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Theorems · Theorem · combinatorics

Fintype.card_fun

∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq α] [inst_1 : Fintype α] [inst_2 : Fintype β],
  Fintype.card (α → β) = Fintype.card β ^ Fintype.card α
Defined in
Mathlib.Data.Fintype.BigOperators
Cited by
3 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeFintype
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Dynamics.IsDynCoverOf.iterate_le_pow · cited by 2IsDynCoverOf.iterate_le_p…TruncatedWittVector.card · cited by 1TruncatedWittVector.cardSimpleGraph.card_topEdgeLabeling · cited by 0SimpleGraph.card_topEdgeL…Fintype · cited by 7736FintypeFintype.card · cited by 1386Fintype.cardFinset.prod_const · cited by 154Finset.prod_constFintype.card_pi · cited by 12Fintype.card_piFintype.card_funCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.