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Theorems · Theorem · information theory

hammingDist_self

∀ {ι : Type u_2} {β : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → DecidableEq (β i)] (x : (i : ι) → β i),
  hammingDist x x = 0

Corresponds to dist_self.

Defined in
Mathlib.InformationTheory.Hamming
Cited by
2 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

hammingDist_eq_zero · cited by 4hammingDist_eq_zerohammingNorm_zero · cited by 0hammingNorm_zeroFintype · cited by 7736FintypeFinset.univ · cited by 3473Finset.univFinset.card_eq_zero · cited by 34Finset.card_eq_zerohammingDist · cited by 26hammingDistFinset.filter_eq_empty_iff · cited by 8Finset.filter_eq_empty_iffhammingDist_selfCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.