Mathlib Map

Theorems · Definition · combinatorics

Finset.vcDim

{α : Type u_1} → [DecidableEq α] → Finset (Finset α) → ℕ

The Vapnik-Chervonenkis dimension of a set family is the maximal size of a set it shatters.

Defined in
Mathlib.Combinatorics.SetFamily.Shatter
Cited by
5 results in Mathlib
Foundations
Depth 75 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.

Finset.Shatters.card_le_vcDim · cited by 1Shatters.card_le_vcDimFinset.card_shatterer_le_sum_vcDim · cited by 0Finset.card_shatterer_le_…Finset.vcDim_compress_le · cited by 0Finset.vcDim_compress_leFinset.vcDim.congr_simp · cited by 0vcDim.congr_simpFinset.vcDim_mono · cited by 0Finset.vcDim_monoFinset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.sup · cited by 530Finset.supFinset.shatterer · cited by 11Finset.shattererFinset.vcDimCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.