Theorems · Theorem · order theory
DFinsupp.card_uIcc
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : DecidableEq ι] [inst_1 : (i : ι) → DecidableEq (α i)]
[inst_2 : (i : ι) → Lattice (α i)] [inst_3 : (i : ι) → Zero (α i)] [inst_4 : (i : ι) → LocallyFiniteOrder (α i)]
(f g : Π₀ (i : ι), α i), (Finset.uIcc f g).card = ∏ i ∈ f.support ∪ g.support, (Finset.uIcc (f i) (g i)).card- Defined in
- Mathlib.Data.DFinsupp.Interval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 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 and proof · cited by 13,712
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardstatement and proof · cited by 2,327
- Latticestatement and proof · cited by 916
- DFinsuppstatement and proof · cited by 694
- LocallyFiniteOrderstatement and proof · cited by 658
- DFinsupp.supportstatement · cited by 158
- Finset.uIccstatement and proof · cited by 84
- DFinsupp.card_Iccproof · cited by 6
- DFinsupp.support_inf_union_support_supproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.card_uIccproof · cited by 0