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Lemma dependency for Specification align

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:
is-aligned-elimprovedall subs proved is-aligned-multiplier, is-aligned-def,
alignup-same0provedall subs proved alignup-same, is-aligned-def,
alignup-isnot-smallerprovedall subs proved alignup-def, alignup-is-bigger,
alignup-is-even-biggerprovedall subs proved alignup-def, alignup-is-bigger,
aligndown-same0provedall subs proved aligndown-same, is-aligned-def,
is-aligned-multiplierprovedall subs proved is-aligned-def,
alignup-sameprovedall subs proved alignup-def,
alignup-is-biggerprovedall subs proved alignup-def,
aligndown-sameprovedall subs proved aligndown-def,
not-mod0-not-alignedprovedall subs proved is-aligned-def,
is-aligned-zeroprovedall subs proved is-aligned-def,
is-aligned-still-spaceprovedall subs proved is-aligned-def,
is-aligned-simpprovedall subs proved is-aligned-def,
is-aligned-sameprovedall subs proved is-aligned-def,
is-aligned-not-multiplesprovedall subs proved is-aligned-def,
is-aligned-multiple-1provedall subs proved is-aligned-def,
is-aligned-multipleprovedall subs proved is-aligned-def,
is-aligned-mod-alignmentprovedall subs proved is-aligned-def,
is-aligned-minusprovedall subs proved is-aligned-def,
is-aligned-aligndown-zeroprovedall subs proved is-aligned-def,
is-aligned-add-diff-lsprovedall subs proved is-aligned-def,
is-aligned-add-diff-leprovedall subs proved is-aligned-def,
is-aligned-addprovedall subs proved is-aligned-def,
between-is-alignedprovedall subs proved is-aligned-def,
alignup-upper-bound-01provedall subs proved is-aligned-def, alignup-def,
alignup-upper-boundprovedall subs proved alignup-def, is-aligned-def,
alignup-multiplierprovedall subs proved alignup-def,
alignup-lower-boundprovedall subs proved alignup-def, is-aligned-def,
alignup-le-is-alignedprovedall subs proved is-aligned-def, alignup-def,
alignup-leprovedall subs proved alignup-def,
alignup-is-alignedprovedall subs proved is-aligned-def, alignup-def,
alignup-calcprovedall subs proved is-aligned-def, alignup-def,
alignup-add-multprovedall subs proved alignup-def,
alignup-add-bounded1provedall subs proved alignup-def,
aligndown-sub-add-subprovedall subs proved div-mult-to-diff-mod, aligndown-def,
aligndown-same-equivprovedall subs proved is-aligned-def, aligndown-def,
aligndown-remainderprovedall subs proved aligndown-def,
aligndown-plus-remainderprovedall subs proved aligndown-def,
aligndown-not-smallerprovedall subs proved is-aligned-def, aligndown-def,
aligndown-multiplierprovedall subs proved aligndown-def,
aligndown-leprovedall subs proved is-aligned-def, aligndown-def,
aligndown-is-zeroprovedall subs proved aligndown-def,
aligndown-is-smaller-01provedall subs proved aligndown-def,
aligndown-is-smallerprovedall subs proved aligndown-def,
aligndown-is-nprovedall subs proved aligndown-def,
aligndown-is-aligned0provedall subs proved is-aligned-def, aligndown-def,
aligndown-is-aligned-addprovedall subs proved is-aligned-def, aligndown-def,
aligndown-is-alignedprovedall subs proved is-aligned-def, aligndown-def,
aligndown-eq-addprovedall subs proved is-aligned-def, aligndown-def,
aligndown-aligndown-addprovedall subs proved aligndown-def,
aligndown-add-same0provedall subs proved aligndown-def,
aligndown-add-sameprovedall subs proved aligndown-def,
aligndown-add-not-smallerprovedall subs proved aligndown-def,
aligndown-add-n-alignupprovedall subs proved is-aligned-def, alignup-def, aligndown-def,
aligndown-add-nprovedall subs proved aligndown-def,
add-n-aligndownprovedall subs proved aligndown-def,
div-mult-to-diff-modprovedall subs proved
alignup-defaxiom
is-aligned-defaxiom
aligndown-defaxiom