Theorems · Theorem · order theory
DFinsupp.card_pi
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → Zero (α i)] [inst_1 : DecidableEq ι]
[inst_2 : (i : ι) → DecidableEq (α i)] (f : Π₀ (i : ι), Finset (α i)), f.pi.card = f.prod fun i => ↑(f i).card- Defined in
- Mathlib.Data.DFinsupp.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidableEqDecidableEq
Around this declaration
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Cites10
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.cardstatement and proof · cited by 2,327
- DFinsuppstatement and proof · cited by 694
- Finset.prod_congrproof · cited by 646
- DFinsupp.supportproof · cited by 158
- Finset.zerostatement · cited by 74
- DFinsupp.prodstatement and proof · cited by 30
- DFinsupp.pistatement · cited by 2
- Finset.card_dfinsuppproof · cited by 2
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