Theorems · Theorem · functional analysis
infEDist_inv_inv
∀ {E : Type u_1} [inst : SeminormedCommGroup E] (x : E) (s : Set E), Metric.infEDist x⁻¹ s⁻¹ = 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
- SeminormedCommGroup
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
- SeminormedCommGroupstatement and proof · cited by 191
- Metric.infEDiststatement and proof · cited by 147
- Set.invstatement · cited by 132
- Set.image_inv_eq_invproof · cited by 44
- Metric.infEDist_imageproof · cited by 7
- isometry_invproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- infEDist_invproof · cited by 1
- infEdist_inv_invproof · cited by 0