Theorems · Definition · information theory
hammingDist
{ι : Type u_2} →
{β : ι → Type u_3} → [Fintype ι] → [(i : ι) → DecidableEq (β i)] → ((i : ι) → β i) → ((i : ι) → β i) → ℕThe Hamming distance function to the naturals.
- Defined in
- Mathlib.InformationTheory.Hamming
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Finset.filterproof · cited by 949
Cited by26
Results whose statement or proof uses this declaration.
- hammingDist_commstatement · cited by 4
- hammingDist_eq_zerostatement and proof · cited by 4
- hammingDist_comp_le_hammingDiststatement · cited by 3
- hammingDist_selfstatement · cited by 2
- hammingDist_trianglestatement · cited by 2
- hammingDist.congr_simpstatement and proof · cited by 2
- hammingDist_compstatement · cited by 2
- hammingDist_posstatement and proof · cited by 1
- hammingDist_zero_rightstatement · cited by 1
- hammingNorm_compproof · cited by 1
- hammingNorm_comp_le_hammingNormproof · cited by 1
- eq_of_hammingDist_eq_zerostatement · cited by 1