Theorems · Theorem · order theory
Finsupp.card_Iic
∀ {ι : Type u_1} {α : Type u_2} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [inst_2 : IsBotZeroClass α]
[inst_3 : OrderBot α] [inst_4 : LocallyFiniteOrder α] [inst_5 : DecidableEq ι] [inst_6 : DecidableEq α] (f : ι →₀ α),
(Finset.Iic f).card = ∏ i ∈ f.support, (Finset.Iic (f i)).card- Defined in
- Mathlib.Data.Finsupp.Interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- AddCommMonoidstatement and proof · cited by 12,281
- 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
- OrderBotstatement and proof · cited by 1,055
- Finsupp.supportstatement and proof · cited by 828
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.prod_congrproof · cited by 646
- Finset.Iccproof · cited by 348
- Finset.Iicstatement · cited by 280
Cited by1
Results whose statement or proof uses this declaration.
- Finsupp.card_Iioproof · cited by 0