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Lemma dependency for Specification maplet

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:
map-put	proved	all subs proved	mapex-in, map-putex,
map-put-rw	proved	all subs proved	mapex-elim, map-putex, map-in,
map-putex-simp	proved	all subs proved	map-putex,
mapex-put-rw	proved	all subs proved	map-putex, mapex-in,
map-putex	proved	all subs proved	mapex-in, ex3, mapex, maplet, map-write,
mapex-put	proved	all subs proved	map-write, ex3-shift, mapex, mapex-elim,
mapex-new-rw	proved	all subs proved	mapex-new,
mapex-new	proved	all subs proved	ex3, maplet, ex3-shift, mapex,
mapex-elim	proved	all subs proved	ex3-shift, mapex,
mapex-in	proved	all subs proved	map-in, ex3-shift, mapex,
at-eq	proved	all subs proved	at-rw,
eq-objs	proved	all subs proved	at-rw,
map-del	proved	all subs proved	maplet, map-in,
mapex-null	proved	all subs proved	ex3, map-null, mapex,
precise-mapornull	proved	all subs proved	precise-mapex, mapornull,
at-rw	proved	all subs proved	maplet,
map-in	proved	all subs proved	maplet,
map-null	proved	all subs proved	maplet,
map-write	proved	all subs proved	maplet,
ex3-shift	proved	all subs proved	ex3,
precise-mapex	proved	all subs proved	maplet, ex3, mapex,
precise-map	proved	all subs proved	maplet,
mapornull-ex	proved	all subs proved	mapex, mapornull,
mapornull-emp	proved	all subs proved	mapornull,
mapex-del	proved	all subs proved	maplet, ex3, mapex,
mapex-and	proved	all subs proved	ex3, maplet, mapex,
map-same	proved	all subs proved	maplet,
map-in0	proved	all subs proved	maplet,
ex3-shiftw	proved	all subs proved	ex3,
ex2-shiftw	proved	all subs proved	ex2,
ex2-shift	proved	all subs proved	ex2,
ex1-shiftw	proved	all subs proved	ex1,
ex1-shift	proved	all subs proved	ex1,
mapornull	axiom
mapex	axiom
ex3	axiom
ex2	axiom
ex1	axiom
maplet	axiom