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Lemma dependency for Specification set-basic

A lemma (entry) may depend on lemmas (entries) below its position, but never on lemmas above its position. This means the list is a topological order of the dependency graph. An entry 'all subs proved' means that all used lemmas are (transitively) proved.

Name: Status: Subs proved? Used:
subset-insert-02provedall subs proved Subset, subset-insert, ins-two, eq, ne-02, ne-01, sub-insert, addthree, addtwo, subset-insert-01, add-01, In-insert,
subset-insert-01provedall subs proved Subset, ins-two, eq, ne-02, ne-01, sub-insert, addthree, addtwo, subset-insert, add-01, In-insert,
size-two-05provedall subs proved size-two, in-04, In-insert,
subset-insertprovedall subs proved Subset, sub-idem, sub-add-01, ins-two, eq, ne-02, ne-01, sub-insert, addtwo, subset, add-01, In-insert,
size-twoprovedall subs proved ne, Size-empty, size-zero-02, In-insert, Extension, size-one-03, In-empty, eq-02, eq, in-04, size-one-01, size-one, Size-insert, indef, ne-02, ne-01, selsize,
subsize-eq-01provedall subs proved subsize-eq, sub-idem,
sub-sizeneqexprovedall subs proved sub-size, size-exgr,
sub-size-eqprovedall subs proved sizesubl, ne-02, ne-01, sub-in, Extension,
sub-oneprovedall subs proved Extension, In-empty, eq, in-04, size-one-03, size-zero, size-zero-01, Subset,
sizesubprovedall subs proved sub-size,
size-three-02provedall subs proved size-two-01, eq, size-zero, size-zero-02, in-04, ne, size-one-01, one-in, size-one-02, In-insert, Size-insert, indef, ne-02, ne-01, selsize,
subsize-eqprovedall subs proved size-exgr, In-insert, Size-insert, indef, Subset, ne-02, ne-01, sub-in, Extension,
subsetprovedall subs proved Subset, sub-idem, eq, ne-02, ne-01, sub-insert, sub-add-01, add-01, In-insert,
sizesublprovedall subs proved In-insert, sub-in, size-exgr, Size-insert, indef, ne-02, ne-01,
sub-sizeprovedall subs proved ne-01, sub-in, size-exgr,
size-one-03provedall subs proved size-one, size-one-01,
size-two-01provedall subs proved Size-insert, in-04, eq, size-one-01, add-01,
sub-twoprovedall subs proved sub-add-03, in-04, sub-one-02, add-01,
size-two-04provedall subs proved in-04, size-one-01, size-exgr, ne-02, ne-01,
size-two-02provedall subs proved Size-insert, size-one-01, add-01, in-04,
size-threeprovedall subs proved In-insert, Size-insert, size-exgr, size-one-01, in-04, two-01, ne-02, ne-01, selsize,
addthreeprovedall subs proved In-insert, eq-03,
ins-twoprovedall subs proved In-insert, eq-03,
add-01provedall subs proved In-insert, eq-03,
one-inprovedall subs proved Size-empty, size-zero-02, Size-insert, indef, In-empty, eq, ne-02, ne-01, size-one-02,
size-exgrprovedall subs proved in-02, indef, eq, ne-02, ne-01, In-insert, Size-insert, ne, eq-03, size-zero-01, size-zero, In-empty, Size-empty, gen,
size-oneprovedall subs proved alle, Size-empty, size-zero-02, In-insert, Size-insert, indef, ne-02, ne-01, size-one-02, In-empty, sel, in-04, Extension,
size-two-03provedall subs proved eq-03, size-zero-01, Size-insert, ne-02, ne-01, eq, ne, size-zero, In-insert, Size-empty, gen,
size-three-01provedall subs proved size-zero-02, Size-insert, In-insert, indef, ne-02, ne-01,
eq-02provedall subs proved ne-02, ne-01, In-empty, in-04, In-insert, Extension,
two-01provedall subs proved ne-02, ne-01, in-04, Extension,
indefprovedall subs proved del, ne-02, ne-01, In-insert, Extension,
eq-03provedall subs proved eq, in, in-03, Extension,
twoprovedall subs proved eq-04, in-04, In-insert, Extension,
