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Lemma dependency for Specification ring

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:
invmult-rprovedall subs proved multassoc, multzero-r, addcom, addassoc, addinv-l, invtwice, addinv-unique, distr-r,
trivialringprovedall subs proved multassoc, multzero-l, multone-l,
invmult-lprovedall subs proved multassoc, multzero-l, addcom, addassoc, addinv-l, invtwice, addinv-unique, distr-l,
mult-minusoneprovedall subs proved multassoc, multzero-l, addcom, addassoc, addinv-l, addinv-unique, multone-l, distr-l,
multzero-lprovedall subs proved addassoc, addcom, addzero-l, addinv-l, invzero, distr-l, addinv-r,
invtwiceprovedall subs proved addassoc, addinv-l, addinv-unique, addcom,
multzero-rprovedall subs proved distr-r, addassoc, addcom, addinv-l, addzero-l, invzero,
addinv-uniqueprovedall subs proved addzero-l, addcom, addassoc, addinv-l,
invzeroprovedall subs proved addcom, addassoc, addinv-l, addzero-r,
zero-uniqueprovedall subs proved addinv-l, addcom, addassoc, addzero-l,
addzero-lprovedall subs proved addcom, addassoc, addzero-r,
addinv-lprovedall subs proved addcom, addassoc, addinv-r,
multone-laxiom
multassocaxiom
distr-raxiom
addinv-raxiom
distr-laxiom
addzero-raxiom
addassocaxiom
addcomaxiom