-two-mult(7,2)
mod-eq(3,1)
mod-mult(7,2)
mod-succ-05(3,0)
mult-ls(3,1)
square-inj(4,3)
two-le-04(2,0)
two-ls(3,0)
two-padd(2,0)