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: |
|---|---|---|---|
| lexicographic-total | proved | all subs proved | array-exists-first-neq, lexicographic, |
| array-exists-first-neq | proved | all subs proved | ls-at-subarray, |
| suffix-same | proved | all subs proved | ls-at-subarray, suffix, |
| suffix-end | proved | all subs proved | suffix, |
| lexicographic-trans | proved | all subs proved | ls-at-subarray, lexicographic, |
| lexicographic-suffix-next | proved | all subs proved | ls-at-subarray, lexicographic, suffix, |
| lexicographic-irrefl | proved | all subs proved | lexicographic, |
| lexicographic-emparray | proved | all subs proved | lexicographic, |
| suffix | axiom | ||
| lexicographic | axiom | ||
| ls-at-subarray | proved | all subs proved |