sub-one-01provedall subs proved ne-02, ne-01, In-empty, Subset, in-04, Extension,
oneprovedall subs proved ne-02, ne-01, in-04, In-empty, Extension,
in-06provedall subs proved in-04,
eqtwo-01provedall subs proved in-04, In-insert, Extension,
eqtwoprovedall subs proved in-04, In-insert, Extension,
sub-insertprovedall subs proved sub-add-01, ne-02, ne-01, In-insert, Subset, sub-idem, sub-ntrans, eq,
sub-one-02provedall subs proved sub-e, sub-add-03,
size-zero-01provedall subs proved size-zero-02,
size-one-02provedall subs proved In-empty, size-zero-02, Size-insert, eq, In-insert, Size-empty, gen, ne-02, ne-01,
delprovedall subs proved in-02, eq-04, eq-01, eq, In-insert, In-empty, gen, ne-02, ne-01,
in-03provedall subs proved add, in-02,
in-04provedall subs proved add, In-empty, in-02,
subset-insert-sameprovedall subs proved In-insert, sub-add-03, sub-add-02,
subset-insprovedall subs proved In-insert, sub-add-03, sub-add-02,
sub-insert-01provedall subs proved sub-add-01, sub-ntrans,
size-two-06provedall subs proved Size-empty, size-zero-02, Size-insert, size-less-01, In-insert, In-empty, gen, ne-02, ne-01,
eq-subsetprovedall subs proved sub-idem, subset-equal,
sub-add-02provedall subs proved ne-02, ne-01, In-insert, Subset,
sub-add-03provedall subs proved ne-02, ne-01, sub-add, In-insert, Subset,
sub-ntransprovedall subs proved ne-02, ne-01, Subset,
sub-inprovedall subs proved ne-02, ne-01, Subset,
selprovedall subs proved ne-02, ne-01, In-empty, Extension,
size-zero-02provedall subs proved Size-insert, eq, size-zero, size-one-01, ne, gen,
subset-equalprovedall subs proved ne-02, ne-01, Extension, Subset,
in-02provedall subs proved in, In-insert,
sub-transprovedall subs proved ne-02, ne-01, Subset,
sub-ntrans-01provedall subs proved ne-02, ne-01, Subset,
sub-add-04provedall subs proved ne-02, ne-01, In-insert, Subset,
one-sizeprovedall subs proved size-one-01,
size-less-01provedall subs proved Size-insert, eq,
selsizeprovedall subs proved In-empty, Extension, size-zero,
size-one-01provedall subs proved Size-insert, In-empty, Size-empty, eq,
inprovedall subs proved add,
ne-02provedall subs proved ne-01, In-empty, Extension,
swprovedall subs proved eq-04,
size-lessprovedall subs proved Size-insert, eq,
size-insprovedall subs proved Size-insert, eq,
in-01provedall subs proved add,
eq-06provedall subs proved eq-04,
eq-05provedall subs proved eq-04,
addtwoprovedall subs proved In-insert, Extension,
sub-eprovedall subs proved In-empty, Subset,
sub-add-01provedall subs proved In-insert, Subset,
sub-addprovedall subs proved In-insert, Subset,
alleprovedall subs proved In-empty, Extension,
neprovedall subs proved In-insert, In-empty, Extension,
size-zeroprovedall subs proved Size-empty,
addprovedall subs proved In-insert,
sub-idemprovedall subs proved Subset,
ne-01provedall subs proved In-empty,
eqprovedall subs proved In-insert, Extension,
eq-01provedall subs proved In-insert, Extension,
eq-04provedall subs proved In-insert, Extension,
sw-01provedall subs proved In-insert, Extension,
subset-insert-06provedall subs proved In-insert, Subset,
subset-insert-05provedall subs proved In-insert, Subset,
subset-insert-04provedall subs proved In-insert, Subset,
subset-insert-03provedall subs proved In-insert, Subset,
subset-emptyprovedall subs proved Extension, In-empty, Subset,
size-zero-03provedall subs proved Size-empty,
in-05provedall subs proved In-insert, Extension,
ext-recprovedall subs proved Extension, In-insert,
Subsetaxiom
Size-insertaxiom
Size-emptyaxiom
genaxiom
In-emptyaxiom
Extensionaxiom
In-insertaxiom