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: |
|---|
| mult-assoc | proved | all subs proved
| sum-multr,
sum-multl,
sum-red,
sum-switch,
multmx-get,
multmx-colno,
multmx-rowno,
|
| sum-switch | proved | all subs proved
| sum-add,
sum-rec,
sum-base,
|
| distrmxvecvec | proved | all subs proved
| sum-red,
sum-add,
addmvec-get,
multmxvec-get,
multmxvec-size,
addvec-size,
|
| distrmxmxvec | proved | all subs proved
| addmx-get,
sum-red,
sum-add,
addmvec-get,
multmxvec-get,
addmx-rowno,
addmx-colno,
multmxvec-size,
addvec-size,
|
| distrvecmxmx | proved | all subs proved
| addmx-get,
sum-red,
sum-add,
addmvec-get,
multvecmx-get,
addmx-colno,
addmx-rowno,
multvecmx-size,
addvec-size,
|
| singletonmxvec-get | proved | all subs proved
| singletonmxvec-get-sum-aux,
multmxvec-get,
|
| distrvevecmx | proved | all subs proved
| sum-red,
sum-add,
addmvec-get,
multvecmx-get,
multvecmx-size,
addvec-size,
|
| distrmxmx-l | proved | all subs proved
| sum-red,
sum-add,
addmx-get,
multmx-get,
multmx-colno,
addmx-colno,
multmx-rowno,
addmx-rowno,
|
| distrmxmx-r | proved | all subs proved
| sum-red,
sum-add,
addmx-get,
multmx-get,
multmx-colno,
multmx-rowno,
addmx-colno,
addmx-rowno,
|
| singletonmxvec-get-sum-aux | proved | all subs proved
| sum-rec,
sum-base,
|
| sum-multl | proved | all subs proved
| sum-rec,
sum-base,
|
| sum-multr | proved | all subs proved
| sum-rec,
sum-base,
|
| sum-add | proved | all subs proved
| sum-rec,
sum-base,
|
| sum-red | proved | all subs proved
| sum-rec,
sum-base,
|
| multmx-column | proved | all subs proved
| multmxvec-get,
multmx-get,
multmx-rowno,
multmxvec-size,
|
| addmx-assoc | proved | all subs proved
| addmx-get,
addmx-colno,
addmx-rowno,
|
| addvec-com | proved | all subs proved
| addmvec-get,
addvec-size,
|
| addvec-assoc | proved | all subs proved
| addmvec-get,
addvec-size,
|
| multmx-row | proved | all subs proved
| multvecmx-get,
multvecmx-size,
multmx-get,
multmx-colno,
|
| sum-union | proved | all subs proved
| sum-rec,
sum-base,
|
| addmx-com | proved | all subs proved
| addmx-get,
addmx-colno,
addmx-rowno,
|
| multvecmx-size | axiom | | |
| multvecmx-get | axiom | | |
| multmx-colno | axiom | | |
| addvec-size | axiom | | |
| addmvec-get | axiom | | |
| addmx-rowno | axiom | | |
| addmx-colno | axiom | | |
| addmx-get | axiom | | |
| sum-base | axiom | | |
| sum-rec | axiom | | |
| multmxvec-size | axiom | | |
| multmx-rowno | axiom | | |
| multmx-get | axiom | | |
| multmxvec-get | axiom | | |