Theorems · Theorem · global analysis
closure_halfSpace
∀ {n : ℕ} (p : ENNReal) (a : ℝ) (i : Fin n), closure {y | a ≤ y.ofLp i} = {y | a ≤ y.ofLp i}- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Set.ofPredstatement · cited by 6,101
- Set.preimageproof · cited by 4,946
- closurestatement · cited by 1,254
- Set.Iciproof · cited by 1,070
- WithLp.ofLpstatement and proof · cited by 323
- PiLpstatement and proof · cited by 150
- IsOpenMap.preimage_closure_eq_closure_preimageproof · cited by 12
- PiLp.continuous_applyproof · cited by 8
- PiLp.isOpenMap_applyproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- frontier_halfSpaceproof · cited by 1