Theorems · Theorem · order theory
Finsupp.card_Icc
∀ {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.Icc f g).card = ∏ i ∈ f.support ∪ g.support, (Finset.Icc (f i) (g i)).card- Defined in
- Mathlib.Data.Finsupp.Interval
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Iccstatement and proof · cited by 348
- Finsupp.rangeIccproof · cited by 6
- Finset.card_finsuppproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Finsupp.card_Iicproof · cited by 1
- Finsupp.card_Icoproof · cited by 0
- Finsupp.card_Iocproof · cited by 0
- Finsupp.card_Iooproof · cited by 0
- Finsupp.card_uIccproof · cited by 0