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: |
|---|---|---|---|
| ozero | proved | all subs proved | odd, |
| odd | proved | all subs proved | oone, Even, Odd, |
| oone | proved | all subs proved | one, oe, |
| odd-mult | proved | all subs proved | meven-02, oe-02, oe, pot2-even-02, div2-elim, Even, Odd, |
| odd-add | proved | all subs proved | meven-02, oe-02, oe, pot2-even-02, div2-elim, Even, Odd, |
| modd-02 | proved | all subs proved | meven-02, oe-02, |
| even-add | proved | all subs proved | meven-02, oe-02, pot2-odd-02, oe, div2-elim, Odd, Even, |
| oe | proved | all subs proved | oe-01, meven-02, Even, Odd, |
| oe-02 | proved | all subs proved | modd-03, meven-02, Even, eo-02, Odd, |
| min-zero1 | proved | all subs proved | min-c, min-a, min-zero2, |
| min-ls-self1 | proved | all subs proved | min-c, min-a, min-ls-self2, |
| div2-even | proved | all subs proved | meven-02, Even, pot2-even-02, |
| min-zero2 | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| min-ls-self2 | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| div2-elim | proved | all subs proved | oe-01, Odd, pot2-odd-02, |
| meven-02 | proved | all subs proved | modd-03, eo-01, |
| min-neq2 | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| min-neq1 | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| min-ls-both | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| min-i | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| min-distr | proved | all subs proved | Min-right, min-c, min-a, Min-left, |
| meven-03 | proved | all subs proved | modd-03, eo-02, |
| max-i | proved | all subs proved | Max-right, max-c, max-a, Max-left, |
| max-distr | proved | all subs proved | Max-right, max-c, max-a, Max-left, |
| div2-odd | proved | all subs proved | Even, Odd, pot2-odd-02, |
| min-c | proved | all subs proved | Min-right, min-a, Min-left, |
| eo-02 | proved | all subs proved | oex, Even, |
| modd-03 | proved | all subs proved | oex, |
| max-c | proved | all subs proved | Max-right, max-a, Max-left, |
| pot2-odd-02 | proved | all subs proved | oex, |
| zero-02 | proved | all subs proved | zero, Even, |
| zero-01 | proved | all subs proved | zero, Even, |
| otwo-03 | proved | all subs proved | oe-01, Odd, oex, |
| otwo-02 | proved | all subs proved | Even, two-02, Odd, |
| odd-div2 | proved | all subs proved | oex, |
| even-mult | proved | all subs proved | oex, eo-01, Even, |
| div2-odd-01 | proved | all subs proved | Odd, Even, pot2-even-02, |
| zero | proved | all subs proved | Even, |
| two-02 | proved | all subs proved | Even, |
| one | proved | all subs proved | Even, |
| min-a | proved | all subs proved | Min-right, Min-left, |
| max-a | proved | all subs proved | Max-right, Max-left, |
| eo-01 | proved | all subs proved | Odd, Even, |
| oex | proved | all subs proved | Even, Odd, |
| pot2-even-02 | proved | all subs proved | Even, |
| oe-01 | proved | all subs proved | Odd, Even, |
| two-03 | proved | all subs proved | Even, |
| plus | proved | all subs proved | Even, |
| even-div2 | proved | all subs proved | Even, |
| eo | proved | all subs proved | Even, Odd, |
| div2-elim-01 | proved | all subs proved | Even, |
| Min-left | axiom | ||
| Min-right | axiom | ||
| Max-left | axiom | ||
| Max-right | axiom | ||
| Even | axiom | ||
| Odd | axiom |