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Theorem base summary for Specification nat-inf
Status:
Proved!
Axioms: 8, User Theorems: 69 (Proved: 69, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 159, Interactions: 65
add-all-inf(1,0)
add-cancel-num-04(3,0)
add-less-fin-01(2,0)
eq-natinf-to-nat-2-2(2,2)
inf-inseq-reduce(1,0)
less-less-leftsucc(4,2)
ls-natinf-to-nat-2-2(2,2)
ls-trans(4,1)
rem-seln-on-add(1,0)
add-all-zero(1,0)
add-comm(4,2)
add-ls-cancel-01(6,2)
eq-natinf-to-nat-3-1(2,2)
inf-less(2,0)
less-notgeqinf(2,1)
ls-natinf-to-nat-2-3(2,2)
lsle-trans(5,2)
sum-notinf(1,0)
add-assoc(5,4)
add-fin(0,0)
add-ls-cancel-num-01(3,0)
eq-natinf-to-nat-3-2(2,2)
lele-refl(4,1)
less-succ-leq(1,1)
ls-natinf-to-nat-3-1(2,2)
min-def(0,0)
sum-zero(2,0)
add-cancel-01(8,4)
add-inf(0,0)
add-ls-cancel-num-02(3,0)
eq-natinf-to-nat-3-3(2,2)
lele-trans(1,0)
ls-irref(2,0)
ls-natinf-to-nat-3-2(2,2)
min-inf1(1,1)
sum-zero-fin(8,2)
add-cancel-02(2,0)
add-inf-01(1,1)
add-ls-cancel-num-03(3,0)
eqls-ls-notls(1,0)
lels-trans(1,0)
ls-le(1,0)
ls-natinf-to-nat-3-3(2,2)
min-inf2(3,1)
zerols-neqzero(1,1)
add-cancel-03(1,1)
add-inf-02(5,2)
add-ls-cancel-num-04(3,0)
eqls-succ(1,0)
leq-notgradd(1,1)
ls-lsadd(1,1)
ls-notlssucc(1,0)
not-less-zero(1,1)
add-cancel-num-01(3,0)
add-inf1(0,0)
add-not-less(3,1)
eqsucc-ls(1,0)
less-fin(0,0)
ls-natinf-to-nat-1-2(2,2)
ls-one(2,1)
num-add(2,0)
add-cancel-num-02(5,0)
add-inf2(0,0)
addeqinf-cancel(1,0)
eqsucc-notls(1,0)
less-inf1(0,0)
ls-natinf-to-nat-1-3(2,2)
ls-succ(1,0)
onels-neqzero(1,1)
add-cancel-num-03(3,0)
add-less(2,0)
eq-natinf-to-nat-2-1(2,2)
eqsum-notless(1,0)
less-inf2(0,0)
ls-natinf-to-nat-2-1(2,2)
ls-succ-01(1,1)
prime-add-fin(4,3)