Mathlib Map

Theorems · Theorem · combinatorics

Finset.card_finsupp

∀ {ι : Type u_1} {α : Type u_2} [inst : Zero α] (s : Finset ι) (t : ι → Finset α),
  (s.finsupp t).card = ∏ i ∈ s, (t i).card
Defined in
Mathlib.Data.Finset.Finsupp
Cited by
2 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finsupp.card_Icc · cited by 5Finsupp.card_IccFinsupp.card_pi · cited by 0Finsupp.card_piFinset · cited by 13712FinsetFinsupp · cited by 5255FinsuppFinset.prod · cited by 2356Finset.prodFinset.card · cited by 2327Finset.cardFinset.card_map · cited by 114Finset.card_mapFinsupp.indicator · cited by 22Finsupp.indicatorFinset.finsupp · cited by 4Finset.finsuppFinset.card_pi · cited by 4Finset.card_piFinsupp.indicator_injective · cited by 2Finsupp.indicator_injecti…Finset.card_finsuppCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.