Theorems · Theorem · global analysis
ModelWithCorners.convex_range
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] (I : ModelWithCorners 𝕜 E H)
[inst_4 : NormedSpace ℝ E], Convex ℝ (Set.range ↑I)- Cited by
- 5 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- CommSemiringproof · cited by 10,911
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Algebra.algebraMapproof · cited by 4,706
- Set.rangestatement and proof · cited by 4,705
- Set.univproof · cited by 3,945
- RCLikeproof · cited by 2,829
Cited by5
Results whose statement or proof uses this declaration.
- ModelWithCorners.uniqueDiffOnproof · cited by 7
- ModelWithCorners.range_subset_closure_interiorproof · cited by 2
- MDifferentiableAt.isInteriorPoint_of_surjective_mfderivproof · cited by 1
- ModelWithCorners.mem_interior_range_of_mem_interior_range_of_mem_atlasproof · cited by 1
- eventually_riemannianEDist_le_edist_extChartAtproof · cited by 1