Theorems · Theorem · order theory
Multiset.card_uIcc
∀ {α : Type u_1} [inst : DecidableEq α] (s t : Multiset α),
(Finset.uIcc s t).card = ∏ i ∈ s.toFinset ∪ t.toFinset, ((↑(Multiset.count i t) - ↑(Multiset.count i s)).natAbs + 1)- Defined in
- Mathlib.Data.Multiset.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Equiv.symmproof · cited by 3,681
- Multisetstatement and proof · cited by 2,627
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardstatement and proof · cited by 2,327
- Finset.prod_congrproof · cited by 646
- Multiset.countstatement and proof · cited by 302
- Equiv.toEmbeddingproof · cited by 254
- Multiset.toFinsetstatement and proof · cited by 230
- AddEquiv.toEquivproof · cited by 174
- DFinsupp.supportproof · cited by 158
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