Theorems · Theorem · global analysis
ModelWithCorners.range_eq_closure_interior
∀ {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),
Set.range ↑I = closure (interior (Set.range ↑I))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.rangestatement · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- closurestatement · cited by 1,254
- interiorstatement · cited by 714
- ModelWithCorners.toFun'statement · cited by 373
- Set.Subset.antisymmproof · cited by 213
- ModelWithCorners.isClosed_rangeproof · cited by 7
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