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The main lemmas of interest here are:
fold_right_permutation
proves that, when doing afold_right
with a commutative operator, any permutation of the sequence produces the same result.to_multiset_remove
strengthensto_multiset_ensures()
to reason about removing elements from a seq.lemma_multiset_has_no_duplicates_conv
is the converse oflemma_multiset_has_no_duplicates
and helps prove that, if a sequence wasno_duplicates()
, then any permutation (with an equalto_multiset()
) also hasno_duplicates()
.