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Theorem base summary for Specification stream
Status:
Proved!
Axioms: 30, User Theorems: 218 (Proved: 218, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 851, Interactions: 407
append-assoc(19,10)
append-inf(0,0)
cons-to-num(3,0)
fin-to(1,1)
from-succ-cons-l-lem(2,2)
hd-fin-lem(3,3)
neq-fin-inf-01(3,2)
swap-inf-from-to(1,1)
to-inf(0,0)
toinf-add(2,2)
append-cancel-l(10,7)
append-notsmallersize1(1,0)
constrrew(1,0)
fin-toinf(1,0)
from-to-exchange(5,3)
hd-inf(0,0)
neq-fin-inf-02(4,3)
swap-inf-to-from(4,1)
to-inf-one(2,1)
toinf-empty(2,0)
append-cancel-l-02(6,3)
append-notsmallersize2(1,0)
contractinf-from1(5,2)
finlen-tolen(2,1)
from-zero(1,1)
hd-lem(2,2)
neq-fin-inf-03(5,3)
swap-inf-to-from-app(4,1)
to-plus-from(1,0)
toinf-empty-inf(2,0)
append-cancel-r-01(1,0)
append-split(21,13)
contractinf-tl(6,2)
finp-append-01(1,0)
from-zero-l(0,0)
hd-one(1,1)
nlslen-lslensn-eqlensn(1,0)
swap-to-from(4,1)
to-plus-from-fin(6,2)
toinf-empty2(2,0)
append-cancel-r-02(2,1)
append-to-addsize(1,1)
elim-fromto(16,8)
finp-append-02(1,1)
fun-nonempty(1,1)
inf-not-to(2,1)
notfin-sizeinf(1,0)
swap-to-from-app(44,17)
to-plus-from-fin-simp(1,1)
toinf-empty3(2,1)
append-cancel-r-04(1,1)
append-to-addsize-01(1,1)
elim-fromto-fin(1,1)
finp-empty(1,1)
get-append-ls(5,3)
inf-not-toinf-exceptinf(2,1)
one-inf(2,1)
tl-fin(0,0)
to-plus-from-inf(3,2)
toinf-fin(0,0)
append-cut1(1,1)
append-to-gr(6,1)
elim-fromto-inf(3,2)
finp-infto(1,0)
get-append-notls(8,3)
inf-size-from(2,1)
prefix-def(0,0)
tl-fin-1(1,1)
to-plus-from-inf-simp(5,1)
toinf-inf(0,0)
append-empty(3,3)
append-to-gr-01(10,2)
elim-hd-tl(10,3)
finp-to(1,0)
get-append2-fin(2,2)
inf-size-to(1,0)
sel-fin(0,0)
tl-fin-lem(3,3)
to-plus-from-simp(2,1)
toinf-to-eq(2,0)
append-empty-01(9,6)
append-to-le(6,2)
empty(0,0)
from-all(1,1)
get-append3-fin(2,2)
intrace-expand(5,1)
sel-inf(0,0)
tl-inf(0,0)
to-succ-cons(6,3)
toinf-to-eq-inf(1,0)
append-eq-inf(1,0)
append-to-le-01(6,2)
empty-append(5,5)
from-append-add(33,16)
get-cons-num(2,1)
length-from(8,2)
single-to-one(1,1)
tl-inf-1(1,1)
to-succ-cons-l(0,0)
toinf-to-leq(2,1)
append-extract-list(5,0)
append-to-ls(2,0)
empty-leq(2,1)
from-append-tofrom(14,6)
get-cons-succ(3,2)
length-to(6,2)
size-append(7,5)
tl-lem(2,2)
to-succ-cons-l-lem(2,2)
toinf-to-leq-inf(1,0)
append-extract-list-2(1,0)
append-to-size(1,1)
eq-stream-to-list-2-1(3,2)
from-append-toinffrom(4,2)
get-cons-zero(2,2)
