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Theorems · Theorem · combinatorics

Multiset.card_range

∀ (n : ℕ), (Multiset.range n).card = n
Defined in
Mathlib.Data.Multiset.Range
Cited by
5 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.card_range · cited by 108Finset.card_rangeMultiset.map_toEnumFinset_fst · cited by 7Multiset.map_toEnumFinset…IsPrimitiveRoot.nthRoots_eq · cited by 3IsPrimitiveRoot.nthRoots_…Multiset.map_fst_le_of_subset_toEnumFinset · cited by 3Multiset.map_fst_le_of_su…IsPrimitiveRoot.card_nthRoots · cited by 2IsPrimitiveRoot.card_nthR…Multiset.card · cited by 375Multiset.cardMultiset.range · cited by 30Multiset.rangeMultiset.card_rangeCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.