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Theorems · Theorem · combinatorics

Finset.card_pi

∀ {ι : Type u_4} {α : ι → Type u_6} [inst : DecidableEq ι] (s : Finset ι) (t : (i : ι) → Finset (α i)),
  (s.pi t).card = ∏ i ∈ s, (t i).card
Defined in
Mathlib.Data.Fintype.BigOperators
Cited by
4 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Fintype.card_piFinset · cited by 10Fintype.card_piFinsetFinset.card_dfinsupp · cited by 2Finset.card_dfinsuppFinset.card_finsupp · cited by 2Finset.card_finsuppNat.card_finMulAntidiag_of_squarefree · cited by 1Nat.card_finMulAntidiag_o…Finset · cited by 13712FinsetFinset.prod · cited by 2356Finset.prodFinset.card · cited by 2327Finset.cardFinset.val · cited by 438Finset.valFinset.pi · cited by 23Finset.piMultiset.card_pi · cited by 1Multiset.card_piFinset.card_piCITED BYCITES

Cites6

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Cited by4

Results whose statement or proof uses this declaration.