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: |
|---|---|---|---|
| ebm-order-write-same | proved | all subs proved | ebm-le, |
| ebm-order-trans | proved | all subs proved | ebm-le, |
| ebm-order-refl | proved | all subs proved | ebm-le, |
| ebm-order-in-avol-left | proved | all subs proved | ebm-le, |
| ebm-order-antisym | proved | all subs proved | ebm-le, |
| ebm-initial-imp-cons | proved | all subs proved | valid-leb-def, ebm-cons, ebm-cons-def, ebm-initial, |
| ebm-cons-write | proved | all subs proved | valid-leb-def, ebm-cons, ebm-cons-def, |
| ebm-cons-leb-size-le | proved | all subs proved | valid-leb-def, ebm-cons, ebm-cons-def, |
| ebm-cons-leb-size | proved | all subs proved | valid-leb-def, ebm-cons, ebm-cons-def, |
| ebm-le | axiom | ||
| ebm-initial | axiom | ||
| ebm-cons-def | axiom | ||
| ebm-cons | axiom | ||
| valid-leb-def | axiom |