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Theorems · Theorem · information theory

hammingDist_comm

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

Corresponds to dist_comm.

Defined in
Mathlib.InformationTheory.Hamming
Cited by
4 results in Mathlib
Foundations
Depth 55 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_zero_left · cited by 0hammingDist_zero_leftswap_hammingDist · cited by 0swap_hammingDisthammingDist_triangle_left · cited by 0hammingDist_triangle_lefthammingDist_triangle_right · cited by 0hammingDist_triangle_rightFintype · cited by 7736FintypeFinset.univ · cited by 3473Finset.univFinset.card · cited by 2327Finset.cardFinset.filter · cited by 949Finset.filterFinset.filter_congr · cited by 167Finset.filter_congrhammingDist · cited by 26hammingDisthammingDist_commCITED BYCITES

Cites6

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Cited by4

Results whose statement or proof uses this declaration.