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: |
|---|---|---|---|
| lookup-rem-inj-range-inter-empty | proved | all subs proved | lookup-keys, |
| lookup-range-rem-union | proved | all subs proved | lookup-keys, |
| lookup-in-range | proved | all subs proved | lookup-keys, |
| lookup-keys | axiom |