Theorems · Theorem · order theory
Finsupp.card_Ico
∀ {ι : Type u_1} {α : Type u_2} [inst : PartialOrder α] [inst_1 : Zero α] [inst_2 : LocallyFiniteOrder α]
[inst_3 : DecidableEq ι] [inst_4 : DecidableEq α] (f g : ι →₀ α),
(Finset.Ico f g).card = ∏ i ∈ f.support ∪ g.support, (Finset.Icc (f i) (g i)).card - 1- Defined in
- Mathlib.Data.Finsupp.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement and proof · cited by 5,255
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardstatement and proof · cited by 2,327
- Finsupp.supportstatement and proof · cited by 828
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement · cited by 450
- Finset.Iccstatement and proof · cited by 348
- Finset.card_Ico_eq_card_Icc_sub_oneproof · cited by 8
- Finsupp.card_Iccproof · cited by 5
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