leq-append-both(5,2)
size-empty(2,2)
tl-one(1,1)
to-succ-nf(0,0)
toinf-to-ls(2,1)
append-finfin(0,0)
append-to-size-01(1,1)
eq-stream-to-list-2-2(3,3)
from-appfin(2,2)
get-finto(10,3)
leq-append-left(2,1)
size-empty-equiv(2,1)
to-all(1,1)
to-to-eq(2,1)
toinflen(2,0)
append-fininf(0,0)
append-toinf-ls(2,1)
eq-stream-to-list-3-1(3,2)
from-cons-one(7,6)
get-fintoinf(1,0)
leq-append-right(2,1)
size-fin(0,0)
to-append-add(4,2)
to-to-eq-inf(1,1)
toinfto-append-add(1,0)
append-from-addsize(3,2)
appendend-equal(1,0)
eq-stream-to-list-3-2(4,4)
from-cons-one-fin(1,1)
get-from(2,1)
leq-empty(1,1)
size-from-inf(1,0)
to-appfin(2,2)
to-to-leq(19,8)
toinftoinf-append-add(4,2)
append-from-addsize-01(3,1)
cons-append(5,5)
eq-stream-to-list-3-3(3,3)
from-fin(0,0)
get-from-01(6,2)
leq-prefix(4,1)
size-from-less(2,0)
to-attach(1,0)
to-to-leq-inf(17,7)
ton-fromn(4,2)
append-from-ge-01(1,1)
cons-empty(1,0)
expand-cons(13,4)
from-from(11,5)
get-from-inf(1,1)
leq-refl(1,1)
size-inf(0,0)
to-empty(2,1)
to-to-ls(2,1)
ton-fromn-fin(2,1)
append-from-ge-02(3,2)
cons-eq(11,9)
extensionality(13,5)
from-from-inf(1,1)
get-from-inf-zero(1,1)
leq-symm(1,0)
size-inf-to(5,2)
to-empty-fin(2,1)
to-unwind-begin(2,1)
ton-fromn-inf(1,1)
append-from-gr-01(2,0)
cons-eq-inf(8,2)
extensionality-to(9,5)
from-inf(0,0)
get-from-zero(2,1)
leq-symm-2(4,2)
size-inf-toinf(1,0)
to-empty-fin2(2,1)
to-unwind-begin-fin(2,0)
toone-cons(1,1)
append-from-gr-02(1,1)
cons-extract-list(5,2)
extract-empty(2,2)
from-infto-exchange(4,2)
get-infto(9,3)
leq-trans(7,4)
size-succ(1,1)
to-empty-inf(2,1)
to-unwind-end(17,9)
toone-cons-fin(1,1)
append-from-gt(6,1)
cons-fin(0,0)
fin-empty(2,2)
from-nf(0,0)
get-inftoinf(1,0)
less-size-from(2,1)
size-to(1,1)
to-empty2(2,1)
to-unwind-end-fin(6,2)
toone-equal(4,0)
append-from-le(6,2)
cons-from-addnum(3,0)
fin-finlen-tolen(1,0)
from-nf-zero(1,1)
get-to(2,1)
lslen-fromnotempty(2,0)
size-to-02(2,1)
to-empty3(2,1)
to-unwind-end-inf(6,3)
toone-one(1,1)
append-from-le-01(6,2)
cons-from-num(3,0)
fin-neq-inf(1,0)
from-succ(17,5)
get-to-02(2,1)
lslen-fromnotempty-list(2,1)
size-toinf(2,0)
to-empty4(2,1)
to-zero(1,1)
zero-len(1,1)
append-from-size(1,1)
cons-inf(0,0)
fin-size-from(1,0)
from-succ-cons(4,4)
get-toinf(2,1)
modify-fin(0,0)
stream-empty(1,0)
to-fin(0,0)
to-zero-l(0,0)
append-from-size-01(1,1)
cons-to-addnum(3,0)
fin-size-from2(1,0)
from-succ-cons-l(0,0)
hd-fin(0,0)
modify-inf(0,0)
swap-from-to(21,11)
to-from-01(8,3)
to-zero-nf(0,0)