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Lemma dependency for Specification heap-fun

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:
split-uni	proved	all subs proved	disj, uni, apply,
sep	proved	all subs proved	uni, at-unir, at-unil, at-mk, in-uni, in-mk, disj, mk-exists, apply,
uni	proved	all subs proved	at-unir, at-unil, at-mk, in-uni, in-mk,
at-unil	proved	all subs proved	at-mk, in-mk, disj, in-uni,
at-unir	proved	all subs proved	at-mk, in-mk, disj, in-uni,
mk-ext	proved	all subs proved	mk-exists, apply,
mk-exists	proved	all subs proved	at-mk, in-mk, emp,
in-uni	proved	all subs proved	in-mk, disj,
mapex-put	proved	all subs proved	at-mk, in-mk, write, apply,
mapex-in0	proved	all subs proved	mapex-in, apply,
mapex-del	proved	all subs proved	del, apply,
map-putrev	proved	all subs proved	in-mk, write, apply,
map-put	proved	all subs proved	in-mk, write, apply,
map-in0	proved	all subs proved	map-in, apply,
map-del	proved	all subs proved	at-mk, in-mk, del, apply,
at-rw0	proved	all subs proved	at-rw, apply,
emp	proved	all subs proved	in-mk,
mapex-in	proved	all subs proved	at-mk, in-mk, apply,
write	proved	all subs proved	at-mk, in-mk,
map-in	proved	all subs proved	at-mk, in-mk, apply,
del	proved	all subs proved	at-mk, in-mk,
disj	proved	all subs proved	in-mk,
at-rw	proved	all subs proved	at-mk, in-mk, apply,
true-emp	proved	all subs proved	apply,
true-elim	proved	all subs proved	apply,
prop-true	proved	all subs proved	apply,
prop-sep	proved	all subs proved	apply,
prop-false	proved	all subs proved	apply,
prop-emp	proved	all subs proved	apply,
prop	proved	all subs proved	apply,
mapex-new	proved	all subs proved	at-mk, in-mk, apply,
mapex-elim	proved	all subs proved	apply,
ex3-shift	proved	all subs proved	apply,
ex2-shift	proved	all subs proved	apply,
ex1-shift	proved	all subs proved	apply,
apply	axiom
in-mk	axiom
at-mk	axiom