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: |
|---|---|---|---|
| RED-iff-reduce | proved | all subs proved | RED-complete, RED-correct, |
| RED-complete | proved | all subs proved | RED1-lem, decl-03, |
| RED-correct | proved | all subs proved | kappa-RED1, RED1-lem, decl-03, |
| kappa-RED1 | proved | all subs proved | decl-04, kappa-TOPRED, decl-01, |
| RED1-lem | proved | all subs proved | TOPRED-lem, decl-01, |
| ks-RED | proved | all subs proved | ks-RED1, decl-04, decl-01, decl-03, |
| termination-RED | proved | all subs proved | termination-RED1, decl-03, |
| TOPRED-lem | proved | all subs proved | decl-04, |
| kappa-TOPRED | proved | all subs proved | decl-04, |
| ks-RED1 | proved | all subs proved | decl-04, decl-01, |
| termination-RED1 | proved | all subs proved | decl-04, decl-01, |
| termination-TOPRED | proved | all subs proved | decl-04, |
| ks-TOPRED | proved | all subs proved | decl-04, |
| SII-loops | proved | all subs proved | decl-04, decl-01, decl-03, I-def, SII-def, |
| SII-def | axiom | ||
| I-def | axiom | ||
| decl-04 | axiom | ||
| decl-01 | axiom | ||
| decl-03 | axiom |