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Theorem base summary for Specification real-multdiv
Status:
Proved!
Axioms: 8, User Theorems: 231 (Proved: 231, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 832, Interactions: 341
abs-eqall(9,0)
eq-same-02(2,0)
invmult-gr-neg-add(2,1)
le-same-03(2,1)
ls-same-03(2,1)
num-distr(2,1)
pls-pos(2,1)
square-le(72,44)
twice-le-zero(2,1)
zero-ge-03(2,1)
abs-eqneg(2,0)
eq-same-03(2,0)
invmult-gr-pos(2,1)
le-same-04(7,3)
ls-same-04(2,0)
num-distr-add-eq1(4,1)
pls-pos-01(2,0)
square-le-03(2,0)
twice-ls-zero(2,0)
zero-ge-add-01(2,0)
abs-ite(2,0)
eq-succ(2,0)
invmult-gr-pos-add(2,1)
le-same-05(3,1)
ls-same-05(6,3)
num-distr-add-eq2(4,1)
pls-pos-02(2,0)
square-le-04(10,7)
two-def(0,0)
zero-ge-add-02(9,6)
abs-le-one-multiple(7,3)
eq-succ-01(2,0)
invmult-le-neg(6,5)
le-same-06(2,0)
ls-two(2,0)
num-distr-add-le1(4,1)
pnle-neg(3,1)
square-le-05(4,3)
two-eq(2,0)
zero-ge-case(6,3)
abs-ls-multiple-one(7,0)
est-nle(2,0)
invmult-le-neg-add(5,4)
ls-add-02(2,0)
ls-two-01(2,0)
num-distr-add-le2(4,1)
pnle-pos(3,1)
square-le-05a(2,1)
two-le(2,0)
zero-gr(2,1)
abs-ls-one-multiple(7,0)
inv-def(0,0)
invmult-le-pos(6,5)
ls-add-03(2,0)
ls-two-02(2,0)
num-distr-add-ls1(4,1)
pnls-neg(3,1)
square-le-one(2,1)
two-le-01(2,0)
zero-gr-01(6,3)
abs-ls-same(6,0)
inv-eq(5,3)
invmult-le-pos-add(5,4)
ls-dist(2,0)
ls-two-03(2,0)
num-distr-add-ls2(4,1)
pnls-negpos(4,2)
square-lez(3,2)
two-le-02(2,0)
zero-gr-02(2,1)
abs-not-neg(7,0)
inv-ge-neg(2,1)
invmult-ls-neg(6,5)
ls-dist-01(2,0)
minus-left(4,2)
num-distr-addboth-eq1(4,1)
pnls-pos(4,2)
square-lez-01(3,1)
two-le-03(2,0)
zero-gr-03(2,1)
add-mult-two(3,2)
inv-ge-pos(2,1)
invmult-ls-neg-add(5,4)
ls-dist-02(2,0)
minus-one(4,2)
num-distr-addboth-eq2(4,1)
pnls-posneg(4,2)
square-ls(3,2)
two-le-04(2,0)
zero-gr-add-01(2,0)
commutativity(2,0)
inv-gr-neg(2,1)
invmult-ls-pos(6,5)
ls-dist-03(2,0)
minus-one-01(2,0)
num-distr-addboth-le1(4,1)
posint-factor(3,1)
square-ls-01(2,0)
two-ls(2,0)
zero-gr-case(5,3)
distr(0,0)
inv-gr-pos(2,1)
invmult-ls-pos-add(5,4)
ls-dist-04(2,0)
mods-ls(3,1)
num-distr-addboth-le2(4,1)
pzero-gr(2,1)
square-ls-02(7,3)
two-ls-01(2,0)
zero-le(2,1)
div-def(0,0)
inv-le-neg(6,5)
le-abs(7,0)
ls-dist-05(2,0)
mods-zero-07(3,2)
num-distr-addboth-ls1(4,1)
pzero-ls(3,1)
square-ls-03(3,2)
two-ls-02(2,1)
zero-le-01(4,2)
eq-dist(2,0)
inv-le-pos(6,5)
le-dist(2,0)
ls-dist-06(2,0)
mult-add-greater(2,0)
num-distr-addboth-ls2(4,1)
square-abs(3,0)
square-ls-03a(2,1)
two-ls-03(2,0)
zero-le-02(2,1)
eq-neg(3,1)
inv-ls-neg(6,5)
le-dist-01(2,0)
ls-forward(2,0)
mult-ass(0,0)
num-distr-eq1(4,1)
square-eq(5,4)
square-ls-04(4,2)
two-ls-04(2,0)
zero-le-03(2,1)
eq-neg-01(2,1)
inv-ls-pos(6,5)
le-dist-02(2,0)
ls-neg(6,3)
mult-com(0,0)
num-distr-eq2(4,1)
square-eq-01(7,3)
square-ls-04a(2,1)
two-sub(3,2)
zero-le-case(6,3)
eq-nonzero(6,3)
inv-mult(4,2)
le-neg(11,9)
ls-neg-01(2,1)
mult-gt-both(2,1)
num-distr-le1(4,1)
square-eq-02(5,2)
square-ls-one(4,1)
two-sub-01(2,0)
zero-left(2,1)
eq-nonzero-01(2,0)
inv-mult-add-eq(2,0)
le-neg-01(2,0)
ls-negint(2,1)
mult-gt-one(2,0)
num-distr-le2(4,1)
square-eq-03(3,1)
square-minus(2,0)
two-sub-02(2,1)
zero-ls(2,1)
eq-nonzero-02(2,0)
inv-twice(2,1)
le-negint(2,1)
ls-pos(4,3)
mult-one(0,0)
num-distr-ls1(5,1)
square-eq-one(6,1)
square-zero(2,1)
two-sub-03(2,1)
zero-ls-01(2,0)
eq-nonzero-03(2,0)
invmult-eq(2,1)
le-pos(9,7)
ls-pos-01(2,0)
mult-pos(2,1)
num-distr-ls2(4,1)
square-ge-one(6,1)
square-zero-01(3,2)
two-sub-04(2,1)
zero-ls-02(2,1)
eq-nonzero-int(3,1)
invmult-ge-neg(2,1)
le-pos-01(2,0)
ls-pos-02(3,0)
mult-pos-pos(2,0)
order(0,0)
square-gez(2,0)
square-zero-01a(2,1)
two-sub-05(2,1)
zero-ls-03(4,2)
eq-pos(3,1)
invmult-ge-neg-add(2,1)
le-posint(3,1)
ls-posint(3,1)
mult-zero(3,2)
ple-neg(3,1)
square-gez-01(3,1)
square-zero-02(2,1)
zero-eq(5,3)
zero-ls-case(5,3)
eq-pos-01(2,0)
invmult-ge-pos(2,1)
le-same(6,5)
ls-same(2,1)
neq-not-zero(2,0)
ple-pos(4,2)
square-gr-one(4,1)
succ-lsplit(2,0)
zero-ge(2,1)
zero-neq(3,1)
eq-same(3,2)
invmult-ge-pos-add(2,1)
le-same-01(4,2)
ls-same-01(3,1)
neq-not-zero-01(2,0)
ple-pos-better(2,1)
square-interval(10,5)
succ-rmerge(2,0)
zero-ge-01(2,1)
zero-neq-01(9,5)
eq-same-01(2,0)
invmult-gr-neg(2,1)
le-same-02(4,2)
ls-same-02(2,1)
noeth-zero-ls(2,0)
pls-neg(2,1)
square-interval-01(9,6)
succ-rsplit(2,0)
zero-ge-02(2,1)