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: |
|---|
| lift-cont | proved | all subs proved
| pbd-def,
monl-equiv,
lift-inf,
monl-def,
lift-fin,
mon-def,
cont-def,
|
| cont-rel-thm | proved | all subs proved
| lift-pred-inf,
pfxclosed-def,
pfxclosedl-def,
lift-pred-fin,
mon-relative-def,
cont-relative-def,
cont-relative-thm,
|
| lifttr-cont | proved | all subs proved
| pbdtr-def,
montrl-equiv,
lifttr-inf,
montrl-def,
lifttr-fin,
montr-def,
conttr-def,
|
| conttr-rel-thm | proved | all subs proved
| lift-trp-inf,
pdfclosedtrl-def,
pdfclosedtr-def,
lift-trp-fin,
conttr-relative-thm,
montr-relative-def,
conttr-relative-def,
|
| conttr-relative-thm | proved | all subs proved
| fun-neq,
pdfclosedtr-def,
pbdtr-relative-def,
montr-relative-def,
conttr-relative-def,
twomon-limsize,
|
| montrl-equiv | proved | all subs proved
| montrl-def,
|
| cont-relative-thm | proved | all subs proved
| fun-neq,
pfxclosed-def,
pbd-relative-def,
mon-relative-def,
cont-relative-def,
|
| monl-equiv | proved | all subs proved
| monl-def,
|
| pfxclosed-lift | proved | all subs proved
| lift-pred-inf,
lift-pred-fin,
pfxclosedl-def,
pfxclosed-def,
|
| lifttr-pcont | proved | all subs proved
| pbdtr-relative-def,
lifttr-inf,
lift-trp-inf,
lifttr-fin,
lift-trp-fin,
montr-relative-def,
conttr-relative-def,
montrl-relative-def,
|
| conttr-thm | proved | all subs proved
| fun-neq,
pbdtr-def,
montr-def,
conttr-def,
twomon-limsize,
|
| cont-thm | proved | all subs proved
| fun-neq,
pbd-def,
mon-def,
cont-def,
|
| pcont-lifted | proved | all subs proved
| pbd-relative-def,
lift-pred-inf,
lift-inf,
lift-pred-fin,
lift-fin,
mon-relative-def,
cont-relative-def,
lifted-def,
monl-relative-def,
|
| lift-pcont | proved | all subs proved
| pbd-relative-def,
lift-inf,
lift-pred-inf,
lift-fin,
lift-pred-fin,
mon-relative-def,
cont-relative-def,
monl-relative-def,
|
| pfxclosed-lift-tr | proved | all subs proved
| lift-trp-inf,
lift-trp-fin,
pdfclosedtr-def,
pdfclosedtrl-def,
|
| pconttr-lifted | proved | all subs proved
| pbdtr-relative-def,
lift-trp-inf,
lifttr-inf,
lift-trp-fin,
lifttr-fin,
montr-relative-def,
conttr-relative-def,
liftedtr-def,
montrl-relative-def,
|
| liftedtr-def | axiom | | |
| pdfclosedtrl-def | axiom | | |
| pdfclosedtr-def | axiom | | |
| monl-relative-def | axiom | | |
| lifted-def | axiom | | |
| pbd-relative-def | axiom | | |
| cont-relative-def | axiom | | |
| mon-relative-def | axiom | | |
| twomon-limsize | proved | all subs proved
| |
| conttr-def | axiom | | |
| montr-def | axiom | | |
| pbdtr-def | axiom | | |
| fun-neq | proved | all subs proved
| |
| montrl-relative-def | axiom | | |
| conttr-relative-def | axiom | | |
| montr-relative-def | axiom | | |
| lift-trp-fin | axiom | | |
| lifttr-fin | axiom | | |
| lift-trp-inf | axiom | | |
| lifttr-inf | axiom | | |
| pbdtr-relative-def | axiom | | |
| cont-def | axiom | | |
| mon-def | axiom | | |
| lift-fin | axiom | | |
| monl-def | axiom | | |
| lift-inf | axiom | | |
| pbd-def | axiom | | |
| pfxclosed-def | axiom | | |
| pfxclosedl-def | axiom | | |
| lift-pred-fin | axiom | | |
| lift-pred-inf | axiom | | |
| montrl-def | axiom | | |