Theorems · Theorem · combinatorics
Finsupp.card_pi
∀ {ι : Type u_1} {α : Type u_2} [inst : Zero α] (f : ι →₀ Finset α), f.pi.card = f.prod fun i => ↑(f i).card- Defined in
- Mathlib.Data.Finset.Finsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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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
- Finsuppstatement and proof · cited by 5,255
- Finset.cardstatement and proof · cited by 2,327
- Finsupp.supportproof · cited by 828
- Finset.prod_congrproof · cited by 646
- Finsupp.prodstatement and proof · cited by 231
- Finset.zerostatement · cited by 74
- Finsupp.pistatement · cited by 2
- Finset.card_finsuppproof · cited by 2
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