Theorems · Theorem · functional analysis
edist_mulIndicator
∀ {α : Type u_2} {E : Type u_5} [inst : SeminormedGroup E] (s t : Set α) (f : α → E) (x : α),
edist (s.mulIndicator f x) (t.mulIndicator f x) = ↑‖(symmDiff s t).mulIndicator f x‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 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.
Cites11
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
- ENNRealstatement and proof · cited by 9,879
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- NNNorm.nnnormstatement and proof · cited by 952
- EDist.ediststatement · cited by 735
- SeminormedGroupstatement and proof · cited by 250
- symmDiffstatement and proof · cited by 236
- Set.mulIndicatorstatement and proof · cited by 163
- edist_nndistproof · cited by 38
- nndist_mulIndicatorproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.