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: |
|---|---|---|---|
| ltwo-03 | proved | all subs proved | pot-mon, ltwo-05, lls, two-pot-zero, add, pot2-def, lemma-ax2, Log2def, |
| lsucc-01 | proved | all subs proved | ltwo-05, lls, two-pot-zero, add, pot2-def, lemma-ax2, Log2def, |
| ltwo-05 | proved | all subs proved | lls-01, succ-02, |
| lpot | proved | all subs proved | zero, lemma-ax2, potmonleq, Log2def, |
| ladd-01 | proved | all subs proved | ladd, |
| lls-01 | proved | all subs proved | Log2def, potmon, zero, potex, lemma-ax2, |
| lls | proved | all subs proved | Log2def, potmon, lemma-ax2, potex, zero, |
| potmonleq | proved | all subs proved | potmon, |
| ladd | proved | all subs proved | lls-02, |
| power-of-2-01 | proved | all subs proved | 2-pot-mod-01, |
| power-of-2 | proved | all subs proved | 2-pot-mod-01, |
| lzer | proved | all subs proved | Pot2-zero, Log2def, zero, lemma-ax2, potex, lone, |
| 2-pot-mod-01 | proved | all subs proved | 2-pot-mod, |
| lone | proved | all subs proved | one-01, Pot2-zero, Log2def, |
| potmon | proved | all subs proved | pot-mon, pot2-def, |
| lls-02 | proved | all subs proved | Log2def, pot-mon, two-pot-zero, pot2-def, potex, |
| pot2-add | proved | all subs proved | add, pot2-def, |
| ltwo-04 | proved | all subs proved | pot2-def, one-01, Log2def, |
| inj-02 | proved | all subs proved | lemma-ax2, inj, |
| one-01 | proved | all subs proved | Pot2-zero, pot-01, |
| pot2-def | proved | all subs proved | add, lemma-ax2, Pot2-zero, |
| two-pot-zero | proved | all subs proved | pot-zero, |
| pot-mon | proved | all subs proved | rec-01, pot-zero, Pot-zero, |
| potex | proved | all subs proved | Pot2-zero, zero, lemma-ax2, |
| inj | proved | all subs proved | lemma-ax2, one, Pot2-zero, |
| 2-pot-mod | proved | all subs proved | add, |
| two | proved | all subs proved | add, |
| pot-zero-01 | proved | all subs proved | zero-01, |
| zero-01 | proved | all subs proved | rec-01, |
| pot-zero | proved | all subs proved | rec-01, Pot-zero, |
| pot-01 | proved | all subs proved | lemma-ax2, |
| succ-02 | proved | all subs proved | lemma-ax2, |
| zero | proved | all subs proved | lemma-ax2, Pot2-zero, |
| one | proved | all subs proved | lemma-ax2, Pot2-zero, |
| add | proved | all subs proved | rec-01, Pot-zero, |
| succ-03 | proved | all subs proved | lemma-ax2, Pot2-zero, |
| rec | proved | all subs proved | lemma-ax2, |
| pot-two | proved | all subs proved | one-01-01, rec-01, |
| mult | proved | all subs proved | rec-01, Pot-zero, |
| one-01-01 | proved | all subs proved | Pot-zero, Pot-succ, |
| lemma-ax2 | proved | all subs proved | Pot2-succ, |
| rec-01 | proved | all subs proved | Pot-succ, |
| Pot-succ | axiom | ||
| Log2def | axiom | ||
| Pot2-succ | axiom | ||
| Pot2-zero | axiom | ||
| Pot-zero | axiom |