Theorems · Theorem · functional analysis
infEDist_neg_neg
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] (x : E) (s : Set E), Metric.infEDist (-x) (-s) = Metric.infEDist x s- Defined in
- Mathlib.Analysis.Normed.Group.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Set.negstatement · cited by 168
- Metric.infEDiststatement and proof · cited by 147
- Set.image_neg_eq_negproof · cited by 52
- Metric.infEDist_imageproof · cited by 7
- isometry_negproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- infEDist_negproof · cited by 3
- infEdist_neg_negproof · cited by 0