Theorems · Theorem · information theory
hammingDist.congr_simp
∀ {ι : Type u_2} {β : ι → Type u_3} [inst : Fintype ι] {inst_1 : (i : ι) → DecidableEq (β i)}
[inst_2 : (i : ι) → DecidableEq (β i)] (x x_1 : (i : ι) → β i),
x = x_1 → ∀ (y y_1 : (i : ι) → β i), y = y_1 → hammingDist x y = hammingDist x_1 y_1- Defined in
- Mathlib.InformationTheory.Hamming
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- hammingDiststatement and proof · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- hammingNorm_compproof · cited by 1
- hammingNorm_comp_le_hammingNormproof · cited by 1