[Imprint][Data Privacy Statement][E-Mail]

Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

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, subset-insert-01, sub-insert, addthree, addtwo, add-01, In-insert,
subset-insert-01provedall subs proved Subset, ins-two, eq, ne-02, ne-01, subset-insert, sub-insert, addthree, addtwo, add-01, In-insert,
size-two-05provedall subs proved size-two, In-insert, in-04,
subset-insertprovedall subs proved Subset, sub-idem, sub-add-01, ins-two, eq, ne-02, ne-01, subset, sub-insert, addtwo, 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,
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-eq-01provedall subs proved subsize-eq, sub-idem,
sub-oneprovedall subs proved Extension, In-empty, eq, in-04, size-one-03, size-zero, size-zero-01, Subset,
sub-sizeneqexprovedall subs proved sub-size, size-exgr,
sub-size-eqprovedall subs proved sizesubl, ne-02, ne-01, sub-in, Extension,
sizesublprovedall subs proved In-insert, sub-in, size-exgr, Size-insert, indef, ne-02, ne-01,
size-one-03provedall subs proved size-one, size-one-01,
subsize-eqprovedall subs proved size-exgr, In-insert, Size-insert, indef, Subset, ne-02, ne-01, sub-in, Extension,
size-two-01provedall subs proved Size-insert, in-04, eq, size-one-01, add-01,
subsetprovedall subs proved Subset, sub-idem, eq, ne-02, ne-01, sub-add-01, sub-insert, add-01, In-insert,
sub-sizeprovedall subs proved ne-01, sub-in, size-exgr,
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,
sub-twoprovedall subs proved in-04, sub-one-02, sub-add-03, add-01,
addthreeprovedall subs proved In-insert, eq-03,
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,
one-inprovedall subs proved Size-empty, size-zero-02, Size-insert, indef, In-empty, eq, ne-02, ne-01, size-one-02,
ins-twoprovedall subs proved In-insert, eq-03,
add-01provedall subs proved In-insert, eq-03,
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-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,
sub-insert-5provedall subs proved In-insert, sub-add-03, sub-insert-4, sw-01,
eq-02provedall subs proved ne-02, ne-01, In-empty, Extension, in-04, In-insert,
sub-insert-4provedall subs proved In-insert, sub-add-03, sub-insert-3, sw,
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 Extension, eq, in, in-03,
twoprovedall subs proved eq-04, in-04, In-insert, Extension,
in-06provedall subs proved in-04,
sub-one-01provedall subs proved ne-02, ne-01, in-04, Extension, In-empty, Subset,
oneprovedall subs proved ne-02, ne-01, In-empty, Extension, in-04,
eqtwoprovedall subs proved in-04, In-insert, Extension,
eqtwo-01provedall subs proved in-04, In-insert, Extension,
sub-insert-3provedall subs proved In-insert, sub-add-03, sub-add-02, sw,
sub-one-02provedall subs proved sub-e, sub-add-03,
sub-insertprovedall subs proved sub-add-01, ne-02, ne-01, In-insert, Subset, sub-idem, sub-ntrans, eq,
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 eq-01, in-02, eq-04, eq, In-insert, In-empty, gen, ne-02, ne-01,
size-zero-01provedall subs proved size-zero-02,
in-03provedall subs proved add, in-02,
in-04provedall subs proved add, In-empty, in-02,
size-two-06provedall subs proved Size-empty, size-zero-02, Size-insert, size-less-01, In-insert, In-empty, gen, ne-02, ne-01,
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,
eq-subsetprovedall subs proved subset-equal, sub-idem,
sub-insert-01provedall subs proved sub-add-01, sub-ntrans,
selprovedall subs proved ne-02, ne-01, In-empty, Extension,
subset-equalprovedall subs proved ne-02, ne-01, Subset, Extension,
sub-ntransprovedall subs proved ne-02, ne-01, Subset,
sub-inprovedall subs proved ne-02, ne-01, Subset,
sub-add-02provedall subs proved ne-02, ne-01, Subset, In-insert,
sub-add-03provedall subs proved ne-02, ne-01, Subset, sub-add, In-insert,
in-02provedall subs proved in, In-insert,
size-zero-02provedall subs proved Size-insert, eq, size-zero, size-one-01, ne, gen,
sub-ntrans-01provedall subs proved ne-02, ne-01, Subset,
one-sizeprovedall subs proved size-one-01,
sub-transprovedall subs proved ne-02, ne-01, Subset,
sub-add-04provedall subs proved ne-02, ne-01, In-insert, Subset,
swprovedall subs proved eq-04,
selsizeprovedall subs proved In-empty, Extension, size-zero,
size-less-01provedall subs proved Size-insert, eq,
size-one-01provedall subs proved Size-insert, In-empty, Size-empty, eq,
inprovedall subs proved add,
ne-02provedall subs proved In-empty, Extension, ne-01,
eq-06provedall subs proved eq-04,
eq-05provedall subs proved eq-04,
size-lessprovedall subs proved Size-insert, eq,
size-insprovedall subs proved Size-insert, eq,
in-01provedall subs proved add,
size-add-eqprovedall subs proved eq, Size-insert,
size-add-lessprovedall subs proved Size-insert, eq,
sub-addprovedall subs proved Subset, In-insert,
alleprovedall subs proved In-empty, Extension,
sw-01provedall subs proved In-insert, Extension,
sub-eprovedall subs proved In-empty, Subset,
addtwoprovedall subs proved In-insert, Extension,
sub-add-01provedall subs proved In-insert, Subset,
sub-idemprovedall subs proved Subset,
addprovedall subs proved In-insert,
eq-01provedall subs proved Extension, In-insert,
size-zeroprovedall subs proved Size-empty,
neprovedall subs proved In-empty, In-insert, Extension,
eqprovedall subs proved In-insert, Extension,
eq-04provedall subs proved In-insert, Extension,
ne-01provedall subs proved In-empty,
subset-emptyprovedall subs proved In-empty, Extension, Subset,
in-05provedall subs proved In-insert, Extension,
size-zero-03provedall subs proved Size-empty,
subset-insert-05provedall subs proved In-insert, Subset,
subset-insert-06provedall subs proved In-insert, Subset,
subset-insert-03provedall subs proved In-insert, Subset,
subset-insert-04provedall subs proved In-insert, Subset,
ext-recprovedall subs proved Extension, In-insert,
genaxiom
Size-emptyaxiom
Size-insertaxiom
Subsetaxiom
In-insertaxiom
Extensionaxiom
In-emptyaxiom