Theorems · Theorem · global analysis
ModelWithCorners.right_inv
∀ {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) {x : E},
x ∈ Set.range ↑I → ↑I (↑I.symm x) = x- Cited by
- 26 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- PartialEquiv.toFunstatement · cited by 821
- ModelWithCorners.toFun'statement and proof · cited by 373
- ModelWithCorners.symmstatement · cited by 146
- ModelWithCorners.rightInvOnproof · cited by 3
Cited by26
Results whose statement or proof uses this declaration.
- contDiffWithinAtProp_idproof · cited by 5
- ModelWithCorners.contMDiffproof · cited by 4
- ContMDiff.inlproof · cited by 3
- ContMDiff.inrproof · cited by 3
- ModelWithCorners.contMDiffOn_symmproof · cited by 3
- hasMFDerivAt_idproof · cited by 3
- contMDiffOn_iffproof · cited by 2
- Manifold.IsImmersionAtOfComplement.of_opensproof · cited by 2
- Manifold.IsSubmersionOfComplement.idproof · cited by 1
- trivializationAt_model_space_applyproof · cited by 1
- ofSet_mem_contDiffGroupoidproof · cited by 1
- contMDiff_isOpenEmbeddingproof · cited by 1