Theorems · Theorem · order theory
DFinsupp.card_Ioc
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : DecidableEq ι] [inst_1 : (i : ι) → DecidableEq (α i)]
[inst_2 : (i : ι) → PartialOrder (α i)] [inst_3 : (i : ι) → Zero (α i)] [inst_4 : (i : ι) → LocallyFiniteOrder (α i)]
(f g : Π₀ (i : ι), α i), (Finset.Ioc f g).card = ∏ i ∈ f.support ∪ g.support, (Finset.Icc (f i) (g i)).card - 1- Defined in
- Mathlib.Data.DFinsupp.Interval
- Cited by
- 0 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.
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
- Finset.prodstatement and proof · cited by 2,356
- Finset.cardstatement and proof · cited by 2,327
- DFinsuppstatement and proof · cited by 694
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement and proof · cited by 348
- Finset.Iocstatement · cited by 301
- DFinsupp.supportstatement and proof · cited by 158
- DFinsupp.card_Iccproof · cited by 6
- Finset.card_Ioc_eq_card_Icc_sub_oneproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.