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Theorem base summary for Specification nat-inf
Status:
Proved!
Axioms: 14, User Theorems: 73 (Proved: 73, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 243, Interactions: 77
add-all-inf(2,0)
add-cancel-num-04(3,0)
add-less-fin-01(3,0)
disj-rqui-infty(0,0)
eqsucc-ls(2,0)
lele-trans(2,0)
ls-irref(3,0)
ls-natinf-to-nat-3-2(3,2)
min-inf1(2,1)
rem-seln-on-add(2,0)
add-all-zero(3,1)
add-comm(7,4)
add-ls-cancel-01(12,5)
elim-rqui(0,0)
eqsucc-notls(2,0)
lels-trans(2,0)
ls-le(2,0)
ls-natinf-to-nat-3-3(3,2)
min-inf2(4,1)
sel-rqui-dotn(0,0)
add-assoc(10,7)
add-fin(0,0)
add-ls-cancel-num-01(3,0)
eq-natinf-to-nat-2-1(3,2)
eqsum-notless(2,0)
leq-notgradd(2,1)
ls-lsadd(2,1)
ls-notlssucc(3,1)
min-not-inf(3,2)
sum-notinf(2,0)
add-cancel-01(9,3)
add-inf(0,0)
add-ls-cancel-num-02(3,0)
eq-natinf-to-nat-2-2(3,2)
fin-inject-embed(3,0)
less-fin(0,0)
ls-natinf-to-nat-1-2(3,2)
ls-one(3,1)
not-less-zero(2,1)
sum-zero(3,0)
add-cancel-02(3,0)
add-inf-01(7,4)
add-ls-cancel-num-03(3,0)
eq-natinf-to-nat-3-1(3,2)
gen(0,0)
less-inf1(0,0)
ls-natinf-to-nat-1-3(3,2)
ls-succ(2,0)
notinf-fin(2,0)
sum-zero-fin(9,2)
add-cancel-03(2,1)
add-inf-02(2,0)
add-ls-cancel-num-04(3,0)
eq-natinf-to-nat-3-2(3,2)
inf-inseq-reduce(2,0)
less-inf2(0,0)
ls-natinf-to-nat-2-1(3,2)
ls-succ-01(2,1)
notinf-fin-sym(2,0)
zerols-neqzero(2,1)
add-cancel-num-01(3,0)
add-inf1(0,0)
add-not-less(4,1)
eq-natinf-to-nat-3-3(3,2)
inf-less(3,0)
less-less-leftsucc(5,2)
ls-natinf-to-nat-2-2(3,2)
ls-trans(5,1)
num-add(2,0)
add-cancel-num-02(5,0)
add-inf2(0,0)
addeqinf-cancel(2,0)
eqls-ls-notls(2,0)
inj-rqui(0,0)
less-notgeqinf(3,1)
ls-natinf-to-nat-2-3(3,2)
lsle-trans(6,2)
onels-neqzero(2,1)
add-cancel-num-03(3,0)
add-less(3,0)
case-natinf(0,0)
eqls-succ(2,0)
lele-refl(5,1)
less-succ-leq(2,1)
ls-natinf-to-nat-3-1(3,2)
min-def(0,0)
prime-add-fin(5,3)