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: |
|---|---|---|---|
| union-rem-unchdg | proved | all subs proved | unc, una, Delete, unrax, unindel, ext, unin, del-in-03, undel-03, |
| union-del | proved | all subs proved | unc, una, unrax, undel, Delete, undel-03, |
| undel-03 | proved | all subs proved | unc, una, undel-01, |
| union-subset-01 | proved | all subs proved | unc, una, unrax, subset-union-left-rem, |
| union-difference | proved | all subs proved | unc, una, Difference, unrax, diff-union-01, |
| union-diff-union-same | proved | all subs proved | unin, unc, una, union-diff, unrax, Difference, ext, |
| union-sub | proved | all subs proved | unc, una, union-sub-01, |
| union-subset | proved | all subs proved | unc, una, unrax, subset-union-left-rem, |
| undel-01 | proved | all subs proved | unc, una, unrax, Delete, del-in-03, undel, |
| union-sub-01 | proved | all subs proved | unc, una, uneq, |
| union-diff | proved | all subs proved | Difference, unc, una, unrax, |
| diff-union-01 | proved | all subs proved | Difference, unc, una, unrax, |
| subset-union-left-rem | proved | all subs proved | unc, una, unrax, |
| diff-union-03 | proved | all subs proved | Difference, unc, una, unrax, |
| union-rem-add | proved | all subs proved | unc, una, Delete, unrax, unindel, ext, |
| union-sub-rem-inter-empty | proved | all subs proved | Difference, unc, una, unrax, int-c, int-a, Intersect, ext, |
| sub-union-05 | proved | all subs proved | unc, una, unrax, |
| union-subset-04 | proved | all subs proved | unc, una, unrax, |
| diff-union-02 | proved | all subs proved | Difference, unc, una, unrax, |
| union-one | proved | all subs proved | unc, una, une, unadd, One, |
| intu-empty | proved | all subs proved | unc, una, unrax, int-c, int-a, Intersect, |
| sub-union-02 | proved | all subs proved | unc, una, unrax, |
| diff-union | proved | all subs proved | Difference, unc, una, unrax, |
| union-subset-03 | proved | all subs proved | unc, una, unrax, |
| k-union-rec2 | proved | all subs proved | ext, unc, una, unadd, |
| rem-union-ins | proved | all subs proved | unc, una, Delete, unrax, ext, |
| diff-int-01 | proved | all subs proved | unc, una, unrax, Difference, int-c, int-a, Intersect, |
| sub-union-04 | proved | all subs proved | unc, una, unrax, |
| union-inter-inter-union | proved | all subs proved | int-c, int-a, unc, una, unrax, Intersect, ext, |
| unsubdel | proved | all subs proved | unc, una, unrax, Delete, undel-04, |
| subset-is-union | proved | all subs proved | Difference, int-c, int-a, Intersect, ext, unc, una, unrax, |
| sub-union-01 | proved | all subs proved | unc, una, unrax, |
| sub-union | proved | all subs proved | unc, una, unrax, |
| union-subset-02 | proved | all subs proved | unc, una, unrax, |
| union-rewone | proved | all subs proved | unc, una, une, unadd, One, |
| union-subset-05 | proved | all subs proved | unc, una, unrax, |
| k-union-rec1 | proved | all subs proved | ext, unc, una, uninsert, unadd, |
| diff-subset | proved | all subs proved | unc, una, unrax, Difference, |
| k-union-base | proved | all subs proved | ext, unc, una, une, |
| diff-supset-empty | proved | all subs proved | unc, una, unrax, Difference, ext, |
| sub-union-03 | proved | all subs proved | unc, una, unrax, |
| undel-04 | proved | all subs proved | una, Delete, unrax, |
| undel | proved | all subs proved | una, Delete, unrax, |
| unadd | proved | all subs proved | una, unrax, |
| une | proved | all subs proved | una, unrax, |
| uneq | proved | all subs proved | una, unrax, |
| unc | proved | all subs proved | una, unrax, |
| unsubsub | proved | all subs proved | una, unrax, |
| undel-02 | proved | all subs proved | una, unrax, Delete, |
| unsubins | proved | all subs proved | una, unrax, |
| unall | proved | all subs proved | una, unrax, |
| unsubins-01 | proved | all subs proved | una, unrax, |
| unsub | proved | all subs proved | una, unrax, |
