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: |
|---|---|---|---|
| butmin-put-02 | proved | all subs proved | butmin-put-01, |
| butmin-put-01 | proved | all subs proved | insert-03, min-def, min-put-01, Butmin, |
| butmin-rewput | proved | all subs proved | min-put, Min-in, min-def, min, Keys, inf, Min-min, Butmin, |
| butmin-put-rew | proved | all subs proved | Keys, inf, Min-min, Min-in, min-put-ls, min-def, Butmin, |
| butmin-put | proved | all subs proved | mk-in, min-def, min, Butmin, |
| butmin-one | proved | all subs proved | min, Butmin, |
| min-put | proved | all subs proved | empty, inf, Min-min, Keys, notempty, insert-03, min-def, |
| min-put-ls | proved | all subs proved | empty-01, insert-03, Keys, inf, Min-min, Min-in, min-def, |
| min-put-01 | proved | all subs proved | insert-03, min-def, |
| min | proved | all subs proved | empty, insert-03, min-def, |
| min-in | proved | all subs proved | mk-in, min-def, |
| butmin-size-01 | proved | all subs proved | Min-in, min-def, Butmin, |
| butmin-size | proved | all subs proved | Min-in, min-def, Butmin, |
| butmin-in | proved | all subs proved | Keys, inf, Min-min, min-def, Butmin, |
| butmin-id | proved | all subs proved | mk-in, min-def, Butmin, |
| min-def | proved | all subs proved | inkeys-01, mk-in, Keys, inf, Min-min, Min-in, |
| mk-in | proved | all subs proved | inkeys, empty-01, Keys, inf, Min-min, Min-in, |
| empty-01 | proved | all subs proved | empty-02, Min-in, |
| empty-02 | proved | all subs proved | notempty, inf, Min-min, |
| size-del-02 | proved | all subs proved | inkeys-01, del-01, Keys, inf, Min-min, |
| size-del-01 | proved | all subs proved | del-01, |
| size-del | proved | all subs proved | notempty, inf, Min-min, Keys, del-01, |
| del-01 | proved | all subs proved | inkeys-01, del, inf, Min-min, Keys, |
| notempty | proved | all subs proved | inkeys, inf, Min-min, Keys, |
| neq | proved | all subs proved | Keys, insert-03, insert, |
| inf-01 | proved | all subs proved | inf, Min-min, Keys, |
| insert | proved | all subs proved | inkeys-01, insert-03, |
| inkeys | proved | all subs proved | Keys, inkeys-01, |
| inf | proved | all subs proved | inkeys-01, |
| k-keys-rec | proved | all subs proved | insert-03, |
| empty | proved | all subs proved | Keys, |
| del | proved | all subs proved | Keys, |
| inkeys-01 | proved | all subs proved | Keys, |
| insert-03 | proved | all subs proved | Keys, |
| sub | proved | all subs proved | Keys, |
| butmin-notin | proved | all subs proved | Butmin, |
| butmin-empty | proved | all subs proved | Butmin, |
| butmin-at | proved | all subs proved | Butmin, |
| Min-in | axiom | ||
| Min-min | axiom | ||
| Keys | axiom | ||
| Butmin | axiom |