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: |
|---|---|---|---|
| weakbwsim-implies-bwsiminv | proved | all subs proved | weakbwsim-implies-bwsiminv-aux, backwardsiminv-def, weakbackwardsim-def, |
| weakbwsim-implies-bwsiminv-aux | proved | all subs proved | weak-lemma_3-15, proofobls-weakbackwardsim, proofobls-backwardsiminv, |
| bwsim-bwsiminv | proved | all subs proved | bwsim-bwsiminv-aux, backwardsiminv-def, backwardsim-def, |
| bwsiminv-implies-weakbwsim | proved | all subs proved | bwsiminv-implies-weakbwsim-aux, weakbackwardsim-def, backwardsiminv-def, |
| bwsiminv-implies-weakbwsim-aux | proved | all subs proved | proofobls-backwardsiminv, proofobls-weakbackwardsim, |
| weak-lemma_3-15 | proved | all subs proved | proofobls-weakbackwardsim, |
| bwsim-bwsiminv-aux | proved | all subs proved | proofobls-backwardsiminv, proofobls-backwardsim, |
| lemma_3-15 | proved | all subs proved | proofobls-backwardsiminv, |
| weakbackwardsim-def | axiom | ||
| proofobls-backwardsim | axiom | ||
| proofobls-weakbackwardsim | axiom | ||
| proofobls-backwardsiminv | axiom | ||
| backwardsim-def | axiom | ||
| backwardsiminv-def | axiom |