Theorems · Theorem · global analysis
OpenPartialHomeomorph.isOpen_extend_target
∀ {𝕜 : Type u_1} {E : Type u_2} {M : Type u_3} {H : Type u_4} [inst : NontriviallyNormedField 𝕜]
[inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : TopologicalSpace H] [inst_4 : TopologicalSpace M]
(f : OpenPartialHomeomorph M H) {I : ModelWithCorners 𝕜 E H} [I.Boundaryless], IsOpen (f.extend I).target- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · 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.preimageproof · cited by 4,946
- ModelWithCornersstatement and proof · cited by 2,462
- IsOpenstatement and proof · cited by 2,400
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- PartialEquiv.toFunproof · cited by 821
- OpenPartialHomeomorphstatement and proof · cited by 664
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