Theorems · Theorem · functional analysis
nndist_mulIndicator
∀ {α : Type u_2} {E : Type u_5} [inst : SeminormedGroup E] (s t : Set α) (f : α → E) (x : α),
nndist (s.mulIndicator f x) (t.mulIndicator f x) = ‖(symmDiff s t).mulIndicator f x‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- SeminormedGroupstatement and proof · cited by 250
- symmDiffstatement · cited by 236
- NNDist.nndiststatement · cited by 235
- NNReal.eqproof · cited by 201
- Set.mulIndicatorstatement · cited by 163
- dist_mulIndicatorproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- edist_mulIndicatorproof · cited by 0