Theorems · Theorem · global analysis
ModelWithCorners.target_eq
∀ {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),
I.target = Set.range ↑I- Cited by
- 42 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- 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.imageproof · cited by 5,609
- Set.rangestatement · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- PartialEquiv.targetstatement and proof · cited by 650
- ModelWithCorners.toFun'statement and proof · cited by 373
- Set.image_univproof · cited by 322
- ModelWithCorners.toPartialEquivstatement and proof · cited by 72
Cited by42
Results whose statement or proof uses this declaration.
- extChartAt_target_subset_rangeproof · cited by 15
- ModelWithCorners.image_eqproof · cited by 11
- mdifferentiableWithinAt_extChartAt_symmproof · cited by 7
- OpenPartialHomeomorph.extend_targetproof · cited by 5
- contMDiff_iffproof · cited by 4
- hasMFDerivAt_idproof · cited by 3
- VectorField.contMDiffWithinAt_mpullbackWithin_extChartAt_symmproof · cited by 3
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- ContMDiffWithinAt.mlieBracketWithin_vectorFieldproof · cited by 3
- Manifold.isLocalSourceTargetProperty_immersionAtPropproof · cited by 3
- Manifold.isLocalSourceTargetProperty_submmersionAtPropproof · cited by 3
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3