Theorems · Definition · information theory
hammingNorm
{ι : Type u_2} →
{β : ι → Type u_3} → [Fintype ι] → [(i : ι) → DecidableEq (β i)] → [(i : ι) → Zero (β i)] → ((i : ι) → β i) → ℕThe Hamming weight function to the naturals.
- Defined in
- Mathlib.InformationTheory.Hamming
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- FintypeDecidableEqZero
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 by17
Results whose statement or proof uses this declaration.
- hammingDist_zero_rightstatement · cited by 1
- hammingNorm_compstatement · cited by 1
- hammingNorm_comp_le_hammingNormstatement · cited by 1
- hammingNorm_eq_zerostatement · cited by 1
- hammingDist_zero_leftstatement and proof · cited by 0
- hammingNorm_le_card_fintypestatement · cited by 0
- hammingNorm_lt_onestatement · cited by 0
- hammingNorm_ne_zero_iffstatement · cited by 0
- hammingNorm_nonnegstatement · cited by 0
- hammingNorm_pos_iffstatement · cited by 0
- hammingNorm_smulstatement · cited by 0
- hammingNorm_smul_le_hammingNormstatement · cited by 0