| unsubdel-01 | proved | all subs proved | una, Delete, unrax, |
| unadd-01 | proved | all subs proved | una, unrax, |
| undel-06 | proved | all subs proved | una, Delete, unrax, |
| int-empty-one | proved | all subs proved | int-c, int-a, ext, int-e, int-ins, int-inserte, |
| unsub-union-01 | proved | all subs proved | una, unrax, |
| unidem | proved | all subs proved | una, unrax, |
| une-01 | proved | all subs proved | una, unrax, |
| int-ins | proved | all subs proved | int-c, int-a, Intersect, |
| unindel | proved | all subs proved | Delete, unrax, |
| una | proved | all subs proved | unrax, |
| k-intersect-rec2 | proved | all subs proved | int-c, int-a, Intersect, Delete, ext, |
| sub-rem-inter-rem | proved | all subs proved | Difference, int-c, int-a, Intersect, Delete, ext, |
| int-notempty | proved | all subs proved | int-c, int-a, Intersect, int-inserte, |
| diff-int | proved | all subs proved | Difference, int-c, int-a, Intersect, |
| int-empty-02 | proved | all subs proved | int-c, int-a, Intersect, |
| intdel-empty | proved | all subs proved | Delete, int-c, int-a, Intersect, |
| subseteq-inter-empty-empty | proved | all subs proved | int-c, int-a, Intersect, ext, |
| inter-empty-diff | proved | all subs proved | Difference, int-c, int-a, Intersect, ext, |
| intersect-empty-rem | proved | all subs proved | int-c, int-a, Delete, Intersect, ext, |
| int-notempty-01 | proved | all subs proved | Delete, int-c, int-a, Intersect, int-inserte, |
| empty-intersection-diff | proved | all subs proved | Difference, ext, int-c, int-a, Intersect, |
| k-intersect-rec1 | proved | all subs proved | int-c, int-a, Intersect, Delete, ext, |
| int-subs01 | proved | all subs proved | int-c, int-a, Intersect, |
| diff-add-del-01 | proved | all subs proved | Difference, del-in-03, diff-add-del, |
| int-del-rew | proved | all subs proved | int-c, int-a, Delete, Intersect, |
| k-intersect-base | proved | all subs proved | ext, int-c, int-a, int-e, |
| k-diff-rec2 | proved | all subs proved | ext, diff-del-minus-3, diff-del-minus, |
| intersect-add-rem | proved | all subs proved | int-c, int-a, Delete, Intersect, ext, |
| int-empty-01 | proved | all subs proved | int-c, int-a, Intersect, |
| uninsubdel | proved | all subs proved | Delete, unrax, |
| rem-inter-empty3 | proved | all subs proved | Difference, int-c, int-a, Intersect, ext, |
| intersection-insert | proved | all subs proved | int-c, int-a, Intersect, ext, |
| intersection-shift | proved | all subs proved | int-c, int-a, Intersect, ext, |
| add-inter-rem | proved | all subs proved | int-c, int-a, Intersect, Delete, ext, |
| uninsert | proved | all subs proved | unin-01, |
| diff-del-minus-3 | proved | all subs proved | del-in, Difference, Delete, ext, |
| int-e | proved | all subs proved | int-a, Intersect, |
| del-in-03 | proved | all subs proved | del-in, Delete, |
| int-inserte | proved | all subs proved | int-a, Intersect, |
| unrax | proved | all subs proved | unin-01, unin, |
| int-c | proved | all subs proved | int-a, Intersect, |
| undel-05 | proved | all subs proved | del-in, |
| intexin | proved | all subs proved | int-a, Intersect, |
| int-empty | proved | all subs proved | int-a, Intersect, |
| del-addeq-02 | proved | all subs proved | Delete, del-addin-01, |
| int-eq | proved | all subs proved | int-a, Intersect, |
| indef | proved | all subs proved | Delete, delete-insert, |
| one-min | proved | all subs proved | del-e-01, del-addeq-05, |
| subset-del | proved | all subs proved | del-in, Delete, |
| del-addin | proved | all subs proved | del-addin-01, |
| diff-del-minus-2 | proved | all subs proved | del-in, del-in-01, Difference, Delete, ext, |
| del | proved | all subs proved | Delete, delete-insert, |
| int-idem | proved | all subs proved | int-a, Intersect, |
| int-inse | proved | all subs proved | int-a, Intersect, |
| del-in-01 | proved | all subs proved | Delete, |
| del-addeq-05 | proved | all subs proved | Delete, |
| del-e-01 | proved | all subs proved | Delete, |
| delete-insert | proved | all subs proved | Delete, |
| unin-01 | proved | all subs proved | Union, |
| diff-del-minus | proved | all subs proved | Delete, Difference, ext, |
| diff-add-del | proved | all subs proved | Difference, Delete, |
| del-addin-01 | proved | all subs proved | Delete, |
| unin | proved | all subs proved | Union, |
| del-in | proved | all subs proved | Delete, |
| int-a | proved | all subs proved | Intersect, |
| diff-subset-01 | proved | all subs proved | Difference, Delete, |
| sub-ade-01 | proved | all subs proved | Delete, |
| diff-diff-right | proved | all subs proved | Difference, |
| delete-subset | proved | all subs proved | Delete, |
| del-addeq-03 | proved | all subs proved | Delete, |
| del-addeq-06 | proved | all subs proved | Delete, ext, |
| selsub-diff | proved | all subs proved | Difference, |
| del-e | proved | all subs proved | Delete, |
| diff-one | proved | all subs proved | Difference, |
| add-rem-sub | proved | all subs proved | Delete, Difference, ext, |
| del-notin | proved | all subs proved | Delete, |
| diff-sub | proved | all subs proved | Difference, |
| sub-del | proved | all subs proved | Delete, |
| diff-del-plus-2 | proved | all subs proved | Difference, ext, |
| diff-nin | proved | all subs proved | Difference, |
| del-eq | proved | all subs proved | Delete, |
| sub-del-01 | proved | all subs proved | Delete, |
| sub-ade-03 | proved | all subs proved | Delete, |
| del-addeq | proved | all subs proved | Delete, |
| sub-del-04 | proved | all subs proved | Delete, |
| del-two | proved | all subs proved | Delete, |
| diff-del-01 | proved | all subs proved | Difference, Delete, |
| del-neq-01 | proved | all subs proved | Delete, |
| del-in-02 | proved | all subs proved | Delete, |
| delete-shift | proved | all subs proved | ext, Delete, |
| diff-e | proved | all subs proved | Difference, |
| delsw-02 | proved | all subs proved | Delete, |
| delsw | proved | all subs proved | Delete, |
| del-feq-02 | proved | all subs proved | Delete, |
| del-d | proved | all subs proved | Delete, |
| one-in | proved | all subs proved | One, |
| diff-rc | proved | all subs proved | Difference, |
| diff-del-plus-1 | proved | all subs proved | Difference, ext, |
| delsw-suc | proved | all subs proved | Delete, ext, |
| diff-idem | proved | all subs proved | Difference, |
| delsw-01 | proved | all subs proved | Delete, |
| del-del-one | proved | all subs proved | Delete, |
| sub-del-03 | proved | all subs proved | Delete, |
| sub-ade-02 | proved | all subs proved | Delete, |
| diff-empty | proved | all subs proved | Difference, |
| insdel-sub | proved | all subs proved | Delete, |
| equal-add-in | proved | all subs proved | Delete, ext, |
| del-addeq-04 | proved | all subs proved | Delete, |
| diff-e-01 | proved | all subs proved | Difference, |
| del-addeq-01 | proved | all subs proved | Delete, |
| del-d-01 | proved | all subs proved | Delete, |
| k-diff-rec1 | proved | all subs proved | Delete, Difference, ext, |
| diff-del | proved | all subs proved | Delete, Difference, |
| sub-ade | proved | all subs proved | Delete, |
| del-feq-01 | proved | all subs proved | Delete, |
| sub-del-02 | proved | all subs proved | Delete, |
| subsub-del | proved | all subs proved | Delete, |
| sub-del-05 | proved | all subs proved | Delete, |
| del-e-02 | proved | all subs proved | Delete, |
| diff-del-02 | proved | all subs proved | Difference, Delete, |
| del-neq-02 | proved | all subs proved | Delete, |
| del-feq | proved | all subs proved | Delete, |
| k-delete-rec | proved | all subs proved | Delete, ext, |
| subseteq-rem-del | proved | all subs proved | Difference, Delete, ext, |
| One | axiom | ||
| Union | axiom | ||
| ext | proved | all subs proved | |
| Intersect | axiom | ||
| Delete | axiom | ||
| Difference | axiom |